Pub Date : 2025-02-12DOI: 10.1103/physrevd.111.043030
Connor Stratman, Tongyan Lin
At sufficiently low nuclear recoil energy, the scattering of dark matter (DM) in crystals gives rise to single phonon and multiphonon excitations. In anisotropic crystals, the scattering rate into phonons modulates over each sidereal day as the crystal rotates with respect to the DM wind. This gives a potential avenue for directional detection of DM. The daily modulation for single phonons has previously been calculated. Here we calculate the daily modulation for multiphonon excitations from DM in the mass range 1 MeV–1 GeV. We generalize previous multiphonon calculations, which made an isotropic approximation, and implement results in the DarkELF package. We find daily modulation rates up to 1%–10% for an Al2O3 target and DM mass below 30 MeV, depending on the recoil energies probed. We obtain similar results for SiC, while modulation in Si, GaAs, and SiO2 is negligible. Published by the American Physical Society2025
{"title":"Daily modulation of low-energy nuclear recoils from sub-GeV dark matter","authors":"Connor Stratman, Tongyan Lin","doi":"10.1103/physrevd.111.043030","DOIUrl":"https://doi.org/10.1103/physrevd.111.043030","url":null,"abstract":"At sufficiently low nuclear recoil energy, the scattering of dark matter (DM) in crystals gives rise to single phonon and multiphonon excitations. In anisotropic crystals, the scattering rate into phonons modulates over each sidereal day as the crystal rotates with respect to the DM wind. This gives a potential avenue for directional detection of DM. The daily modulation for single phonons has previously been calculated. Here we calculate the daily modulation for multiphonon excitations from DM in the mass range 1 MeV–1 GeV. We generalize previous multiphonon calculations, which made an isotropic approximation, and implement results in the DarkELF package. We find daily modulation rates up to 1%–10% for an Al</a:mi>2</a:mn></a:msub>O</a:mi>3</a:mn></a:msub></a:math> target and DM mass below 30 MeV, depending on the recoil energies probed. We obtain similar results for SiC, while modulation in Si, GaAs, and <d:math xmlns:d=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><d:mrow><d:msub><d:mrow><d:mi>SiO</d:mi></d:mrow><d:mrow><d:mn>2</d:mn></d:mrow></d:msub></d:mrow></d:math> is negligible. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"63 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143393519","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-12DOI: 10.1103/physrevd.111.043029
Badal Bhalla, Benjamin V. Lehmann, Kuver Sinha, Tao Xu
The abundance of massive primordial black holes has historically been constrained by dynamical probes. Since these objects can participate in hard few-body scattering processes, they can readily transfer energy to stellar systems and, in particular, disrupt wide binaries. However, disruption is not the only possible outcome of such few-body processes. Primordial black holes could also participate in exchange processes, in which one component of a binary system is ejected and replaced by the black hole itself. In this case, the remaining object in the binary would dynamically appear to have an invisible companion. We study the rate of exchange processes for primordial black holes as a component of dark matter and evaluate possible mechanisms for detecting such binaries. We find that many such binaries plausibly exist in the Solar neighborhood and show that this process can account for observed binary systems whose properties run counter to the predictions of isolated binary evolution. Published by the American Physical Society2025
{"title":"Three-body exchanges with primordial black holes","authors":"Badal Bhalla, Benjamin V. Lehmann, Kuver Sinha, Tao Xu","doi":"10.1103/physrevd.111.043029","DOIUrl":"https://doi.org/10.1103/physrevd.111.043029","url":null,"abstract":"The abundance of massive primordial black holes has historically been constrained by dynamical probes. Since these objects can participate in hard few-body scattering processes, they can readily transfer energy to stellar systems and, in particular, disrupt wide binaries. However, disruption is not the only possible outcome of such few-body processes. Primordial black holes could also participate in exchange processes, in which one component of a binary system is ejected and replaced by the black hole itself. In this case, the remaining object in the binary would dynamically appear to have an invisible companion. We study the rate of exchange processes for primordial black holes as a component of dark matter and evaluate possible mechanisms for detecting such binaries. We find that many such binaries plausibly exist in the Solar neighborhood and show that this process can account for observed binary systems whose properties run counter to the predictions of isolated binary evolution. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"54 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143401467","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-12DOI: 10.1103/physrevd.111.035010
Zeren Simon Wang, Yu Zhang, Wei Liu
Axionlike particles (ALPs) can be produced in meson decays via tree-level quark-flavor-violating couplings, and decay to a pair of sterile neutrinos if also coupled to them. Such light sterile neutrinos are necessarily long-lived and may give rise to striking signatures of displaced vertices (DVs) at terrestrial experiments. In this work, we study the prospect of the ongoing Belle II experiment for detecting the sterile neutrinos from the ALP, leveraging the O(1010) B-mesons projected to be produced at the experiment with an integrated luminosity of 50ab−1. We propose search strategies for one or two DVs, and perform Monte-Carlo simulations in order to estimate the sensitivity reach of Belle II to active-sterile-neutrino mixing |VeN|2 as functions of the sterile-neutrino mass. Signatures include a selected list of sterile-neutrino final states, for which we estimate an O(1) or lower background level. Our results show that the proposed search strategies can probe values of |VeN|2 up to about two orders of magnitude beyond the existing bounds, for ALP mass over 4 GeV and sterile-neutrino mass above the D-meson threshold. Compared to the one-DV search, the two-DV one, despite its weaker sensitivities as a result of double exponential suppression of the sterile-neutrino decay positions, possesses the advantage of possible full reconstruction of the signal event allowing for pinning down the masses of the sterile neutrino and the ALP, if a discovery is made. Published by the American Physical Society2025
{"title":"Long-lived sterile neutrinos from an axionlike particle at Belle II","authors":"Zeren Simon Wang, Yu Zhang, Wei Liu","doi":"10.1103/physrevd.111.035010","DOIUrl":"https://doi.org/10.1103/physrevd.111.035010","url":null,"abstract":"Axionlike particles (ALPs) can be produced in meson decays via tree-level quark-flavor-violating couplings, and decay to a pair of sterile neutrinos if also coupled to them. Such light sterile neutrinos are necessarily long-lived and may give rise to striking signatures of displaced vertices (DVs) at terrestrial experiments. In this work, we study the prospect of the ongoing Belle II experiment for detecting the sterile neutrinos from the ALP, leveraging the O</a:mi>(</a:mo>10</a:mn>10</a:mn></a:msup>)</a:mo></a:math> <f:math xmlns:f=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><f:mi>B</f:mi></f:math>-mesons projected to be produced at the experiment with an integrated luminosity of <h:math xmlns:h=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><h:mrow><h:mn>50</h:mn><h:mtext> </h:mtext><h:mtext> </h:mtext><h:msup><h:mrow><h:mi>ab</h:mi></h:mrow><h:mrow><h:mo>−</h:mo><h:mn>1</h:mn></h:mrow></h:msup></h:mrow></h:math>. We propose search strategies for one or two DVs, and perform Monte-Carlo simulations in order to estimate the sensitivity reach of Belle II to active-sterile-neutrino mixing <j:math xmlns:j=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><j:mo stretchy=\"false\">|</j:mo><j:msub><j:mi>V</j:mi><j:mrow><j:mi>e</j:mi><j:mi>N</j:mi></j:mrow></j:msub><j:msup><j:mo stretchy=\"false\">|</j:mo><j:mn>2</j:mn></j:msup></j:math> as functions of the sterile-neutrino mass. Signatures include a selected list of sterile-neutrino final states, for which we estimate an <n:math xmlns:n=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><n:mi mathvariant=\"script\">O</n:mi><n:mo stretchy=\"false\">(</n:mo><n:mn>1</n:mn><n:mo stretchy=\"false\">)</n:mo></n:math> or lower background level. Our results show that the proposed search strategies can probe values of <s:math xmlns:s=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><s:mo stretchy=\"false\">|</s:mo><s:msub><s:mi>V</s:mi><s:mrow><s:mi>e</s:mi><s:mi>N</s:mi></s:mrow></s:msub><s:msup><s:mo stretchy=\"false\">|</s:mo><s:mn>2</s:mn></s:msup></s:math> up to about two orders of magnitude beyond the existing bounds, for ALP mass over 4 GeV and sterile-neutrino mass above the <w:math xmlns:w=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><w:mi>D</w:mi></w:math>-meson threshold. Compared to the one-DV search, the two-DV one, despite its weaker sensitivities as a result of double exponential suppression of the sterile-neutrino decay positions, possesses the advantage of possible full reconstruction of the signal event allowing for pinning down the masses of the sterile neutrino and the ALP, if a discovery is made. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"35 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143401503","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-12DOI: 10.1103/physrevd.111.036019
J. Andrade, Rodolfo Casana, E. da Hora
We investigate the existence of Bogomol’nyi-Prasad-Sommerfield (BPS) structures in Maxwell-Higgs electrodynamics immersed in a chiral medium. The medium has its electromagnetic properties controlled by both a Chern-Simons term and a neutral scalar field. We implement the Bogomol’nyi-Prasad-Sommerfield technique and minimize the corresponding total energy. As a consequence, we get the BPS potential and the self-dual equations whose solutions saturate the Bogomol’nyi bound. In such a context, we look for vortices in two chiral media. The first one engenders localized configurations with an exponential decay similar to that of the standard Abrikosov-Nielsen-Olesen solutions. The second medium generates delocalized profiles whose tail follows a power-law decay. In both cases, we discuss the effects on the shape of the field profiles due to the chiral medium. Published by the American Physical Society2025
{"title":"BPS chiral vortices in Maxwell-Higgs electrodynamics","authors":"J. Andrade, Rodolfo Casana, E. da Hora","doi":"10.1103/physrevd.111.036019","DOIUrl":"https://doi.org/10.1103/physrevd.111.036019","url":null,"abstract":"We investigate the existence of Bogomol’nyi-Prasad-Sommerfield (BPS) structures in Maxwell-Higgs electrodynamics immersed in a chiral medium. The medium has its electromagnetic properties controlled by both a Chern-Simons term and a neutral scalar field. We implement the Bogomol’nyi-Prasad-Sommerfield technique and minimize the corresponding total energy. As a consequence, we get the BPS potential and the self-dual equations whose solutions saturate the Bogomol’nyi bound. In such a context, we look for vortices in two chiral media. The first one engenders localized configurations with an exponential decay similar to that of the standard Abrikosov-Nielsen-Olesen solutions. The second medium generates delocalized profiles whose tail follows a power-law decay. In both cases, we discuss the effects on the shape of the field profiles due to the chiral medium. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"47 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143401511","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-12DOI: 10.1103/physrevd.111.035012
Alexander Parada, G. Sanchez Garcia
We study the potential of a set of future detectors, proposed to be located at the European Spallation Source (ESS), to probe neutrino millicharges through coherent elastic neutrino-nucleus scattering. In particular, we focus on detectors with similar characteristics as those that are under development for operation at the ESS, including detection technologies based on cesium iodine, germanium, and noble gases. Under the considered conditions, we show that the Ge detector, with a lighter nuclear target mass with respect to CsI and a noble gas like Xe, is more efficient to constrain neutrino millicharges, reaching a sensitivity of ∼10−9e for diagonal neutrino millicharges, and ∼10−8e for the transition ones. In addition, we study the effects of including electron scattering processes for the CsI detector, achieving an expected sensitivity of ∼10−11e for the diagonal millicharges. Published by the American Physical Society2025
{"title":"Probing neutrino millicharges at the European Spallation Source","authors":"Alexander Parada, G. Sanchez Garcia","doi":"10.1103/physrevd.111.035012","DOIUrl":"https://doi.org/10.1103/physrevd.111.035012","url":null,"abstract":"We study the potential of a set of future detectors, proposed to be located at the European Spallation Source (ESS), to probe neutrino millicharges through coherent elastic neutrino-nucleus scattering. In particular, we focus on detectors with similar characteristics as those that are under development for operation at the ESS, including detection technologies based on cesium iodine, germanium, and noble gases. Under the considered conditions, we show that the Ge detector, with a lighter nuclear target mass with respect to CsI and a noble gas like Xe, is more efficient to constrain neutrino millicharges, reaching a sensitivity of ∼</a:mo>10</a:mn></a:mrow>−</a:mo>9</a:mn></a:mrow></a:msup>e</a:mi></a:mrow></a:math> for diagonal neutrino millicharges, and <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:mrow><c:mo>∼</c:mo><c:msup><c:mrow><c:mn>10</c:mn></c:mrow><c:mrow><c:mo>−</c:mo><c:mn>8</c:mn></c:mrow></c:msup><c:mi>e</c:mi></c:mrow></c:math> for the transition ones. In addition, we study the effects of including electron scattering processes for the CsI detector, achieving an expected sensitivity of <e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:mrow><e:mo>∼</e:mo><e:msup><e:mrow><e:mn>10</e:mn></e:mrow><e:mrow><e:mo>−</e:mo><e:mn>11</e:mn></e:mrow></e:msup><e:mi>e</e:mi></e:mrow></e:math> for the diagonal millicharges. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"62 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143401536","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-12DOI: 10.1103/physrevd.111.034018
Genessa Benton, Diogo Boito, Maarten Golterman, Alexander Keshavarzi, Kim Maltman, Santiago Peris
A key issue affecting the attempt to reduce the uncertainty on the Standard Model prediction for the muon anomalous magnetic moment is the current discrepancy between lattice-QCD and data-driven results for the hadronic vacuum polarization. Progress on this issue benefits from precise data-driven determinations of the isospin-limit light-quark-connected (lqc) and strange-plus-light-quark-disconnected (s+lqd) components of the related RBC/UKQCD windows. In this paper, using a strategy employed previously for the intermediate window, we provide data-driven results for the lqc and s+lqd components of the short- and long-distance RBC/UKQCD windows. Comparing these results with those from the lattice, we find significant discrepancies in the lqc parts but good agreement for the s+lqd components. We also explore the impact of recent CMD-3e+e−→π+π− cross section results, demonstrating that an upward shift in the ρ-peak region of the type seen in the CMD-3 data serves to eliminate the discrepancies for the lqc components without compromising the good agreement between lattice and data-driven s+lqd results. Published by the American Physical Society2025
{"title":"Data-driven results for light-quark connected and strange-plus-disconnected hadronic g−2 short- and long-distance windows","authors":"Genessa Benton, Diogo Boito, Maarten Golterman, Alexander Keshavarzi, Kim Maltman, Santiago Peris","doi":"10.1103/physrevd.111.034018","DOIUrl":"https://doi.org/10.1103/physrevd.111.034018","url":null,"abstract":"A key issue affecting the attempt to reduce the uncertainty on the Standard Model prediction for the muon anomalous magnetic moment is the current discrepancy between lattice-QCD and data-driven results for the hadronic vacuum polarization. Progress on this issue benefits from precise data-driven determinations of the isospin-limit light-quark-connected (lqc) and strange-plus-light-quark-disconnected (s</a:mi>+</a:mo>lqd</a:mi></a:mrow></a:math>) components of the related RBC/UKQCD windows. In this paper, using a strategy employed previously for the intermediate window, we provide data-driven results for the lqc and <d:math xmlns:d=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><d:mrow><d:mi mathvariant=\"normal\">s</d:mi><d:mo>+</d:mo><d:mi>lqd</d:mi></d:mrow></d:math> components of the short- and long-distance RBC/UKQCD windows. Comparing these results with those from the lattice, we find significant discrepancies in the lqc parts but good agreement for the <g:math xmlns:g=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><g:mrow><g:mi mathvariant=\"normal\">s</g:mi><g:mo>+</g:mo><g:mi>lqd</g:mi></g:mrow></g:math> components. We also explore the impact of recent CMD-<j:math xmlns:j=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><j:mn>3</j:mn><j:mtext> </j:mtext><j:mtext> </j:mtext><j:msup><j:mi>e</j:mi><j:mo>+</j:mo></j:msup><j:msup><j:mi>e</j:mi><j:mo>−</j:mo></j:msup><j:mo stretchy=\"false\">→</j:mo><j:msup><j:mi>π</j:mi><j:mo>+</j:mo></j:msup><j:msup><j:mi>π</j:mi><j:mo>−</j:mo></j:msup></j:math> cross section results, demonstrating that an upward shift in the <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><m:mi>ρ</m:mi></m:math>-peak region of the type seen in the CMD-3 data serves to eliminate the discrepancies for the lqc components without compromising the good agreement between lattice and data-driven <o:math xmlns:o=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><o:mrow><o:mi mathvariant=\"normal\">s</o:mi><o:mo>+</o:mo><o:mi>lqd</o:mi></o:mrow></o:math> results. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"3 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143401582","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-12DOI: 10.1103/physrevd.111.034017
Jens O. Andersen, Martin Kjøllesdal Johnsrud, Qing Yu, Hua Zhou
We present recent results in three-flavor chiral perturbation theory at finite isospin μ</a:mi>I</a:mi></a:msub></a:math> and strangeness <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:msub><c:mi>μ</c:mi><c:mi>S</c:mi></c:msub></c:math> chemical potentials at zero temperature. The tree-level spectrum for the mesons and gauge bosons in the pion-condensed phase is derived. The phase diagram to <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mi mathvariant="script">O</e:mi><e:mo stretchy="false">(</e:mo><e:msup><e:mi>p</e:mi><e:mn>2</e:mn></e:msup><e:mo stretchy="false">)</e:mo></e:math> in the <j:math xmlns:j="http://www.w3.org/1998/Math/MathML" display="inline"><j:msub><j:mi>μ</j:mi><j:mi>I</j:mi></j:msub><j:mi>–</j:mi><j:msub><j:mi>μ</j:mi><j:mi>S</j:mi></j:msub></j:math> plane is mapped out with and without electromagnetic effects. The phase diagram consists of a vacuum phase and three Bose-condensed phases with condensates of <l:math xmlns:l="http://www.w3.org/1998/Math/MathML" display="inline"><l:msup><l:mi>π</l:mi><l:mo>±</l:mo></l:msup></l:math>, <n:math xmlns:n="http://www.w3.org/1998/Math/MathML" display="inline"><n:msup><n:mi>K</n:mi><n:mo>±</n:mo></n:msup></n:math>, and <p:math xmlns:p="http://www.w3.org/1998/Math/MathML" display="inline"><p:msup><p:mi>K</p:mi><p:mn>0</p:mn></p:msup><p:mo>/</p:mo><p:msup><p:mover accent="true"><p:mi>K</p:mi><p:mo stretchy="false">¯</p:mo></p:mover><p:mn>0</p:mn></p:msup></p:math>, respectively. Including electromagnetic interactions, the charged Bose-condensed phases become Higgs phases via the Higgs mechanism. We calculate the pressure, energy density, isospin density, and speed of sound in the pion-condensed phase to <t:math xmlns:t="http://www.w3.org/1998/Math/MathML" display="inline"><t:mi mathvariant="script">O</t:mi><t:mo stretchy="false">(</t:mo><t:msup><t:mi>p</t:mi><t:mn>4</t:mn></t:msup><t:mo stretchy="false">)</t:mo></t:math>. The results are compared with recent lattice simulations and the agreement is very good for isospin chemical potentials up to approximately 180 MeV. Moreover, by integrating out the <y:math xmlns:y="http://www.w3.org/1998/Math/MathML" display="inline"><y:mi>s</y:mi></y:math>-quark, we show that the thermodynamic quantities can be mapped onto their two-flavor counterparts with renormalized parameters. The breaking of the U(1) symmetry in the Bose-condensed phases gives rise to a Goldstone boson, whose dispersion is linear for small momenta. We use Son’s prescription to construct an effective theory for the Goldstone mode in the pion-condensed phase, which is valid for momenta p</ab:mi>≪</ab:mo>μ</ab:mi>I</ab:mi></ab:msub></ab:math>. It is shown that its damping rate is of order <cb:math xmlns:cb="http://www.w3.org/1998/Math/MathML" display="inline"><cb:msup><cb:mi>p</cb:mi><cb:mn>5</cb:mn></cb:msup></cb:math> in the nonrelativistic limit, which is Beliaev’s result for a dilute Bose gas. It is also shown that in the nonrel
{"title":"Chiral perturbation theory and Bose-Einstein condensation in QCD","authors":"Jens O. Andersen, Martin Kjøllesdal Johnsrud, Qing Yu, Hua Zhou","doi":"10.1103/physrevd.111.034017","DOIUrl":"https://doi.org/10.1103/physrevd.111.034017","url":null,"abstract":"We present recent results in three-flavor chiral perturbation theory at finite isospin μ</a:mi>I</a:mi></a:msub></a:math> and strangeness <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:msub><c:mi>μ</c:mi><c:mi>S</c:mi></c:msub></c:math> chemical potentials at zero temperature. The tree-level spectrum for the mesons and gauge bosons in the pion-condensed phase is derived. The phase diagram to <e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:mi mathvariant=\"script\">O</e:mi><e:mo stretchy=\"false\">(</e:mo><e:msup><e:mi>p</e:mi><e:mn>2</e:mn></e:msup><e:mo stretchy=\"false\">)</e:mo></e:math> in the <j:math xmlns:j=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><j:msub><j:mi>μ</j:mi><j:mi>I</j:mi></j:msub><j:mi>–</j:mi><j:msub><j:mi>μ</j:mi><j:mi>S</j:mi></j:msub></j:math> plane is mapped out with and without electromagnetic effects. The phase diagram consists of a vacuum phase and three Bose-condensed phases with condensates of <l:math xmlns:l=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><l:msup><l:mi>π</l:mi><l:mo>±</l:mo></l:msup></l:math>, <n:math xmlns:n=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><n:msup><n:mi>K</n:mi><n:mo>±</n:mo></n:msup></n:math>, and <p:math xmlns:p=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><p:msup><p:mi>K</p:mi><p:mn>0</p:mn></p:msup><p:mo>/</p:mo><p:msup><p:mover accent=\"true\"><p:mi>K</p:mi><p:mo stretchy=\"false\">¯</p:mo></p:mover><p:mn>0</p:mn></p:msup></p:math>, respectively. Including electromagnetic interactions, the charged Bose-condensed phases become Higgs phases via the Higgs mechanism. We calculate the pressure, energy density, isospin density, and speed of sound in the pion-condensed phase to <t:math xmlns:t=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><t:mi mathvariant=\"script\">O</t:mi><t:mo stretchy=\"false\">(</t:mo><t:msup><t:mi>p</t:mi><t:mn>4</t:mn></t:msup><t:mo stretchy=\"false\">)</t:mo></t:math>. The results are compared with recent lattice simulations and the agreement is very good for isospin chemical potentials up to approximately 180 MeV. Moreover, by integrating out the <y:math xmlns:y=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><y:mi>s</y:mi></y:math>-quark, we show that the thermodynamic quantities can be mapped onto their two-flavor counterparts with renormalized parameters. The breaking of the U(1) symmetry in the Bose-condensed phases gives rise to a Goldstone boson, whose dispersion is linear for small momenta. We use Son’s prescription to construct an effective theory for the Goldstone mode in the pion-condensed phase, which is valid for momenta p</ab:mi>≪</ab:mo>μ</ab:mi>I</ab:mi></ab:msub></ab:math>. It is shown that its damping rate is of order <cb:math xmlns:cb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><cb:msup><cb:mi>p</cb:mi><cb:mn>5</cb:mn></cb:msup></cb:math> in the nonrelativistic limit, which is Beliaev’s result for a dilute Bose gas. It is also shown that in the nonrel","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"8 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143401509","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-12DOI: 10.1103/physrevd.111.036020
Wen Yin, Junya Yoshida
Axionlike particles (ALPs), hypothetical particles, are known to be produced through axion-photon conversion in the presence of a stationary external magnetic field that is strong enough. Devices such as undulators and wigglers, which are used widely for photon production, e.g., in synchrotron radiation facilities, inherently possess strong magnetic fields, making them potential sources for ALP production without introducing additional light source or magnetic fields. In this paper, we establish formalisms and formulas for studying ALP production in the ALP-photon-charged current system based on quantum field theory. We demonstrate that ALP production is inevitable in any undulator with the standard designs due to the electron Coulomb potential as well as a “photon resonance” effect depending on the ALP mass. In particular, ALPs are predominantly produced in a direction slightly misaligned with the photons’ main direction. We propose placing detectors in the desired directions during operations of the originally planned experiments as an efficient approach to simultaneously probing ALPs. The calculation methods and formulas developed in this study are applicable to ALP production from other environments and productions of other particles beyond the standard model relevant to synchrotron radiations. Published by the American Physical Society2025
{"title":"Undulators are ALP factories","authors":"Wen Yin, Junya Yoshida","doi":"10.1103/physrevd.111.036020","DOIUrl":"https://doi.org/10.1103/physrevd.111.036020","url":null,"abstract":"Axionlike particles (ALPs), hypothetical particles, are known to be produced through axion-photon conversion in the presence of a stationary external magnetic field that is strong enough. Devices such as undulators and wigglers, which are used widely for photon production, e.g., in synchrotron radiation facilities, inherently possess strong magnetic fields, making them potential sources for ALP production without introducing additional light source or magnetic fields. In this paper, we establish formalisms and formulas for studying ALP production in the ALP-photon-charged current system based on quantum field theory. We demonstrate that ALP production is inevitable in any undulator with the standard designs due to the electron Coulomb potential as well as a “photon resonance” effect depending on the ALP mass. In particular, ALPs are predominantly produced in a direction slightly misaligned with the photons’ main direction. We propose placing detectors in the desired directions during operations of the originally planned experiments as an efficient approach to simultaneously probing ALPs. The calculation methods and formulas developed in this study are applicable to ALP production from other environments and productions of other particles beyond the standard model relevant to synchrotron radiations. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"63 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143401504","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-12DOI: 10.1103/physrevd.111.035011
Yan Shao, Zhen-hua Zhao
In the literature, the neutrino μ−τ reflection symmetry (which has the interesting predictions θ23=π/4 and δ=±π/2 for the atmospherical neutrino mixing angle and Dirac CP phase) is an attractive and widely studied candidate for the flavor symmetries in the neutrino sector. However, it is known that, when the seesaw model is furnished with this symmetry, the leptogenesis mechanism (which provides an elegant explanation for the baryon-antibaryon asymmetry of the Universe) can only work in the two-flavor regime (which only holds for the right-handed neutrino masses in the range 109–1012GeV). This prohibits us to have a low scale seesaw model (which has the potential to be directly accessed by running or upcoming collider experiments) that can have the μ−τ reflection symmetry and successful leptogenesis simultaneously. In this paper, for the first time, we demonstrate that the successful leptogenesis may also be achieved in low scale seesaw models furnished with the μ−τ reflection symmetry, by means of the flavor nonuniversality of the conversion efficiencies from the flavored lepton asymmetries to the baryon asymmetry via the sphaleron process. We perform the study in both the resonant leptogenesis regime and the leptogenesis via oscillations (Akhmedov-Rubakov-Smirnov leptogenesis) regime. Published by the American Physical Society2025
{"title":"Low scale leptogenesis under neutrino μ−τ reflection symmetry","authors":"Yan Shao, Zhen-hua Zhao","doi":"10.1103/physrevd.111.035011","DOIUrl":"https://doi.org/10.1103/physrevd.111.035011","url":null,"abstract":"In the literature, the neutrino μ</a:mi>−</a:mo>τ</a:mi></a:math> reflection symmetry (which has the interesting predictions <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:msub><c:mi>θ</c:mi><c:mn>23</c:mn></c:msub><c:mo>=</c:mo><c:mi>π</c:mi><c:mo>/</c:mo><c:mn>4</c:mn></c:math> and <e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:mi>δ</e:mi><e:mo>=</e:mo><e:mo>±</e:mo><e:mi>π</e:mi><e:mo>/</e:mo><e:mn>2</e:mn></e:math> for the atmospherical neutrino mixing angle and Dirac <g:math xmlns:g=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><g:mi>C</g:mi><g:mi>P</g:mi></g:math> phase) is an attractive and widely studied candidate for the flavor symmetries in the neutrino sector. However, it is known that, when the seesaw model is furnished with this symmetry, the leptogenesis mechanism (which provides an elegant explanation for the baryon-antibaryon asymmetry of the Universe) can only work in the two-flavor regime (which only holds for the right-handed neutrino masses in the range <i:math xmlns:i=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><i:msup><i:mn>10</i:mn><i:mn>9</i:mn></i:msup><i:mi>–</i:mi><i:msup><i:mn>10</i:mn><i:mn>12</i:mn></i:msup><i:mtext> </i:mtext><i:mtext> </i:mtext><i:mi>GeV</i:mi></i:math>). This prohibits us to have a low scale seesaw model (which has the potential to be directly accessed by running or upcoming collider experiments) that can have the <k:math xmlns:k=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><k:mi>μ</k:mi><k:mo>−</k:mo><k:mi>τ</k:mi></k:math> reflection symmetry and successful leptogenesis simultaneously. In this paper, for the first time, we demonstrate that the successful leptogenesis may also be achieved in low scale seesaw models furnished with the <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><m:mi>μ</m:mi><m:mo>−</m:mo><m:mi>τ</m:mi></m:math> reflection symmetry, by means of the flavor nonuniversality of the conversion efficiencies from the flavored lepton asymmetries to the baryon asymmetry via the sphaleron process. We perform the study in both the resonant leptogenesis regime and the leptogenesis via oscillations (Akhmedov-Rubakov-Smirnov leptogenesis) regime. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"41 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143401468","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-12DOI: 10.1103/physrevd.111.l041701
Oleg Antipin, Jahmall Bersini, Francesco Sannino
We determine the scaling dimension Δ</a:mi>n</a:mi></a:msub></a:math> for the class of composite operators <d:math xmlns:d="http://www.w3.org/1998/Math/MathML" display="inline"><d:msup><d:mi>ϕ</d:mi><d:mi>n</d:mi></d:msup></d:math> in the <f:math xmlns:f="http://www.w3.org/1998/Math/MathML" display="inline"><f:mi>λ</f:mi><f:msup><f:mi>ϕ</f:mi><f:mn>4</f:mn></f:msup></f:math> theory in <h:math xmlns:h="http://www.w3.org/1998/Math/MathML" display="inline"><h:mi>d</h:mi><h:mo>=</h:mo><h:mn>4</h:mn><h:mo>−</h:mo><h:mi>ε</h:mi></h:math> taking the double scaling limit <j:math xmlns:j="http://www.w3.org/1998/Math/MathML" display="inline"><j:mi>n</j:mi><j:mo stretchy="false">→</j:mo><j:mi>∞</j:mi></j:math> and <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:mi>λ</m:mi><m:mo stretchy="false">→</m:mo><m:mn>0</m:mn></m:math> with fixed <p:math xmlns:p="http://www.w3.org/1998/Math/MathML" display="inline"><p:mi>λ</p:mi><p:mi>n</p:mi></p:math> via a semiclassical approach. Our results resum the leading power of <r:math xmlns:r="http://www.w3.org/1998/Math/MathML" display="inline"><r:mi>n</r:mi></r:math> at any loop order. In the small <t:math xmlns:t="http://www.w3.org/1998/Math/MathML" display="inline"><t:mi>λ</t:mi><t:mi>n</t:mi></t:math> regime we reproduce the known diagrammatic results and predict the infinite series of higher-order terms. For intermediate values of <v:math xmlns:v="http://www.w3.org/1998/Math/MathML" display="inline"><v:mi>λ</v:mi><v:mi>n</v:mi></v:math> we find that <x:math xmlns:x="http://www.w3.org/1998/Math/MathML" display="inline"><x:msub><x:mi mathvariant="normal">Δ</x:mi><x:mi>n</x:mi></x:msub><x:mo>/</x:mo><x:mi>n</x:mi></x:math> increases monotonically approaching a (</ab:mo>λ</ab:mi>n</ab:mi>)</ab:mo>1</ab:mn>/</ab:mo>3</ab:mn></ab:mrow></ab:msup></ab:math> behavior in the <eb:math xmlns:eb="http://www.w3.org/1998/Math/MathML" display="inline"><eb:mi>λ</eb:mi><eb:mi>n</eb:mi><eb:mo stretchy="false">→</eb:mo><eb:mi>∞</eb:mi></eb:math> limit. We further generalize our results to neutral operators in the <hb:math xmlns:hb="http://www.w3.org/1998/Math/MathML" display="inline"><hb:msup><hb:mi>ϕ</hb:mi><hb:mn>4</hb:mn></hb:msup></hb:math> in <jb:math xmlns:jb="http://www.w3.org/1998/Math/MathML" display="inline"><jb:mi>d</jb:mi><jb:mo>=</jb:mo><jb:mn>4</jb:mn><jb:mo>−</jb:mo><jb:mi>ε</jb:mi></jb:math>, <lb:math xmlns:lb="http://www.w3.org/1998/Math/MathML" display="inline"><lb:msup><lb:mi>ϕ</lb:mi><lb:mn>3</lb:mn></lb:msup></lb:math> in <nb:math xmlns:nb="http://www.w3.org/1998/Math/MathML" display="inline"><nb:mi>d</nb:mi><nb:mo>=</nb:mo><nb:mn>6</nb:mn><nb:mo>−</nb:mo><nb:mi>ε</nb:mi></nb:math>, and <pb:math xmlns:pb="http://www.w3.org/1998/Math/MathML" display="inline"><pb:msup><pb:mi>ϕ</pb:mi><pb:mn>6</pb:mn></pb:msup></pb:math> in <rb:math xmlns:rb="http://www.w3.org/1998/Math/MathML" display="inline"><rb:mi>d</rb:mi><rb:mo>=</rb:mo><rb:mn>3</rb:mn><rb:mo>−</rb:mo><rb:mi>ε</rb:mi></rb:math> theories wi
{"title":"Exact results for scaling dimensions of neutral operators in scalar conformal field theories","authors":"Oleg Antipin, Jahmall Bersini, Francesco Sannino","doi":"10.1103/physrevd.111.l041701","DOIUrl":"https://doi.org/10.1103/physrevd.111.l041701","url":null,"abstract":"We determine the scaling dimension Δ</a:mi>n</a:mi></a:msub></a:math> for the class of composite operators <d:math xmlns:d=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><d:msup><d:mi>ϕ</d:mi><d:mi>n</d:mi></d:msup></d:math> in the <f:math xmlns:f=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><f:mi>λ</f:mi><f:msup><f:mi>ϕ</f:mi><f:mn>4</f:mn></f:msup></f:math> theory in <h:math xmlns:h=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><h:mi>d</h:mi><h:mo>=</h:mo><h:mn>4</h:mn><h:mo>−</h:mo><h:mi>ε</h:mi></h:math> taking the double scaling limit <j:math xmlns:j=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><j:mi>n</j:mi><j:mo stretchy=\"false\">→</j:mo><j:mi>∞</j:mi></j:math> and <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><m:mi>λ</m:mi><m:mo stretchy=\"false\">→</m:mo><m:mn>0</m:mn></m:math> with fixed <p:math xmlns:p=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><p:mi>λ</p:mi><p:mi>n</p:mi></p:math> via a semiclassical approach. Our results resum the leading power of <r:math xmlns:r=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><r:mi>n</r:mi></r:math> at any loop order. In the small <t:math xmlns:t=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><t:mi>λ</t:mi><t:mi>n</t:mi></t:math> regime we reproduce the known diagrammatic results and predict the infinite series of higher-order terms. For intermediate values of <v:math xmlns:v=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><v:mi>λ</v:mi><v:mi>n</v:mi></v:math> we find that <x:math xmlns:x=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><x:msub><x:mi mathvariant=\"normal\">Δ</x:mi><x:mi>n</x:mi></x:msub><x:mo>/</x:mo><x:mi>n</x:mi></x:math> increases monotonically approaching a (</ab:mo>λ</ab:mi>n</ab:mi>)</ab:mo>1</ab:mn>/</ab:mo>3</ab:mn></ab:mrow></ab:msup></ab:math> behavior in the <eb:math xmlns:eb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><eb:mi>λ</eb:mi><eb:mi>n</eb:mi><eb:mo stretchy=\"false\">→</eb:mo><eb:mi>∞</eb:mi></eb:math> limit. We further generalize our results to neutral operators in the <hb:math xmlns:hb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><hb:msup><hb:mi>ϕ</hb:mi><hb:mn>4</hb:mn></hb:msup></hb:math> in <jb:math xmlns:jb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><jb:mi>d</jb:mi><jb:mo>=</jb:mo><jb:mn>4</jb:mn><jb:mo>−</jb:mo><jb:mi>ε</jb:mi></jb:math>, <lb:math xmlns:lb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><lb:msup><lb:mi>ϕ</lb:mi><lb:mn>3</lb:mn></lb:msup></lb:math> in <nb:math xmlns:nb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><nb:mi>d</nb:mi><nb:mo>=</nb:mo><nb:mn>6</nb:mn><nb:mo>−</nb:mo><nb:mi>ε</nb:mi></nb:math>, and <pb:math xmlns:pb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><pb:msup><pb:mi>ϕ</pb:mi><pb:mn>6</pb:mn></pb:msup></pb:math> in <rb:math xmlns:rb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><rb:mi>d</rb:mi><rb:mo>=</rb:mo><rb:mn>3</rb:mn><rb:mo>−</rb:mo><rb:mi>ε</rb:mi></rb:math> theories wi","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"66 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143401505","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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