In this work, we employ the Tannaka-Krein reconstruction to compute the quantum double 𝒟(𝒢) of a finite 2-group 𝒢 as a Hopf monoidal category. We also construct a 3+1D lattice model from the Dijkgraaf-Witten TQFT functor for the 2-group 𝒢, generalizing Kitaev’s 2+1D quantum double model. Notably, the string-like local operators in this lattice model are shown to form 𝒟(𝒢). Specializing to 𝒢 = ℤ2, we demonstrate that the topological defects in the 3+1D toric code model are modules over 𝒟(ℤ2).
{"title":"Finite 2-group gauge theory and its 3+1D lattice realization","authors":"Mo Huang","doi":"10.1007/JHEP03(2026)133","DOIUrl":"10.1007/JHEP03(2026)133","url":null,"abstract":"<p>In this work, we employ the Tannaka-Krein reconstruction to compute the quantum double 𝒟(𝒢) of a finite 2-group 𝒢 as a Hopf monoidal category. We also construct a 3+1D lattice model from the Dijkgraaf-Witten TQFT functor for the 2-group 𝒢, generalizing Kitaev’s 2+1D quantum double model. Notably, the string-like local operators in this lattice model are shown to form 𝒟(𝒢). Specializing to 𝒢 = ℤ<sub>2</sub>, we demonstrate that the topological defects in the 3+1D toric code model are modules over 𝒟(ℤ<sub>2</sub>).</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 3","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP03(2026)133.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147441308","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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}
The QCD axion is investigated within the minimal supersymmetric SO(10) grand unified theory, where the Yukawa sector involves Higgs multiplets 10 and ( overline{textbf{126}} ). The relative phase between the VEVs of (10,1,3) ⊂ ( overline{textbf{126}} ) and (( overline{textbf{10}} ),1,3) ⊂ 126 under SU(4)C × SU(2)L × SU(2)R is identified with the axion. The axion is dominantly the relative phase between ∆R and ( {overline{Delta }}_R ), with a small 10-Higgs component due to the VEV hierarchy. The Peccei-Quinn and B − L symmetry breaking scales coincide through ( left|leftlangle {Delta}_Rrightrangle right|=left|leftlangle {overline{Delta}}_Rrightrangle right| ). The scalar partner of the lightest right-handed neutrino plays the role of the inflaton, realizing hybrid inflation consistent with the observed CMB density fluctuations. After inflation, both fields acquire VEVs, and the domain-wall problem is resolved through the Lazarides-Shafi mechanism, which naturally restricts the model to three generations.
{"title":"Axion in the minimal SO(10) GUT","authors":"Takeshi Fukuyama","doi":"10.1007/JHEP03(2026)128","DOIUrl":"10.1007/JHEP03(2026)128","url":null,"abstract":"<p>The QCD axion is investigated within the minimal supersymmetric SO(10) grand unified theory, where the Yukawa sector involves Higgs multiplets <b>10</b> and <span>( overline{textbf{126}} )</span>. The relative phase between the VEVs of (<b>10</b><i>,</i> <b>1</b><i>,</i> <b>3</b>) ⊂ <span>( overline{textbf{126}} )</span> and (<span>( overline{textbf{10}} )</span><i>,</i> <b>1</b><i>,</i> <b>3</b>) ⊂ <b>126</b> under SU(4)<sub><i>C</i></sub> × SU(2)<sub><i>L</i></sub> × SU(2)<sub><i>R</i></sub> is identified with the axion. The axion is dominantly the relative phase between ∆<sub><i>R</i></sub> and <span>( {overline{Delta }}_R )</span>, with a small <b>10</b>-Higgs component due to the VEV hierarchy. The Peccei-Quinn and <i>B</i> − <i>L</i> symmetry breaking scales coincide through <span>( left|leftlangle {Delta}_Rrightrangle right|=left|leftlangle {overline{Delta}}_Rrightrangle right| )</span>. The scalar partner of the lightest right-handed neutrino plays the role of the inflaton, realizing hybrid inflation consistent with the observed CMB density fluctuations. After inflation, both fields acquire VEVs, and the domain-wall problem is resolved through the Lazarides-Shafi mechanism, which naturally restricts the model to three generations.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 3","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP03(2026)128.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147441627","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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 develop a twistor-space framework to compute boundary correlators via a boundary limit of nested Penrose transforms in (A)dS4. Starting from correlators of (anti-)self-dual bulk fields, the boundary limit reproduces the correlators of the dual conserved currents; we demonstrate this explicitly for two- and three-point functions. The two-point correlator is rendered finite by working in Euclidean signature. At three points, we obtain compact rational twistor-space representatives obeying a double-copy relation, thereby clarifying the twistor-space origin of the results in https://arxiv.org/abs/2408.02727. We further extend the analysis to non-conserved currents with integer conformal dimension, dual to massive bulk fields, as well as to the free scalar.
{"title":"Spinning boundary correlators from (A)dS4 twistors","authors":"Mariana Carrillo González, Théo Keseman","doi":"10.1007/JHEP03(2026)131","DOIUrl":"10.1007/JHEP03(2026)131","url":null,"abstract":"<p>We develop a twistor-space framework to compute boundary correlators via a boundary limit of nested Penrose transforms in (A)dS<sub>4</sub>. Starting from correlators of (anti-)self-dual bulk fields, the boundary limit reproduces the correlators of the dual conserved currents; we demonstrate this explicitly for two- and three-point functions. The two-point correlator is rendered finite by working in Euclidean signature. At three points, we obtain compact rational twistor-space representatives obeying a double-copy relation, thereby clarifying the twistor-space origin of the results in https://arxiv.org/abs/2408.02727. We further extend the analysis to non-conserved currents with integer conformal dimension, dual to massive bulk fields, as well as to the free scalar.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 3","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP03(2026)131.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147441894","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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}
Elliot Fox, Aude Gehrmann-De Ridder, Thomas Gehrmann, Nigel Glover, Matteo Marcoli, Christian T. Preuss
We present a calculation of the thrust distribution in Higgs decays to quarks and gluons, ( Hto boverline{b} ), ( Hto coverline{c} ), and H → gg, including the resummation of large logarithmic corrections that arise in the two-particle limit at next-to-next-to-leading logarithmic (NNLL) accuracy, and match it to fixed-order results for three-particle decays at next-to-next-to-leading order (NNLO) in the strong coupling. The resummation is performed analytically within the Ares framework and combined with the fixed-order results using the logR matching technique. The fixed-order calculation is carried out numerically with the NNLOjet parton-level event generator, using the antenna subtraction method. We perform detailed cross-validation in the two-particle region, demonstrating that the expansion of the NNLL resummed result correctly reproduces the logarithmic structure of the fixed-order calculation to ( mathcal{O}left({alpha}_{textrm{s}}^3right) ), up to a predictable N3LL term at ( mathcal{O}left({alpha}_{textrm{s}}^3Lright) ). In addition to providing the first NNLO+NNLL accurate predictions for the thrust distribution in Higgs decays to quarks and gluons, we analytically extract the ( mathcal{O}left({alpha}_{textrm{s}}^2right) ) hard-virtual correction c2 and the ( {alpha}_{textrm{s}}^3L ) term G31 in both the ( Hto qoverline{q} ) (q = b, c) and H → gg decay channels.
{"title":"The thrust distribution at NNLO+NNLL in Higgs decays to quarks and gluons","authors":"Elliot Fox, Aude Gehrmann-De Ridder, Thomas Gehrmann, Nigel Glover, Matteo Marcoli, Christian T. Preuss","doi":"10.1007/JHEP03(2026)139","DOIUrl":"10.1007/JHEP03(2026)139","url":null,"abstract":"<p>We present a calculation of the thrust distribution in Higgs decays to quarks and gluons, <span>( Hto boverline{b} )</span>, <span>( Hto coverline{c} )</span>, and <i>H</i> → <i>gg</i>, including the resummation of large logarithmic corrections that arise in the two-particle limit at next-to-next-to-leading logarithmic (NNLL) accuracy, and match it to fixed-order results for three-particle decays at next-to-next-to-leading order (NNLO) in the strong coupling. The resummation is performed analytically within the A<span>res</span> framework and combined with the fixed-order results using the logR matching technique. The fixed-order calculation is carried out numerically with the NNLO<span>jet</span> parton-level event generator, using the antenna subtraction method. We perform detailed cross-validation in the two-particle region, demonstrating that the expansion of the NNLL resummed result correctly reproduces the logarithmic structure of the fixed-order calculation to <span>( mathcal{O}left({alpha}_{textrm{s}}^3right) )</span>, up to a predictable N<sup>3</sup>LL term at <span>( mathcal{O}left({alpha}_{textrm{s}}^3Lright) )</span>. In addition to providing the first NNLO+NNLL accurate predictions for the thrust distribution in Higgs decays to quarks and gluons, we analytically extract the <span>( mathcal{O}left({alpha}_{textrm{s}}^2right) )</span> hard-virtual correction <i>c</i><sub>2</sub> and the <span>( {alpha}_{textrm{s}}^3L )</span> term <i>G</i><sub>31</sub> in both the <span>( Hto qoverline{q} )</span> (<i>q</i> = <i>b</i>, <i>c</i>) and <i>H → gg</i> decay channels.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 3","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP03(2026)139.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147441896","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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 study fully BPS and a broad class of half-BPS stationary configurations of four-dimensional Euclidean ( mathcal{N}=2 ) supergravity with higher-derivative interactions. Working within the off-shell conformal supergravity framework of de Wit and Reys (arXiv:1706.04973), we analyse the complete set of Killing spinor equations and obtain the corresponding algebraic and differential constraints. We further derive the Euclidean attractor equations and evaluate the Wald entropy for the fully BPS AdS2 × S2 background. For half-BPS stationary configurations, we obtain the generalized stabilization equations expressing all fields in terms of harmonic functions on three-dimensional flat base space, extending the Lorentzian analysis of Cardoso et al. (hep-th/0009234) to the Euclidean signature. Our results provide a framework for studying supersymmetric saddles and computing the gravitational indices entirely within Euclidean higher-derivative supergravity, without recourse to analytic continuation.
{"title":"BPS solutions of 4d Euclidean ( mathcal{N}=2 ) supergravity with higher derivative interactions","authors":"Soumya Adhikari, Abhinava Bhattacharjee, Amitabh Virmani","doi":"10.1007/JHEP03(2026)136","DOIUrl":"10.1007/JHEP03(2026)136","url":null,"abstract":"<p>We study fully BPS and a broad class of half-BPS stationary configurations of four-dimensional Euclidean <span>( mathcal{N}=2 )</span> supergravity with higher-derivative interactions. Working within the off-shell conformal supergravity framework of de Wit and Reys (arXiv:1706.04973), we analyse the complete set of Killing spinor equations and obtain the corresponding algebraic and differential constraints. We further derive the Euclidean attractor equations and evaluate the Wald entropy for the fully BPS AdS<sub>2</sub> × <i>S</i><sup>2</sup> background. For half-BPS stationary configurations, we obtain the generalized stabilization equations expressing all fields in terms of harmonic functions on three-dimensional flat base space, extending the Lorentzian analysis of Cardoso et al. (hep-th/0009234) to the Euclidean signature. Our results provide a framework for studying supersymmetric saddles and computing the gravitational indices entirely within Euclidean higher-derivative supergravity, without recourse to analytic continuation.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 3","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP03(2026)136.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147441883","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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}
Sung-Soo Kim, Xiaobin Li, Futoshi Yagi, Rui-Dong Zhu
We propose a novel topological vertex formalism for 5d ( mathcal{N}=1 ) SU(N) gauge theory with a hypermultiplet in the symmetric tensor representation, whose Type IIB brane construction involves an NS5-brane attached to an O7+-plane. Inspired by the identification O7+ ∼ ℤ2 + 4D7, we introduce two new types of vertices: the ℤ2-vertex, which implements the ℤ2 orbifold action, and the FD-vertex, which encodes the monodromy cut induced by the O7+-plane. This formalism generalizes the framework presented in JHEP04 (2025) 182 and establishes a systematic method for computing partition functions for 5-brane configurations that incorporate an O7+-plane. The resulting partition functions are expressed as sums over Young diagrams, providing a powerful computational tool for studying such gauge theories.
{"title":"Topological Vertex for Symmetric matter","authors":"Sung-Soo Kim, Xiaobin Li, Futoshi Yagi, Rui-Dong Zhu","doi":"10.1007/JHEP03(2026)129","DOIUrl":"10.1007/JHEP03(2026)129","url":null,"abstract":"<p>We propose a novel topological vertex formalism for 5d <span>( mathcal{N}=1 )</span> SU(<i>N</i>) gauge theory with a hypermultiplet in the symmetric tensor representation, whose Type IIB brane construction involves an NS5-brane attached to an O7<sup>+</sup>-plane. Inspired by the identification O7<sup>+</sup> ∼ ℤ<sub>2</sub> + 4D7, we introduce two new types of vertices: the ℤ<sub>2</sub>-vertex, which implements the ℤ<sub>2</sub> orbifold action, and the FD-vertex, which encodes the monodromy cut induced by the O7<sup>+</sup>-plane. This formalism generalizes the framework presented in <i>JHEP</i> <b>04</b> (2025) 182 and establishes a systematic method for computing partition functions for 5-brane configurations that incorporate an O7<sup>+</sup>-plane. The resulting partition functions are expressed as sums over Young diagrams, providing a powerful computational tool for studying such gauge theories.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 3","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP03(2026)129.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147441882","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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 propose a field-theoretic framework for ideal hydrodynamics of charged relativistic fluids formulated in terms of a complex scalar field defined on a spacelike hypersurface comoving with the fluid. In the normal phase, the dynamics of charge-carrying fluids is constrained by the restrictive chemical shift symmetry, which locks charges to fixed positions in the comoving plane as they are transported through space by the fluid’s motion. On the other hand, in the superfluid phase, the chemical shift symmetry is relaxed to a constant shift, allowing charges to redistribute freely across the comoving hypersurface. We demonstrate that both models recover the respective nonlinear hydrodynamic equations and provide explicit expressions for the collective variables of hydrodynamics in terms of the theory’s fields. Introduced models provide a UV completion to the effective field theories of hydrodynamics constructed in terms of the Goldstone fields. Finally, we propose a relativistic fracton fluid phase as a natural interpolation between the normal and superfluid phases, in which the mobility of elementary charges is constrained by a linear shift symmetry in the comoving space.
{"title":"A complex scalar field theory for charged fluids, superfluids, and fracton fluids","authors":"Aleksander Głódkowski","doi":"10.1007/JHEP03(2026)134","DOIUrl":"10.1007/JHEP03(2026)134","url":null,"abstract":"<p>We propose a field-theoretic framework for ideal hydrodynamics of charged relativistic fluids formulated in terms of a complex scalar field defined on a spacelike hypersurface comoving with the fluid. In the normal phase, the dynamics of charge-carrying fluids is constrained by the restrictive chemical shift symmetry, which locks charges to fixed positions in the comoving plane as they are transported through space by the fluid’s motion. On the other hand, in the superfluid phase, the chemical shift symmetry is relaxed to a constant shift, allowing charges to redistribute freely across the comoving hypersurface. We demonstrate that both models recover the respective nonlinear hydrodynamic equations and provide explicit expressions for the collective variables of hydrodynamics in terms of the theory’s fields. Introduced models provide a UV completion to the effective field theories of hydrodynamics constructed in terms of the Goldstone fields. Finally, we propose a relativistic fracton fluid phase as a natural interpolation between the normal and superfluid phases, in which the mobility of elementary charges is constrained by a linear shift symmetry in the comoving space.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 3","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP03(2026)134.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147441626","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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 present a unified free field realization of the Ding-Iohara algebra at arbitrary levels, which satisfies a generalized form of the Serre relations. This realization, constructed using six free boson fields, arises from a specialized factorization of the structure function in the defining relations of the algebra. Based on this construction, we then develop intertwining operators for the Ding-Iohara algebra.
{"title":"Free field realization of the Ding-Iohara algebra at general levels","authors":"Zitao Chen, Xiang-Mao Ding","doi":"10.1007/JHEP03(2026)132","DOIUrl":"10.1007/JHEP03(2026)132","url":null,"abstract":"<p>We present a unified free field realization of the Ding-Iohara algebra at arbitrary levels, which satisfies a generalized form of the Serre relations. This realization, constructed using six free boson fields, arises from a specialized factorization of the structure function in the defining relations of the algebra. Based on this construction, we then develop intertwining operators for the Ding-Iohara algebra.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 3","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP03(2026)132.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147441748","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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}
Hajime Fukuda, Yuta Hamada, Kohei Kamada, Kyohei Mukaida, Fumio Uchida
Changes in magnetic helicity are often discussed across a variety of fields, from condensed matter physics to early universe cosmology. It is frequently stated that the helicity change is given by the integral of the gauge field strength tensor and its dual over spacetime, ∫ F ∧ F. However, this is incorrect when magnetic monopoles once existed in the spacetime. In this paper, we show the correct formula of the helicity change in such a case for the Maxwell theory with the magnetic monopoles. We also discuss what happens when we embed the Maxwell theory with magnetic monopoles into non-Abelian gauge theories. We show that a similar formula holds for the ’t Hooft-Polyakov monopole. In particular, we find the winding numbers and the zeroes of the Higgs field in the non-Abelian gauge theory play a crucial role in the helicity change. The same discussion is also applicable to the electroweak theory, and we discuss the implication of our findings to the baryon number change via the chiral anomaly in the early universe.
从凝聚态物理到早期宇宙宇宙学,许多领域都经常讨论磁螺旋度的变化。通常认为螺旋度的变化由规范场强张量及其对偶在时空上的积分∫F∧F给出。然而,当磁单极子曾经存在于时空中时,这是不正确的。本文给出了具有磁单极子的麦克斯韦理论在这种情况下螺旋度变化的正确公式。我们还讨论了将带有磁单极子的麦克斯韦理论嵌入非阿贝尔规范理论时会发生什么。我们证明了一个类似的公式适用于' t Hooft-Polyakov单极子。特别是,我们发现非阿贝尔规范理论中希格斯场的圈数和零点在螺旋度变化中起着至关重要的作用。同样的讨论也适用于电弱理论,我们讨论了我们的发现对早期宇宙中通过手性异常的重子数变化的含义。
{"title":"Magnetic helicity, magnetic monopoles, and Higgs winding","authors":"Hajime Fukuda, Yuta Hamada, Kohei Kamada, Kyohei Mukaida, Fumio Uchida","doi":"10.1007/JHEP03(2026)127","DOIUrl":"10.1007/JHEP03(2026)127","url":null,"abstract":"<p>Changes in magnetic helicity are often discussed across a variety of fields, from condensed matter physics to early universe cosmology. It is frequently stated that the helicity change is given by the integral of the gauge field strength tensor and its dual over spacetime, ∫ <i>F</i> ∧ <i>F</i>. However, this is incorrect when magnetic monopoles once existed in the spacetime. In this paper, we show the correct formula of the helicity change in such a case for the Maxwell theory with the magnetic monopoles. We also discuss what happens when we embed the Maxwell theory with magnetic monopoles into non-Abelian gauge theories. We show that a similar formula holds for the ’t Hooft-Polyakov monopole. In particular, we find the winding numbers and the zeroes of the Higgs field in the non-Abelian gauge theory play a crucial role in the helicity change. The same discussion is also applicable to the electroweak theory, and we discuss the implication of our findings to the baryon number change via the chiral anomaly in the early universe.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 3","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP03(2026)127.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147441628","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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}
The vertex detector is crucial for precision measurements of the Higgs boson at the electron-positron Higgs factory. Benchmarked with ( Hto coverline{c} ) and ( Hto soverline{s} ) measurements in the ( nu overline{nu}H ) channel, we perform an optimisation study on the inner radius and spatial resolution of the vertex detector using the Jet Origin Identification (JOI) framework, which determines the parton flavour of jets using advanced Artificial Intelligence (AI) algorithm. We observe that, compared to the reference detector configuration, halving the inner radius and spatial resolution improves the transverse and longitudinal impact parameter resolution approximately by a factor of two, while increasing the accuracy and significance of the ( Hto coverline{c}/soverline{s} ) measurement by 4% and 8%, respectively. Conversely, doubling these parameters results in comparable degradation, with variations in the inner radius being the dominant factor. Our results provide guidance for detector design and highlight promising prospects for identifying the ( Hto soverline{s} ) decay mode at future Higgs factories.
在电子-正电子希格斯工厂,顶点探测器对于精确测量希格斯玻色子至关重要。以( nu overline{nu}H )通道中的( Hto coverline{c} )和( Hto soverline{s} )测量值为基准,我们使用射流起源识别(JOI)框架对顶点检测器的内部半径和空间分辨率进行优化研究,该框架使用先进的人工智能(AI)算法确定射流的部分风味。我们观察到,与参考探测器配置相比,内半径和空间分辨率减半将横向和纵向冲击参数分辨率提高了大约2倍,同时将( Hto coverline{c}/soverline{s} )测量的精度和意义提高了4倍% and 8%, respectively. Conversely, doubling these parameters results in comparable degradation, with variations in the inner radius being the dominant factor. Our results provide guidance for detector design and highlight promising prospects for identifying the ( Hto soverline{s} ) decay mode at future Higgs factories.
{"title":"Optimisation of the vertex detector and measurement of Higgs decays to second-generation quarks at the CEPC","authors":"Jialin Li, Hao Liang, Kaili Zhang, Yifan Zhu, Jun Guo, Haijun Yang, Manqi Ruan","doi":"10.1007/JHEP03(2026)141","DOIUrl":"10.1007/JHEP03(2026)141","url":null,"abstract":"<p>The vertex detector is crucial for precision measurements of the Higgs boson at the electron-positron Higgs factory. Benchmarked with <span>( Hto coverline{c} )</span> and <span>( Hto soverline{s} )</span> measurements in the <span>( nu overline{nu}H )</span> channel, we perform an optimisation study on the inner radius and spatial resolution of the vertex detector using the Jet Origin Identification (JOI) framework, which determines the parton flavour of jets using advanced Artificial Intelligence (AI) algorithm. We observe that, compared to the reference detector configuration, halving the inner radius and spatial resolution improves the transverse and longitudinal impact parameter resolution approximately by a factor of two, while increasing the accuracy and significance of the <span>( Hto coverline{c}/soverline{s} )</span> measurement by 4% and 8%, respectively. Conversely, doubling these parameters results in comparable degradation, with variations in the inner radius being the dominant factor. Our results provide guidance for detector design and highlight promising prospects for identifying the <span>( Hto soverline{s} )</span> decay mode at future Higgs factories.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 3","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP03(2026)141.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147441895","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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}