Nuclear Physics BPub Date : 2024-10-18DOI: 10.1016/j.nuclphysb.2024.116722
V.V. Vien , H.N. Long , A.E. Cárcamo Hernández , Juan Marchant González
{"title":"Fermion masses and mixings and g − 2 muon anomaly in a Q6 flavored 2HDM","authors":"V.V. Vien , H.N. Long , A.E. Cárcamo Hernández , Juan Marchant González","doi":"10.1016/j.nuclphysb.2024.116722","DOIUrl":"10.1016/j.nuclphysb.2024.116722","url":null,"abstract":"<div><div>We propose an extended 2HDM with <span><math><msub><mrow><mi>Q</mi></mrow><mrow><mn>6</mn></mrow></msub><mo>×</mo><msub><mrow><mi>Z</mi></mrow><mrow><mn>4</mn></mrow></msub><mo>×</mo><msub><mrow><mi>Z</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> symmetry that can successfully accommodate the SM fermion mass and mixing hierarchy. The tiny masses of the active neutrinos are generated from a type-I seesaw mechanism mediated by very heavy right-handed Majorana neutrinos. The model gives a natural explanation of the charged lepton mass hierarchy. Besides that, the experimental values of the physical observables of the neutrino sector: the neutrino mass squared splittings, the leptonic mixing angles and the leptonic Dirac CP violating phase, are also successfully reproduced for both normal and inverted neutrino mass hierarchies. We find a feasible range of values for the leptonic Dirac CP phase to be in the ranges <span><math><msub><mrow><mi>δ</mi></mrow><mrow><mi>C</mi><mi>P</mi></mrow></msub><mo>∈</mo><msup><mrow><mo>(</mo><mn>305.90</mn><mo>,</mo><mn>348.70</mn><mo>)</mo></mrow><mrow><mo>∘</mo></mrow></msup></math></span> for normal ordering and <span><math><msub><mrow><mi>δ</mi></mrow><mrow><mi>C</mi><mi>P</mi></mrow></msub><mo>∈</mo><msup><mrow><mo>(</mo><mn>308.00</mn><mo>,</mo><mn>348.00</mn><mo>)</mo></mrow><mrow><mo>∘</mo></mrow></msup></math></span> for inverted ordering, which is consistent with the 3<em>σ</em> experimentally allowed limits. The sum of neutrino masses is obtained as <span><math><mo>∑</mo><msub><mrow><mi>m</mi></mrow><mrow><mi>i</mi></mrow></msub><mo>∈</mo><mo>(</mo><mn>58.03</mn><mo>,</mo><mn>60.51</mn><mo>)</mo></math></span> meV for normal ordering and <span><math><mo>∑</mo><msub><mrow><mi>m</mi></mrow><mrow><mi>i</mi></mrow></msub><mo>∈</mo><mo>(</mo><mn>98.07</mn><mo>,</mo><mn>101.40</mn><mo>)</mo></math></span> meV for inverted ordering which are well consistent with all the recent limits. In addition, the obtained ranges for the effective neutrino masses are <span><math><mo>〈</mo><msub><mrow><mi>m</mi></mrow><mrow><mi>e</mi><mi>e</mi></mrow></msub><mo>〉</mo><mo>∈</mo><mo>(</mo><mn>3.80</mn><mo>,</mo><mn>4.38</mn><mo>)</mo></math></span> meV, <span><math><msub><mrow><mi>m</mi></mrow><mrow><mi>β</mi></mrow></msub><mo>∈</mo><mo>(</mo><mn>8.53</mn><mo>,</mo><mn>9.34</mn><mo>)</mo><mspace></mspace><mtext>meV</mtext></math></span> for normal ordering and <span><math><mo>〈</mo><msub><mrow><mi>m</mi></mrow><mrow><mi>e</mi><mi>e</mi></mrow></msub><mo>〉</mo><mo>∈</mo><mo>(</mo><mn>47.85</mn><mo>,</mo><mn>49.58</mn><mo>)</mo></math></span> meV, <span><math><msub><mrow><mi>m</mi></mrow><mrow><mi>β</mi></mrow></msub><mo>∈</mo><mo>(</mo><mn>48.39</mn><mo>,</mo><mn>50.09</mn><mo>)</mo><mspace></mspace><mtext>meV</mtext></math></span> for inverted ordering which are in agreement with the recent experimental bounds. For the quark sector, the derived results are also in agreement with the recent data on the quark ma","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1008 ","pages":"Article 116722"},"PeriodicalIF":2.5,"publicationDate":"2024-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142530183","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Nuclear Physics BPub Date : 2024-10-18DOI: 10.1016/j.nuclphysb.2024.116723
Zhi-zhong Xing
{"title":"On the orthogonal matrix in the Casas-Ibarra parametrization for the Yukawa interactions of Majorana neutrinos","authors":"Zhi-zhong Xing","doi":"10.1016/j.nuclphysb.2024.116723","DOIUrl":"10.1016/j.nuclphysb.2024.116723","url":null,"abstract":"<div><div>The Casas-Ibarra (CI) parametrization of the Yukawa coupling matrix of Majorana neutrinos is generalized by considering the exact seesaw relation and including non-unitarity of the <span><math><mn>3</mn><mo>×</mo><mn>3</mn></math></span> Pontecorvo-Maki-Nakagawa-Sakata (PMNS) flavor mixing matrix. With the help of a full <span><math><mn>6</mn><mo>×</mo><mn>6</mn></math></span> Euler-like block description of the flavor structure for the seesaw mechanism, we find that the orthogonal matrix <span><math><mi>O</mi></math></span> in the CI parametrization can be expressed as <span><math><msub><mrow><mi>O</mi></mrow><mrow><mi>i</mi><mi>j</mi></mrow></msub><mo>=</mo><msqrt><mrow><msub><mrow><mi>M</mi></mrow><mrow><mi>j</mi></mrow></msub><mo>/</mo><msub><mrow><mi>m</mi></mrow><mrow><mi>i</mi></mrow></msub></mrow></msqrt><mspace></mspace><msub><mrow><mi>F</mi></mrow><mrow><mi>i</mi><mi>j</mi></mrow></msub></math></span> with <span><math><msub><mrow><mi>m</mi></mrow><mrow><mi>i</mi></mrow></msub></math></span> and <span><math><msub><mrow><mi>M</mi></mrow><mrow><mi>j</mi></mrow></msub></math></span> being the masses of light and heavy Majorana neutrinos and <span><math><msub><mrow><mi>F</mi></mrow><mrow><mi>i</mi><mi>j</mi></mrow></msub></math></span> consisting of the PMNS and active-sterile flavor mixing parameters (for <span><math><mi>i</mi><mo>,</mo><mi>j</mi><mo>=</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn></math></span>). Assuming a specific pattern of <span><math><mi>O</mi></math></span> is therefore equivalent to imposing some special conditions on the seesaw parameter space.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1008 ","pages":"Article 116723"},"PeriodicalIF":2.5,"publicationDate":"2024-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142530180","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
{"title":"A model of light pseudoscalar dark matter","authors":"Shreyashi Chakdar , Dilip Kumar Ghosh , P.Q. Hung , Najimuddin Khan , Dibyendu Nanda","doi":"10.1016/j.nuclphysb.2024.116721","DOIUrl":"10.1016/j.nuclphysb.2024.116721","url":null,"abstract":"<div><div>The EW-<span><math><msub><mrow><mi>ν</mi></mrow><mrow><mi>R</mi></mrow></msub></math></span> model was constructed in order to provide a seesaw scenario operating at the Electroweak scale <span><math><msub><mrow><mi>Λ</mi></mrow><mrow><mi>E</mi><mi>W</mi></mrow></msub><mo>∼</mo><mn>246</mn></math></span> GeV, keeping the same SM gauge structure. In this model, right-handed neutrinos are non-sterile and have masses of the order <span><math><msub><mrow><mi>Λ</mi></mrow><mrow><mi>E</mi><mi>W</mi></mrow></msub></math></span>. They can be searched for at the LHC along with heavy mirror quarks and leptons, the lightest of which has large decay lengths. The model also incorporates a rich scalar sector, consistent with various experimental constraints, predicts a ∼125 GeV scalar with the SM Higgs characteristics satisfying the current LHC Higgs boson data. The seesaw mechanism requires the existence of a complex scalar which is singlet under the SM gauge group. The imaginary part of this complex scalar denoted by <span><math><msubsup><mrow><mi>A</mi></mrow><mrow><mi>s</mi></mrow><mrow><mn>0</mn></mrow></msubsup></math></span> is proposed to be the sub-MeV dark matter candidate in this manuscript. We find that the sub-MeV scalar can serve as a viable non-thermal feebly interacting massive particle (FIMP)-DM candidate. This <span><math><msubsup><mrow><mi>A</mi></mrow><mrow><mi>s</mi></mrow><mrow><mn>0</mn></mrow></msubsup></math></span> can be a naturally light sub-MeV DM candidate due to its nature as a pseudo-Nambu-Goldstone (PNG) boson in the model. We show that the well-studied freeze out mechanism falls short in this particular framework producing DM overabundance. We identify that the freeze in mechanism produces the correct order of relic density for the sub-MeV DM candidate satisfying all applicable constraints. We also discuss the allowed parameter space arising from the current indirect search bounds for this sub-MeV DM.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1008 ","pages":"Article 116721"},"PeriodicalIF":2.5,"publicationDate":"2024-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142530182","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
{"title":"Exploring the lepton flavor violating decay modes b → sμ±τ∓ in SMEFT approach","authors":"Dhiren Panda, Manas Kumar Mohapatra, Rukmani Mohanta","doi":"10.1016/j.nuclphysb.2024.116720","DOIUrl":"10.1016/j.nuclphysb.2024.116720","url":null,"abstract":"<div><div>We perform an analysis of the consequences of various new physics operators on the lepton flavor violating (LFV) decay modes mediated through <span><math><mi>b</mi><mo>→</mo><mi>s</mi><msub><mrow><mi>ℓ</mi></mrow><mrow><mn>1</mn></mrow></msub><msub><mrow><mi>ℓ</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> transitions. We scrutinize the imprints of the (pseudo)scalar and axial (vector) operators on the exclusive LFV decay channels <span><math><msub><mrow><mi>B</mi></mrow><mrow><mo>(</mo><mi>s</mi><mo>)</mo></mrow></msub><mo>→</mo><mo>(</mo><mi>ϕ</mi><mo>,</mo><msup><mrow><mi>K</mi></mrow><mrow><mo>⁎</mo></mrow></msup><mo>,</mo><msubsup><mrow><mi>K</mi></mrow><mrow><mn>2</mn></mrow><mrow><mo>⁎</mo></mrow></msubsup><mo>)</mo><msub><mrow><mi>ℓ</mi></mrow><mrow><mn>1</mn></mrow></msub><msub><mrow><mi>ℓ</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> and <span><math><msub><mrow><mi>Λ</mi></mrow><mrow><mi>b</mi></mrow></msub><mo>→</mo><mi>Λ</mi><msub><mrow><mi>ℓ</mi></mrow><mrow><mn>1</mn></mrow></msub><msub><mrow><mi>ℓ</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span>, where <span><math><msub><mrow><mi>ℓ</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>,</mo><msub><mrow><mi>ℓ</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> represent <em>μ</em> or <em>τ</em>. The new physics parameters are constrained by using the upper limits of the branching fractions of the <span><math><msub><mrow><mi>B</mi></mrow><mrow><mi>s</mi></mrow></msub><mo>→</mo><mi>τ</mi><mi>μ</mi></math></span> and <span><math><mi>B</mi><mo>→</mo><mi>K</mi><mi>τ</mi><mi>μ</mi></math></span> processes, assuming the new physics couplings to be real. We then explore the key observables such as the branching fractions, the forward-backward asymmetries, and the longitudinal polarization fractions of the <span><math><mi>B</mi><mo>→</mo><mo>(</mo><msup><mrow><mi>K</mi></mrow><mrow><mo>⁎</mo></mrow></msup><mo>,</mo><mi>ϕ</mi><mo>,</mo><msubsup><mrow><mi>K</mi></mrow><mrow><mn>2</mn></mrow><mrow><mo>⁎</mo></mrow></msubsup><mo>)</mo><msup><mrow><mi>τ</mi></mrow><mrow><mo>±</mo></mrow></msup><msup><mrow><mi>μ</mi></mrow><mrow><mo>∓</mo></mrow></msup></math></span> decays. In addition, we also investigate the impact of the new physics couplings on the baryonic <span><math><msub><mrow><mi>Λ</mi></mrow><mrow><mi>b</mi></mrow></msub><mo>→</mo><mi>Λ</mi><msup><mrow><mi>τ</mi></mrow><mrow><mo>±</mo></mrow></msup><msup><mrow><mi>μ</mi></mrow><mrow><mo>∓</mo></mrow></msup></math></span> decay channels mediated by the <span><math><mi>b</mi><mo>→</mo><mi>s</mi></math></span> quark level transition. With the experimental prospects at LHCb upgrade and Belle II, we also predict the upper limits of the above-discussed observables, which could intrigue the new physics search in these channels.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1008 ","pages":"Article 116720"},"PeriodicalIF":2.5,"publicationDate":"2024-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142446948","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Nuclear Physics BPub Date : 2024-10-17DOI: 10.1016/j.nuclphysb.2024.116719
Haximjan Abdusattar , Shi-Bei Kong
{"title":"Cooling-heating properties of the FRW universe in gravity with a generalized conformal scalar field","authors":"Haximjan Abdusattar , Shi-Bei Kong","doi":"10.1016/j.nuclphysb.2024.116719","DOIUrl":"10.1016/j.nuclphysb.2024.116719","url":null,"abstract":"<div><div>In this paper, within the framework of modified gravity involving a conformal scalar field, we investigate the Joule-Thomson expansion of the Friedmann-Robertson-Walker (FRW) universe to identify cooling and heating regions. We observe a divergence in the Joule-Thomson coefficient (<em>μ</em>), precisely at the apparent horizon (<span><math><msub><mrow><mi>R</mi></mrow><mrow><mi>A</mi></mrow></msub><mo>=</mo><msqrt><mrow><mo>−</mo><mn>2</mn><mi>α</mi></mrow></msqrt></math></span>) of the FRW universe, under conditions of negative gravitational coupling (<span><math><mi>α</mi><mo><</mo><mn>0</mn></math></span>), which aligns with a thermodynamic singularity. Furthermore, we determine the inversion temperature and pressure for the FRW universe, and elucidate the salient features of inversion and isenthalpic curves in the temperature-pressure (<em>T</em>-<em>P</em>) plane. We compare these findings with results obtained under Einstein gravity, discussing the influence of the modification term on the cooling and heating properties of the FRW universe. This work presents insights into the formation of cooling and heating regions within the FRW universe, contributing to a deeper understanding of the physical mechanisms behind cosmic expansion history.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1008 ","pages":"Article 116719"},"PeriodicalIF":2.5,"publicationDate":"2024-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142446949","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Nuclear Physics BPub Date : 2024-10-16DOI: 10.1016/j.nuclphysb.2024.116716
Loran Ts. Adzhemyan , Daniil A. Evdokimov , Mikhail V. Kompaniets
{"title":"Hyperlogarithms in the theory of turbulence of infinite dimension","authors":"Loran Ts. Adzhemyan , Daniil A. Evdokimov , Mikhail V. Kompaniets","doi":"10.1016/j.nuclphysb.2024.116716","DOIUrl":"10.1016/j.nuclphysb.2024.116716","url":null,"abstract":"<div><div>Parametric integration with hyperlogarithms so far has been successfully used in problems of high energy physics (HEP) and critical statics. In this work, for the first time, it is applied to a problem of critical dynamics, namely, a stochastic model of developed turbulence in high-dimensional spaces, which has a propagator that is non-standard with respect to the HEP: <span><math><msup><mrow><mo>(</mo><mo>−</mo><mi>i</mi><mi>ω</mi><mo>+</mo><mi>ν</mi><msup><mrow><mi>k</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>)</mo></mrow><mrow><mo>−</mo><mn>1</mn></mrow></msup></math></span>. Adaptation of the hyperlogarithm method is carried out by choosing a proper renormalization scheme and considering an effective dimension of the space. Analytical calculation of the renormalization group functions is performed up to the fourth order of the perturbation theory, <em>ε</em>-expansion of the critical exponent <em>ω</em> responsible for the infrared stability of the fixed point is obtained.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1008 ","pages":"Article 116716"},"PeriodicalIF":2.5,"publicationDate":"2024-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142446951","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Nuclear Physics BPub Date : 2024-10-16DOI: 10.1016/j.nuclphysb.2024.116715
T.S. Tavares , G.A.P. Ribeiro
{"title":"Correlation functions of the six-vertex IRF model and its quantum spin chain","authors":"T.S. Tavares , G.A.P. Ribeiro","doi":"10.1016/j.nuclphysb.2024.116715","DOIUrl":"10.1016/j.nuclphysb.2024.116715","url":null,"abstract":"<div><div>We consider the interaction-round-a-face version of the isotropic six-vertex model. The associated spin chain is made of two coupled Heisenberg spin chains with different boundary twists. The phase diagram of the model and the long distance correlations were studied in Tavares and Ribeiro (2023) <span><span>[43]</span></span>. Here, we compute the short-distance correlation functions of the model in the ground state for finite system sizes via non-linear integral equations and in the thermodynamic limit. This was possible since the model satisfies the face version of the discrete quantum Knizhnik-Zamolodchikov (qKZ) equation. A suitable ansatz for the density matrix is proposed in the form of a direct sum of two Heisenberg density matrices, which allows us to obtain the discrete functional equation for the two-site function <span><math><mi>ω</mi><mo>(</mo><msub><mrow><mi>λ</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>,</mo><msub><mrow><mi>λ</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>)</mo></math></span>. Thanks to the known results on the factorization of correlation functions of the Heisenberg chain, we are able to compute the density matrix of the IRF model for up to four sites and its associated spin chain for up to three sites.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1008 ","pages":"Article 116715"},"PeriodicalIF":2.5,"publicationDate":"2024-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142530184","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Nuclear Physics BPub Date : 2024-10-16DOI: 10.1016/j.nuclphysb.2024.116718
Denghui Li, Zhaowen Yan
{"title":"Bernstein operators for universal characters and symplectic universal characters","authors":"Denghui Li, Zhaowen Yan","doi":"10.1016/j.nuclphysb.2024.116718","DOIUrl":"10.1016/j.nuclphysb.2024.116718","url":null,"abstract":"<div><div>This paper focuses on the construction of the Bernstein operators for universal characters and symplectic universal characters. By carrying out the action of a series of Bernstein operators on the constant function 1, universal characters and symplectic universal characters have been presented. Furthermore, we concentrate on the investigation of the product of universal characters (symplectic universal characters) and a complete symmetric function. Based upon the Pieri rules and inverse Pieri rules, universal characters and symplectic universal characters can be derived by changing corresponding diagrams of partitions.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1008 ","pages":"Article 116718"},"PeriodicalIF":2.5,"publicationDate":"2024-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142446950","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Nuclear Physics BPub Date : 2024-10-16DOI: 10.1016/j.nuclphysb.2024.116717
M.S. Guimaraes , I. Roditi , S.P. Sorella
{"title":"Bell-CHSH inequality and unitary operators","authors":"M.S. Guimaraes , I. Roditi , S.P. Sorella","doi":"10.1016/j.nuclphysb.2024.116717","DOIUrl":"10.1016/j.nuclphysb.2024.116717","url":null,"abstract":"<div><div>Unitary operators are employed to investigate the violation of the Bell-CHSH inequality. The ensuing modifications affecting both classical and quantum bounds are elucidated. The relevance of a particular class of unitary operators whose expectation values are real is pointed out. For these operators, the classical and quantum bounds remain unaltered, being given, respectively, by 2 and <span><math><mn>2</mn><msqrt><mrow><mn>2</mn></mrow></msqrt></math></span>. As examples, we discuss the explicit realization of phase space Bell-CHSH inequality violation and the Weyl unitary operators for a real scalar field in relativistic Quantum Field Theory.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1008 ","pages":"Article 116717"},"PeriodicalIF":2.5,"publicationDate":"2024-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142441482","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}