Pub Date : 2025-12-13DOI: 10.1140/epjc/s10052-025-14941-0
M. A. Braun, E. M. Kuzminskii, M. I. Vyazovsky
The Regge–Gribov model of the pomeron and odderon in non-trivial transverse space is studied by the renormalization group technique in the single-loop approximation. The pomeron and odderon are taken to have different bare intercepts and slopes. The behaviour when the intercepts move from below to their critical values compatible with the Froissart limitation is studied. The singularities in the form of non-trivial branch points indicating a phase transition are found in the vicinity of five fixed points reported in a previous publication. Since new phases violate the projectile–target symmetry, the model is found non-physical for the bare intercepts above their critical value.
{"title":"On the reggeon model with the pomeron and odderon: singularities with non-zero masses","authors":"M. A. Braun, E. M. Kuzminskii, M. I. Vyazovsky","doi":"10.1140/epjc/s10052-025-14941-0","DOIUrl":"10.1140/epjc/s10052-025-14941-0","url":null,"abstract":"<div><p>The Regge–Gribov model of the pomeron and odderon in non-trivial transverse space is studied by the renormalization group technique in the single-loop approximation. The pomeron and odderon are taken to have different bare intercepts and slopes. The behaviour when the intercepts move from below to their critical values compatible with the Froissart limitation is studied. The singularities in the form of non-trivial branch points indicating a phase transition are found in the vicinity of five fixed points reported in a previous publication. Since new phases violate the projectile–target symmetry, the model is found non-physical for the bare intercepts above their critical value.\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"85 12","pages":""},"PeriodicalIF":4.8,"publicationDate":"2025-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-14941-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145729853","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-12-13DOI: 10.1140/epjc/s10052-025-15140-7
Gonçalo Barreto, Ivo de Medeiros Varzielas
We perform an analysis of the scalar sector of 3 Higgs Doublet Models with softly broken (Delta (54)) and (Sigma (36)) symmetries. We consider the various vacuum expectation value alignments and consider, for each, softly broken terms that deviate the alignment. We check the evolution of the minima, present analytical and numerical results for the lifting of the degeneracies of the physical eigenstates, and describe the decays of the states considering any residual symmetries.
{"title":"3HDM with softly broken (Delta (54)) and (Sigma (36))","authors":"Gonçalo Barreto, Ivo de Medeiros Varzielas","doi":"10.1140/epjc/s10052-025-15140-7","DOIUrl":"10.1140/epjc/s10052-025-15140-7","url":null,"abstract":"<div><p>We perform an analysis of the scalar sector of 3 Higgs Doublet Models with softly broken <span>(Delta (54))</span> and <span>(Sigma (36))</span> symmetries. We consider the various vacuum expectation value alignments and consider, for each, softly broken terms that deviate the alignment. We check the evolution of the minima, present analytical and numerical results for the lifting of the degeneracies of the physical eigenstates, and describe the decays of the states considering any residual symmetries.\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"85 12","pages":""},"PeriodicalIF":4.8,"publicationDate":"2025-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-15140-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145730299","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-12-12DOI: 10.1140/epjc/s10052-025-15144-3
Amr AlBarqawy, Adel Awad, Esraa Elkhateeb, Mohamed Tharwat
Motivated by the recent developments in the thermodynamics of Taub–NUT spaces and the absence of Misner strings in Taub–NUT solutions with flat horizons, we study the phase structure of the dyonic Taub–NUT solutions with Lorentzian signature. We follow the treatment proposed in arXiv:2206.09124 and arXiv:2304.06705 to introduce the NUT parameter as a conserved charge to the first law. Although the calculated quantities satisfy the first law, we have found a larger class of charges that satisfy the first law and depend on some arbitrary parameter (alpha ). We choose to describe phase diagrams as NUT parameter-temperature graphs to show borders of big and small black brane phases. We study the phase structure of these spaces in a mixed ensemble (i.e., fixed electric potential, NUT charge, and magnetic charge), which we classify into different cases depending on the value of (alpha ) and the other quantities. Most of these cases not only have first-order phase transitions, but also, end at critical points. Some of these cases include up to four critical points, depending on the value of (alpha ) and the other quantities.
{"title":"Dyonic Taub–NUT–AdS black branes: thermodynamics and phase diagrams","authors":"Amr AlBarqawy, Adel Awad, Esraa Elkhateeb, Mohamed Tharwat","doi":"10.1140/epjc/s10052-025-15144-3","DOIUrl":"10.1140/epjc/s10052-025-15144-3","url":null,"abstract":"<div><p>Motivated by the recent developments in the thermodynamics of Taub–NUT spaces and the absence of Misner strings in Taub–NUT solutions with flat horizons, we study the phase structure of the dyonic Taub–NUT solutions with Lorentzian signature. We follow the treatment proposed in arXiv:2206.09124 and arXiv:2304.06705 to introduce the NUT parameter as a conserved charge to the first law. Although the calculated quantities satisfy the first law, we have found a larger class of charges that satisfy the first law and depend on some arbitrary parameter <span>(alpha )</span>. We choose to describe phase diagrams as NUT parameter-temperature graphs to show borders of big and small black brane phases. We study the phase structure of these spaces in a mixed ensemble (i.e., fixed electric potential, NUT charge, and magnetic charge), which we classify into different cases depending on the value of <span>(alpha )</span> and the other quantities. Most of these cases not only have first-order phase transitions, but also, end at critical points. Some of these cases include up to four critical points, depending on the value of <span>(alpha )</span> and the other quantities.\u0000\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"85 12","pages":""},"PeriodicalIF":4.8,"publicationDate":"2025-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-15144-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145730250","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-12-12DOI: 10.1140/epjc/s10052-025-15126-5
Stefan Hohenegger
In recent works (M.D. Piano, S. Hohenegger, F. Sannino, Quantum black hole physics from the event horizon. Phys. Rev. D 109(2), 024045 (2024). https://doi.org/10.1103/PhysRevD.109.024045. arXiv:2307.13489 [gr-qc], M.D. Piano, S. Hohenegger, F. Sannino, Effective metric descriptions of quantum black holes. Eur. Phys. J. C 84(12), 1273 (2024). https://doi.org/10.1140/epjc/s10052-024-13609-5. arXiv:2403.12679 [gr-qc]), a framework has been developed to describe (quantum) deformed, spherically symmetric and static black holes in four dimensions. The key idea of this so-called Effective Metric Description (EMD) is to parametrise deformations of the classical Schwarzschild geometry by two functions that depend on a physical quantity and which are calculated in a self-consistent way as series expansions in the vicinity of the horizon. In this work we further strengthen this framework by first demonstrating that the corresponding series expansion coefficients can be completely and uniquely determined from measurements that are accessible for observers outside of the event horizon: we propose a Gedankenexperiment, consisting of probes following a free-falling trajectory that send signals to a stationary observer and show how an EMD can be constructed from suitable telemetric data. Furthermore, by linking the expansion coefficients of the EMD to the invariant eigenvalues of the energy momentum tensor, we determine a system of physical fields that provides an effective Einstein equation for the deformed black hole geometry. In the case of a simplified geometry and assuming that the metric deformations are small, we can write the leading order of the physical fields in a closed form in the metric functions. We illustrate our results at the example of the Hayward space-time.
在最近的著作中(M.D. Piano, S. Hohenegger, F. Sannino),从事件视界的量子黑洞物理学。理论物理。Rev. D 109(2), 024045(2024)。https://doi.org/10.1103/PhysRevD.109.024045。王晓东,王晓东,王晓东,等。量子黑洞的有效度量描述[j] .量子力学学报,2016,37(4):444 - 444。欧元。理论物理。文献84(12),1273(2024)。https://doi.org/10.1140/epjc/s10052 - 024 - 13609 - 5。arXiv:2403.12679 [gr-qc]),已经开发了一个框架来描述(量子)变形,球对称和静态的四维黑洞。这种所谓的有效度量描述(EMD)的关键思想是通过两个函数来参数化经典史瓦西几何的变形,这两个函数依赖于一个物理量,并且以自洽的方式作为视界附近的级数展开来计算。在这项工作中,我们进一步加强了这一框架,首先证明了相应的系列展开系数可以完全和唯一地从事件视界外的观测者可以获得的测量中确定:我们提出了一个格丹肯实验,由遵循自由落体轨迹的探测器组成,向静止的观测者发送信号,并展示了如何从合适的遥测数据构建EMD。此外,通过将EMD的膨胀系数与能量动量张量的不变特征值联系起来,我们确定了一个物理场系统,该系统为变形黑洞几何提供了有效的爱因斯坦方程。在简化几何的情况下,假设度规变形很小,我们可以在度规函数中以封闭形式写出物理场的首阶。我们以海沃德时空为例来说明我们的结果。
{"title":"Probing effective black hole deformations","authors":"Stefan Hohenegger","doi":"10.1140/epjc/s10052-025-15126-5","DOIUrl":"10.1140/epjc/s10052-025-15126-5","url":null,"abstract":"<div><p>In recent works (M.D. Piano, S. Hohenegger, F. Sannino, Quantum black hole physics from the event horizon. Phys. Rev. D <b>109</b>(2), 024045 (2024). https://doi.org/10.1103/PhysRevD.109.024045. arXiv:2307.13489 [gr-qc], M.D. Piano, S. Hohenegger, F. Sannino, Effective metric descriptions of quantum black holes. Eur. Phys. J. C <b>84</b>(12), 1273 (2024). https://doi.org/10.1140/epjc/s10052-024-13609-5. arXiv:2403.12679 [gr-qc]), a framework has been developed to describe (quantum) deformed, spherically symmetric and static black holes in four dimensions. The key idea of this so-called <i>Effective Metric Description</i> (EMD) is to parametrise deformations of the classical Schwarzschild geometry by two functions that depend on a physical quantity and which are calculated in a self-consistent way as series expansions in the vicinity of the horizon. In this work we further strengthen this framework by first demonstrating that the corresponding series expansion coefficients can be completely and uniquely determined from measurements that are accessible for observers outside of the event horizon: we propose a Gedankenexperiment, consisting of probes following a free-falling trajectory that send signals to a stationary observer and show how an EMD can be constructed from suitable telemetric data. Furthermore, by linking the expansion coefficients of the EMD to the invariant eigenvalues of the energy momentum tensor, we determine a system of physical fields that provides an effective Einstein equation for the deformed black hole geometry. In the case of a simplified geometry and assuming that the metric deformations are small, we can write the leading order of the physical fields in a closed form in the metric functions. We illustrate our results at the example of the Hayward space-time.</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"85 12","pages":""},"PeriodicalIF":4.8,"publicationDate":"2025-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-15126-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145730332","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-12-12DOI: 10.1140/epjc/s10052-025-14836-0
T2K Collaboration
Bayesian analysis results require a choice of prior distribution. In long-baseline neutrino oscillation physics, the usual parameterisation of the mixing matrix induces a prior that privileges certain neutrino mass and flavour state symmetries. Here we study the effect of privileging alternate symmetries on the results of the T2K experiment. We find that constraints on the level of CP violation (as given by the Jarlskog invariant) are robust under the choices of prior considered in the analysis. On the other hand, the degree of octant preference for the atmospheric angle depends on which symmetry has been privileged.
{"title":"Testing T2K’s Bayesian constraints with priors in alternate parameterisations","authors":"T2K Collaboration","doi":"10.1140/epjc/s10052-025-14836-0","DOIUrl":"10.1140/epjc/s10052-025-14836-0","url":null,"abstract":"<div><p>Bayesian analysis results require a choice of prior distribution. In long-baseline neutrino oscillation physics, the usual parameterisation of the mixing matrix induces a prior that privileges certain neutrino mass and flavour state symmetries. Here we study the effect of privileging alternate symmetries on the results of the T2K experiment. We find that constraints on the level of CP violation (as given by the Jarlskog invariant) are robust under the choices of prior considered in the analysis. On the other hand, the degree of octant preference for the atmospheric angle depends on which symmetry has been privileged.\u0000\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"85 12","pages":""},"PeriodicalIF":4.8,"publicationDate":"2025-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-14836-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145730331","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-12-12DOI: 10.1140/epjc/s10052-025-15152-3
B. Eslam Panah, N. Heidari, M. Soleimani
Motivated by integrating the dilaton field (as a UV correction) with dRGT-like massive gravity (as an IR correction) into Einstein gravity, we investigate the thermodynamic and optical properties of black holes within this gravitational framework. We begin by reviewing the black hole solutions in Maxwell–dilaton–dRGT-like massive gravity, followed by an analysis of how various parameters influence on the asymptotical behavior of the spacetime and the event horizon of these black holes. In the subsequent section, we examine the conserved and thermodynamic quantities associated with these black holes, paying particular attention to the effects of parameters like (beta ,)(alpha ,) and the massive parameters ((eta _{1}) and (eta _{2})) on their local stability by simultaneously evaluating the heat capacity and temperature. We also adopt an alternative method to study phase transitions using geometrothermodynamics. Furthermore, we explore how the parameters of Maxwell–dilaton–dRGT-like massive gravity impacts the optical characteristics and radiative behavior of black holes. In particular, we analyze the effects of the dilaton coupling constant ((alpha ),) charge (q), the massive gravity parameter ((eta _1),) and the graviton mass ((m_g)) on the radius of the photon sphere and the resulting black hole shadow. Moreover, the theoretical shadow radius is compared to the observational data from (Sgr A^*.) Additionally, we investigate the energy emission rate of these black holes, revealing that these parameters substantially influence the emission peak.
{"title":"Some perspective of thermodynamical and optical properties of black holes in Maxwell–dilaton–dRGT-like massive gravity","authors":"B. Eslam Panah, N. Heidari, M. Soleimani","doi":"10.1140/epjc/s10052-025-15152-3","DOIUrl":"10.1140/epjc/s10052-025-15152-3","url":null,"abstract":"<div><p>Motivated by integrating the dilaton field (as a UV correction) with dRGT-like massive gravity (as an IR correction) into Einstein gravity, we investigate the thermodynamic and optical properties of black holes within this gravitational framework. We begin by reviewing the black hole solutions in Maxwell–dilaton–dRGT-like massive gravity, followed by an analysis of how various parameters influence on the asymptotical behavior of the spacetime and the event horizon of these black holes. In the subsequent section, we examine the conserved and thermodynamic quantities associated with these black holes, paying particular attention to the effects of parameters like <span>(beta ,)</span> <span>(alpha ,)</span> and the massive parameters <span>((eta _{1})</span> and <span>(eta _{2}))</span> on their local stability by simultaneously evaluating the heat capacity and temperature. We also adopt an alternative method to study phase transitions using geometrothermodynamics. Furthermore, we explore how the parameters of Maxwell–dilaton–dRGT-like massive gravity impacts the optical characteristics and radiative behavior of black holes. In particular, we analyze the effects of the dilaton coupling constant <span>((alpha ),)</span> charge (<i>q</i>), the massive gravity parameter <span>((eta _1),)</span> and the graviton mass <span>((m_g))</span> on the radius of the photon sphere and the resulting black hole shadow. Moreover, the theoretical shadow radius is compared to the observational data from <span>(Sgr A^*.)</span> Additionally, we investigate the energy emission rate of these black holes, revealing that these parameters substantially influence the emission peak.\u0000\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"85 12","pages":""},"PeriodicalIF":4.8,"publicationDate":"2025-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-15152-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145730333","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-12-11DOI: 10.1140/epjc/s10052-025-14802-w
ALICE Collaboration
This paper presents the measurement of the isolated prompt photon inclusive production cross section in pp and p–Pb collisions by the ALICE Collaboration at the LHC. The measurement is performed in p–Pb collisions at centre-of-mass energies per nucleon pair of (sqrt{s_{text {NN}}}={5.02},textrm{TeV}) and 8.16 TeV, as well as in pp collisions at (sqrt{s}={5.02},textrm{TeV}) and 8 TeV. The cross section is obtained at midrapidity ((|y|<0.7)) using a charged-track based isolation momentum (p_textrm{T}^{text {iso,~ch}}<{1.5},textrm{GeV}/c) in a cone with radius (R=0.4). The data for both collision systems are well reproduced by perturbative QCD (pQCD) calculations at next-to-leading order (NLO) using recent parton distribution functions for free (PDF) and bound (nPDF) nucleons. Furthermore, the nuclear modification factor (R_{text {pA}}) for both collision energies is consistent with unity for (p_{textrm{T}})(>{20},textrm{GeV}/c). However, deviations from unity ((R_textrm{pA}<1)) of up to 20% are observed for (p_{textrm{T}})(<{20},textrm{GeV}/c) with limited significance, indicating the possible presence of nuclear effects in the initial state of the collision. The suppression increases with decreasing (p_{textrm{T}}) with a significance of (2.3upsigma ) for a non-zero slope and yields (R_{textrm{pA}}<1) with a significance of (1.8upsigma ) at (sqrt{s_{textrm{NN}}}={8.16},textrm{TeV}) for (p_{textrm{T}})(<{20},textrm{GeV}/c). In addition, a significance of (1.1upsigma ) is observed for (R_{textrm{pA}}<1) at the lower collision energy (sqrt{s_{textrm{NN}}}={5.02},textrm{TeV}) for (p_{textrm{T}} < {14},textrm{GeV}/c). The magnitude and shape of the suppression are consistent with pQCD predictions at NLO using nPDFs that incorporate nuclear shadowing effects in the Pb nucleus.
本文介绍了在大型强子对撞机上ALICE合作对pp和p-Pb碰撞中孤立提示光子产生截面的测量。在质量中心能量为(sqrt{s_{text {NN}}}={5.02},textrm{TeV})和8.16 TeV的p-Pb碰撞以及(sqrt{s}={5.02},textrm{TeV})和8 TeV的pp碰撞中进行了测量。在中速((|y|<0.7))下,在半径为(R=0.4)的圆锥体中使用基于电荷轨道的隔离动量(p_textrm{T}^{text {iso,~ch}}<{1.5},textrm{GeV}/c)获得截面。这两个碰撞系统的数据都可以用最近的自由核子(PDF)和束缚核子(nPDF)的部分分布函数在次领先阶(NLO)上进行微扰QCD (pQCD)计算。此外,两种碰撞能量的核修饰因子(R_{text {pA}})与(p_{textrm{T}})(>{20},textrm{GeV}/c)的一致。然而,与统一的偏差((R_textrm{pA}<1))高达20% are observed for (p_{textrm{T}}) (<{20},textrm{GeV}/c) with limited significance, indicating the possible presence of nuclear effects in the initial state of the collision. The suppression increases with decreasing (p_{textrm{T}}) with a significance of (2.3upsigma ) for a non-zero slope and yields (R_{textrm{pA}}<1) with a significance of (1.8upsigma ) at (sqrt{s_{textrm{NN}}}={8.16},textrm{TeV}) for (p_{textrm{T}}) (<{20},textrm{GeV}/c). In addition, a significance of (1.1upsigma ) is observed for (R_{textrm{pA}}<1) at the lower collision energy (sqrt{s_{textrm{NN}}}={5.02},textrm{TeV}) for (p_{textrm{T}} < {14},textrm{GeV}/c). The magnitude and shape of the suppression are consistent with pQCD predictions at NLO using nPDFs that incorporate nuclear shadowing effects in the Pb nucleus.
{"title":"Measurement of isolated prompt photon production in pp and p–Pb collisions at the LHC","authors":"ALICE Collaboration","doi":"10.1140/epjc/s10052-025-14802-w","DOIUrl":"10.1140/epjc/s10052-025-14802-w","url":null,"abstract":"<div><p>This paper presents the measurement of the isolated prompt photon inclusive production cross section in pp and p–Pb collisions by the ALICE Collaboration at the LHC. The measurement is performed in p–Pb collisions at centre-of-mass energies per nucleon pair of <span>(sqrt{s_{text {NN}}}={5.02},textrm{TeV})</span> and 8.16 TeV, as well as in pp collisions at <span>(sqrt{s}={5.02},textrm{TeV})</span> and 8 TeV. The cross section is obtained at midrapidity <span>((|y|<0.7))</span> using a charged-track based isolation momentum <span>(p_textrm{T}^{text {iso,~ch}}<{1.5},textrm{GeV}/c)</span> in a cone with radius <span>(R=0.4)</span>. The data for both collision systems are well reproduced by perturbative QCD (pQCD) calculations at next-to-leading order (NLO) using recent parton distribution functions for free (PDF) and bound (nPDF) nucleons. Furthermore, the nuclear modification factor <span>(R_{text {pA}})</span> for both collision energies is consistent with unity for <span>(p_{textrm{T}})</span> <span>(>{20},textrm{GeV}/c)</span>. However, deviations from unity (<span>(R_textrm{pA}<1)</span>) of up to 20% are observed for <span>(p_{textrm{T}})</span> <span>(<{20},textrm{GeV}/c)</span> with limited significance, indicating the possible presence of nuclear effects in the initial state of the collision. The suppression increases with decreasing <span>(p_{textrm{T}})</span> with a significance of <span>(2.3upsigma )</span> for a non-zero slope and yields <span>(R_{textrm{pA}}<1)</span> with a significance of <span>(1.8upsigma )</span> at <span>(sqrt{s_{textrm{NN}}}={8.16},textrm{TeV})</span> for <span>(p_{textrm{T}})</span> <span>(<{20},textrm{GeV}/c)</span>. In addition, a significance of <span>(1.1upsigma )</span> is observed for <span>(R_{textrm{pA}}<1)</span> at the lower collision energy <span>(sqrt{s_{textrm{NN}}}={5.02},textrm{TeV})</span> for <span>(p_{textrm{T}} < {14},textrm{GeV}/c)</span>. The magnitude and shape of the suppression are consistent with pQCD predictions at NLO using nPDFs that incorporate nuclear shadowing effects in the Pb nucleus. \u0000\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"85 12","pages":""},"PeriodicalIF":4.8,"publicationDate":"2025-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-14802-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145729707","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We systematically investigated the limited inverse discrete Fourier transform of the quasi distributions from the perspective of inverse problem theory. This transformation satisfies two of Hadamard’s well-posedness criteria, existence and uniqueness of solutions, but critically violates the stability requirement, exhibiting exponential sensitivity to input perturbations. To address this instability, we implemented Tikhonov regularization with L-curve optimized parameters, demonstrating its validity for controlled toy model studies and real lattice QCD results of quasi distribution amplitudes. The reconstructed solutions is consistent with the physics-driven (lambda )-extrapolation method. Our analysis demonstrates that the inverse Fourier problem within the large-momentum effective theory (LaMET) framework belongs to a class of moderately tractable ill-posed problems, characterized by distinct spectral properties that differ from those of more severely unstable inverse problems encountered in other lattice QCD applications. Tikhonov regularization establishes a rigorous mathematical framework for addressing the underlying instability, enabling first-principles uncertainty quantification without relying on ansatz-based assumptions.
{"title":"Ill-posedness in limited discrete Fourier inversion and regularization for quasi distributions in LaMET","authors":"Ao-Sheng Xiong, Jun Hua, Yu-Fei Ling, Ting Wei, Fu-Sheng Yu, Qi-An Zhang, Yong Zheng","doi":"10.1140/epjc/s10052-025-15130-9","DOIUrl":"10.1140/epjc/s10052-025-15130-9","url":null,"abstract":"<div><p>We systematically investigated the limited inverse discrete Fourier transform of the quasi distributions from the perspective of inverse problem theory. This transformation satisfies two of Hadamard’s well-posedness criteria, existence and uniqueness of solutions, but critically violates the stability requirement, exhibiting exponential sensitivity to input perturbations. To address this instability, we implemented Tikhonov regularization with L-curve optimized parameters, demonstrating its validity for controlled toy model studies and real lattice QCD results of quasi distribution amplitudes. The reconstructed solutions is consistent with the physics-driven <span>(lambda )</span>-extrapolation method. Our analysis demonstrates that the inverse Fourier problem within the large-momentum effective theory (LaMET) framework belongs to a class of moderately tractable ill-posed problems, characterized by distinct spectral properties that differ from those of more severely unstable inverse problems encountered in other lattice QCD applications. Tikhonov regularization establishes a rigorous mathematical framework for addressing the underlying instability, enabling first-principles uncertainty quantification without relying on ansatz-based assumptions.\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"85 12","pages":""},"PeriodicalIF":4.8,"publicationDate":"2025-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-15130-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145729969","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-12-11DOI: 10.1140/epjc/s10052-025-15148-z
Guo-Yu Huang, Xue-Mei Deng
As an extension of the previous work on Solar System tests of an effective loop quantum black hole, and an attempt to find more stringent constraints on the loop quantum effect, we study its effects on physical experiments and astronomical observations conducted in the Solar System. By considering light deflection, time delay, and Cassini tracking experiments at the second post-Newtonian (2PN) order for light propagation, we find that the parametrized post-Newtonian (PPN) parameter (gamma ) in the black hole strictly equals 1. Using supplementary advances for Mercury taken from the EPM2011 and INPOP10a ephemerides, we derive much improved bounds on the black hole, which strengthen constraints on the loop quantum effect by ten times. Since such quantum effects are more likely to be observable in strong-field regimes, we estimate a preliminary bound on the loop quantum effect in these regimes based on results from EHT observations, discuss future prospects of other tests (e.g., extreme mass-ratio inspiral systems), and compare these strong-field constraints with those from the Solar System. It is worth noting that primordial black holes might provide a promising way to identify the loop quantum effect. Solar system experiments are probably not applicable for probing the quantum effect signal.
{"title":"Solar System tests of loop quantum effects: improved bound and comparison with strong-field constraints","authors":"Guo-Yu Huang, Xue-Mei Deng","doi":"10.1140/epjc/s10052-025-15148-z","DOIUrl":"10.1140/epjc/s10052-025-15148-z","url":null,"abstract":"<div><p>As an extension of the previous work on Solar System tests of an effective loop quantum black hole, and an attempt to find more stringent constraints on the loop quantum effect, we study its effects on physical experiments and astronomical observations conducted in the Solar System. By considering light deflection, time delay, and Cassini tracking experiments at the second post-Newtonian (2PN) order for light propagation, we find that the parametrized post-Newtonian (PPN) parameter <span>(gamma )</span> in the black hole strictly equals 1. Using supplementary advances for Mercury taken from the EPM2011 and INPOP10a ephemerides, we derive much improved bounds on the black hole, which strengthen constraints on the loop quantum effect by ten times. Since such quantum effects are more likely to be observable in strong-field regimes, we estimate a preliminary bound on the loop quantum effect in these regimes based on results from EHT observations, discuss future prospects of other tests (e.g., extreme mass-ratio inspiral systems), and compare these strong-field constraints with those from the Solar System. It is worth noting that primordial black holes might provide a promising way to identify the loop quantum effect. Solar system experiments are probably not applicable for probing the quantum effect signal.\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"85 12","pages":""},"PeriodicalIF":4.8,"publicationDate":"2025-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-15148-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145729968","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-12-11DOI: 10.1140/epjc/s10052-025-15131-8
Junxian Zhou, Shun Wang, Tao Luo, Xiaorong Zhou
We report a feasibility study of the hyperon semileptonic decay (varLambda rightarrow pe^{-} {bar{nu }}_{e}) by using a fast simulation software package at STCF. With an anticipated integrated luminosity of 3.4 trillion (J/psi ) per year at a center-of-mass energy of 3.097 GeV, the statistical sensitivity of the branching fraction is determined to be 0.15%. The statistical sensitivities of form factors (g_{av}) and (g_w) are determined to be 0.4% and 2.15%, respectively. The projected sensitivity of (|V_{us}|) is obtained by combining this result with (g_1(0)) from Lattice QCD, to be 0.9%, including the systematic uncertainty from the LQCD input and the statistical uncertainties of input branching fraction and form factors. The precise measurement to be obtained at STCF will provide a rigorous test of the Standard Model.
我们报告了利用STCF的快速模拟软件包对超子半光子衰变(varLambda rightarrow pe^{-} {bar{nu }}_{e})的可行性研究。在质量中心能量为3.097 GeV的情况下,预计每年的综合光度为3.4万亿(J/psi ),分支分数的统计灵敏度确定为0.15%. The statistical sensitivities of form factors (g_{av}) and (g_w) are determined to be 0.4% and 2.15%, respectively. The projected sensitivity of (|V_{us}|) is obtained by combining this result with (g_1(0)) from Lattice QCD, to be 0.9%, including the systematic uncertainty from the LQCD input and the statistical uncertainties of input branching fraction and form factors. The precise measurement to be obtained at STCF will provide a rigorous test of the Standard Model.
{"title":"Prospects of (|V_{us}|) and axial vector form factors in (varLambda rightarrow pe^{-}{bar{nu }}_{e}) decay at STCF","authors":"Junxian Zhou, Shun Wang, Tao Luo, Xiaorong Zhou","doi":"10.1140/epjc/s10052-025-15131-8","DOIUrl":"10.1140/epjc/s10052-025-15131-8","url":null,"abstract":"<div><p>We report a feasibility study of the hyperon semileptonic decay <span>(varLambda rightarrow pe^{-} {bar{nu }}_{e})</span> by using a fast simulation software package at STCF. With an anticipated integrated luminosity of 3.4 trillion <span>(J/psi )</span> per year at a center-of-mass energy of 3.097 GeV, the statistical sensitivity of the branching fraction is determined to be 0.15%. The statistical sensitivities of form factors <span>(g_{av})</span> and <span>(g_w)</span> are determined to be 0.4% and 2.15%, respectively. The projected sensitivity of <span>(|V_{us}|)</span> is obtained by combining this result with <span>(g_1(0))</span> from Lattice QCD, to be 0.9%, including the systematic uncertainty from the LQCD input and the statistical uncertainties of input branching fraction and form factors. The precise measurement to be obtained at STCF will provide a rigorous test of the Standard Model.\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"85 12","pages":""},"PeriodicalIF":4.8,"publicationDate":"2025-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-15131-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145729708","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}