Physics Letters BPub Date : 2025-05-07DOI: 10.1016/j.physletb.2025.139527
{"title":"Observation of VVZ production at s=13 TeV with the ATLAS detector","authors":"","doi":"10.1016/j.physletb.2025.139527","DOIUrl":"10.1016/j.physletb.2025.139527","url":null,"abstract":"<div><div>A search for the production of three massive vector bosons, <span><math><mi>V</mi><mi>V</mi><mi>Z</mi><mo>(</mo><mi>V</mi><mo>=</mo><mi>W</mi><mo>,</mo><mi>Z</mi><mo>)</mo></math></span>, in proton–proton collisions at <span><math><msqrt><mrow><mi>s</mi></mrow></msqrt><mo>=</mo><mn>13</mn></math></span> TeV is performed using data with an integrated luminosity of 140 fb<sup>−1</sup> recorded by the ATLAS detector at the Large Hadron Collider. Events produced in the leptonic final states <span><math><mi>W</mi><mi>W</mi><mi>Z</mi><mo>→</mo><mi>ℓ</mi><mi>ν</mi><mi>ℓ</mi><mi>ν</mi><mi>ℓ</mi><mi>ℓ</mi></math></span> (<span><math><mi>ℓ</mi><mo>=</mo><mi>e</mi><mo>,</mo><mi>μ</mi></math></span>), <span><math><mi>W</mi><mi>Z</mi><mi>Z</mi><mo>→</mo><mi>ℓ</mi><mi>ν</mi><mi>ℓ</mi><mi>ℓ</mi><mi>ℓ</mi><mi>ℓ</mi></math></span>, <span><math><mi>Z</mi><mi>Z</mi><mi>Z</mi><mo>→</mo><mi>ℓ</mi><mi>ℓ</mi><mi>ℓ</mi><mi>ℓ</mi><mi>ℓ</mi><mi>ℓ</mi></math></span>, and the semileptonic final states <span><math><mi>W</mi><mi>W</mi><mi>Z</mi><mo>→</mo><mi>q</mi><mi>q</mi><mi>ℓ</mi><mi>ν</mi><mi>ℓ</mi><mi>ℓ</mi></math></span> and <span><math><mi>W</mi><mi>Z</mi><mi>Z</mi><mo>→</mo><mi>ℓ</mi><mi>ν</mi><mi>q</mi><mi>q</mi><mi>ℓ</mi><mi>ℓ</mi></math></span>, are analysed. The measured cross section for the <span><math><mi>p</mi><mi>p</mi><mo>→</mo><mi>V</mi><mi>V</mi><mi>Z</mi></math></span> process is <span><math><msubsup><mrow><mn>660</mn></mrow><mrow><mo>−</mo><mn>90</mn></mrow><mrow><mo>+</mo><mn>93</mn></mrow></msubsup><msubsup><mrow><mo>(</mo><mtext>stat.</mtext><mo>)</mo></mrow><mrow><mo>−</mo><mn>81</mn></mrow><mrow><mo>+</mo><mn>88</mn></mrow></msubsup><mo>(</mo><mtext>syst.</mtext><mo>)</mo></math></span> fb, and the observed (expected) significance is 6.4 (4.7) standard deviations, representing the observation of <em>VVZ</em> production. In addition, the measured cross section for the <span><math><mi>p</mi><mi>p</mi><mo>→</mo><mi>W</mi><mi>W</mi><mi>Z</mi></math></span> process is <span><math><mn>442</mn><mo>±</mo><mn>94</mn><msubsup><mrow><mo>(</mo><mtext>stat.</mtext><mo>)</mo></mrow><mrow><mo>−</mo><mn>52</mn></mrow><mrow><mo>+</mo><mn>60</mn></mrow></msubsup><mo>(</mo><mtext>syst.</mtext><mo>)</mo></math></span> fb, and the observed (expected) significance is 4.4 (3.6) standard deviations, representing evidence of <em>WWZ</em> production. The measured cross sections are consistent with the Standard Model predictions. Constraints on physics beyond the Standard Model are also derived in the effective field theory framework by setting limits on Wilson coefficients for dimension-8 operators describing anomalous quartic gauge boson couplings.</div></div>","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"866 ","pages":"Article 139527"},"PeriodicalIF":4.3,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144069499","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}
Physics Letters BPub Date : 2025-05-07DOI: 10.1016/j.physletb.2025.139529
Francesco Marino
{"title":"Phonons mimicking doubly special relativity kinematics","authors":"Francesco Marino","doi":"10.1016/j.physletb.2025.139529","DOIUrl":"10.1016/j.physletb.2025.139529","url":null,"abstract":"<div><div>Collective excitations (phonons) in barotropic, irrotational, inviscid fluids exhibit an effective Lorentz invariance, where the sound speed plays the role of the invariant speed of light in special relativity. By carefully selecting the interaction potentials, we explicitly construct two hydrodynamic models in which phonons obey doubly special relativistic kinematics, with the analogue Planck scale emerging from non-Newtonian behavior at high energies. Specifically, we demonstrate that elastic storage leads to an approximate realization of Amelino-Camelia's scenario, while the Magueijo-Smolin model naturally emerges in the presence of elastic restoring forces.</div></div>","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"866 ","pages":"Article 139529"},"PeriodicalIF":4.3,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143923857","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}
Physics Letters BPub Date : 2025-05-07DOI: 10.1016/j.physletb.2025.139528
Dayoung Lee , Jung Keun Ahn , Seung-il Nam
{"title":"Double ϕ production in p¯p reactions near threshold","authors":"Dayoung Lee , Jung Keun Ahn , Seung-il Nam","doi":"10.1016/j.physletb.2025.139528","DOIUrl":"10.1016/j.physletb.2025.139528","url":null,"abstract":"<div><div>We employ an effective Lagrangian approach to investigate double <em>ϕ</em> production in the <span><math><mover><mrow><mi>p</mi></mrow><mrow><mo>¯</mo></mrow></mover><mi>p</mi></math></span> reaction near the threshold and describe a notable violation of the Okubo-Zweig-Iizuka (OZI) rule in this reaction process through hadronic degrees of freedom, using the currently available theoretical and experimental information. The ground-state nucleon and its <em>s</em>-wave resonances, i.e., <span><math><msup><mrow><mi>N</mi></mrow><mrow><mo>⁎</mo></mrow></msup><mo>(</mo><mn>1535</mn><mo>,</mo><mn>1650</mn><mo>,</mo><mn>1895</mn><mo>)</mo></math></span>, are taken into account in the <em>t</em>- and <em>u</em>-channel tree-level diagrams. The pentaquark-like nucleon resonance <span><math><msub><mrow><mi>P</mi></mrow><mrow><mi>s</mi></mrow></msub><mo>(</mo><mn>2071</mn><mo>,</mo><mn>3</mn><mo>/</mo><msup><mrow><mn>2</mn></mrow><mrow><mo>−</mo></mrow></msup><mo>)</mo></math></span> is also considered. In the <em>s</em>-channel diagrams, scalar and tensor mesons are incorporated, specifically <span><math><msub><mrow><mi>f</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>(</mo><mn>2020</mn><mo>,</mo><mn>2100</mn><mo>,</mo><mn>2200</mn><mo>)</mo></math></span> and <span><math><msub><mrow><mi>f</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>(</mo><mn>1950</mn><mo>,</mo><mn>2010</mn><mo>,</mo><mn>2150</mn><mo>)</mo></math></span>, respectively, along with the pseudoscalar meson <span><math><mi>η</mi><mo>(</mo><mn>2225</mn><mo>)</mo></math></span>. Our calculations suggest that contributions from the <em>N</em> and <span><math><msup><mrow><mi>N</mi></mrow><mrow><mo>⁎</mo></mrow></msup></math></span> resonances significantly enhance the cross-section near the threshold. At the same time, those from the <span><math><msub><mrow><mi>f</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> and <span><math><msub><mrow><mi>f</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> mesons produce distinctive peak structures around <span><math><mi>W</mi><mo>=</mo><mn>2.2</mn></math></span> GeV, qualitatively reproducing the JETSET experimental data. The openings of the <span><math><mover><mrow><mi>Λ</mi></mrow><mrow><mo>¯</mo></mrow></mover><mi>Λ</mi></math></span> and <span><math><mover><mrow><mi>Σ</mi></mrow><mrow><mo>¯</mo></mrow></mover><mi>Σ</mi></math></span> channels lead to the cusp structures, which can explain the nontrivial structures in the cross-section at <span><math><mi>W</mi><mo>≈</mo><mn>2</mn><msub><mrow><mi>M</mi></mrow><mrow><mi>Λ</mi></mrow></msub></math></span> and <span><math><mn>2</mn><msub><mrow><mi>M</mi></mrow><mrow><mi>Σ</mi></mrow></msub></math></span> observed in the data. It turns out that contributions from the <em>η</em> and <span><math><msub><mrow><mi>P</mi></mrow><mrow><mi>s</mi></mrow></msub></math></span> resonances are almost negligible. Additionally, polarization observables such as the spin density matrix element (SDME) provi","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"866 ","pages":"Article 139528"},"PeriodicalIF":4.3,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143923858","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}
Physics Letters BPub Date : 2025-05-07DOI: 10.1016/j.physletb.2025.139509
Zeyu Li , Yang Su , Lile Liu , Yongjing Chen , Zhipan Li
{"title":"Fourier shape parameterization in covariant density functional theory for nuclear fission","authors":"Zeyu Li , Yang Su , Lile Liu , Yongjing Chen , Zhipan Li","doi":"10.1016/j.physletb.2025.139509","DOIUrl":"10.1016/j.physletb.2025.139509","url":null,"abstract":"<div><div>We implement the Fourier shape parameterization within the point-coupling covariant density functional theory to construct the collective space, potential energy surface (PES), and mass tensor, which serve as inputs for the time-dependent generator coordinate method to simulate the fission dynamics. Taking <sup>226</sup>Th as a benchmark, we demonstrate the superiority of Fourier shape parameterization over conventional spherical harmonic parameterization: it significantly enhances the convergence of higher-order collective shape parameters by efficiently characterizing extreme nuclear deformations. Consequently, the new framework generates more reasonable highly mass-asymmetric configurations and scission configurations, and significantly improves the description of charge distribution near the symmetric fission peak. Moreover, the Fourier shape parameterization provides a smooth and well-defined three-dimensional (3D) PES with minimal correlations between degrees of freedom, enabling high-precision 3D dynamical simulations of fission.</div></div>","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"866 ","pages":"Article 139509"},"PeriodicalIF":4.3,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143935595","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}
Physics Letters BPub Date : 2025-05-06DOI: 10.1016/j.physletb.2025.139542
Debajit Bose, Rohan Pramanick, Tirtha Sankar Ray
{"title":"Neutrinos from captured dark matter in galactic stars","authors":"Debajit Bose, Rohan Pramanick, Tirtha Sankar Ray","doi":"10.1016/j.physletb.2025.139542","DOIUrl":"10.1016/j.physletb.2025.139542","url":null,"abstract":"<div><div>Sub-GeV neutrinos produced in a stellar core may emerge from main sequence stars, white dwarfs and brown dwarfs producing possible observable signals of dark matter capture. A distribution of these stars near the Milky Way galactic center will produce a neutrino flux that can be probed at Earth based neutrino observatories like Super-Kamiokande and Hyper-Kamiokande. We demonstrate that this can provide a handle to probe dark matter masses in the 200<!--> <!-->MeV<!--> <!-->−<!--> <!-->2<!--> <!-->GeV mass scales that compares favourably with present day direct detection bounds.</div></div>","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"866 ","pages":"Article 139542"},"PeriodicalIF":4.3,"publicationDate":"2025-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143923855","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}
Physics Letters BPub Date : 2025-05-06DOI: 10.1016/j.physletb.2025.139525
Gernot Eichmann , M.T. Peña , Raul D. Torres
{"title":"Five-body systems with Bethe-Salpeter equations","authors":"Gernot Eichmann , M.T. Peña , Raul D. Torres","doi":"10.1016/j.physletb.2025.139525","DOIUrl":"10.1016/j.physletb.2025.139525","url":null,"abstract":"<div><div>We extend the Bethe-Salpeter formalism to systems made of five valence particles. Restricting ourselves to two-body interactions, we derive the subtraction terms necessary to prevent overcounting. We solve the five-body Bethe-Salpeter equation numerically for a system of five scalar particles interacting by a scalar exchange boson. To make the calculations tractable, we implement properties of the permutation group <span><math><msub><mrow><mi>S</mi></mrow><mrow><mn>5</mn></mrow></msub></math></span> and construct an approximation based on intermediate two- and three-body poles. We extract the five-body ground and excited states along with the spectra obtained from the two-, three-, and four-body equations. In the limit of a massless exchange particle, the two-, three, four- and five-body states coexist within a certain range of the coupling strength, whereas for heavier exchange particles the five-body system becomes Borromean. Our study serves as a building block for the calculation of pentaquark properties using functional methods.</div></div>","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"866 ","pages":"Article 139525"},"PeriodicalIF":4.3,"publicationDate":"2025-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143943322","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}
Physics Letters BPub Date : 2025-05-05DOI: 10.1016/j.physletb.2025.139521
David S. Pereira , Francisco S.N. Lobo , José P. Mimoso
{"title":"Baryon asymmetry from higher-order matter contributions in gravity","authors":"David S. Pereira , Francisco S.N. Lobo , José P. Mimoso","doi":"10.1016/j.physletb.2025.139521","DOIUrl":"10.1016/j.physletb.2025.139521","url":null,"abstract":"<div><div>We investigate the observed asymmetry between matter and antimatter by incorporating higher-order matter contributions in gravity, specifically analyzing gravitational baryogenesis within the framework of <span><math><mi>f</mi><mo>(</mo><mi>R</mi><mo>,</mo><msup><mrow><mi>T</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>)</mo></math></span> gravity, where <em>R</em> is the Ricci scalar and <span><math><msup><mrow><mi>T</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>≡</mo><msub><mrow><mi>T</mi></mrow><mrow><mi>μ</mi><mi>ν</mi></mrow></msub><msup><mrow><mi>T</mi></mrow><mrow><mi>μ</mi><mi>ν</mi></mrow></msup></math></span>. We further explore the impact of high-order matter contributions by considering an interaction term analogous to those in gravitational and spontaneous baryogenesis, constructed using <span><math><msup><mrow><mi>T</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>. The cutoff energy scale of the new interaction term is presented and its implications to Big Bang Nucleosynthesis (BBN) are discussed. The properties and implications of this term are analyzed within the frameworks of General Relativity and <span><math><mi>f</mi><mo>(</mo><mi>R</mi><mo>,</mo><msup><mrow><mi>T</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>)</mo></math></span> gravity. Furthermore, a connection to BBN is established, providing an observational constraint on the functional form of <span><math><mi>f</mi><mo>(</mo><mi>R</mi><mo>,</mo><msup><mrow><mi>T</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>)</mo></math></span>. By introducing <span><math><msup><mrow><mi>T</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> into the gravitational action, we propose that these modifications could significantly influence the early Universe's dynamics, thereby altering the conditions necessary for baryogenesis to occur.</div></div>","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"866 ","pages":"Article 139521"},"PeriodicalIF":4.3,"publicationDate":"2025-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143918122","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}
Physics Letters BPub Date : 2025-05-05DOI: 10.1016/j.physletb.2025.139523
Yun Soo Myung
{"title":"Extended thermodynamic analysis of a charged Horndeski black hole","authors":"Yun Soo Myung","doi":"10.1016/j.physletb.2025.139523","DOIUrl":"10.1016/j.physletb.2025.139523","url":null,"abstract":"<div><div>We perform the thermodynamic analysis of a charged Horndeski black hole (CHB) with mass <em>m</em> and charge <em>q</em> obtained from the Einstein-Horndeski-Maxwell theory. There are two solution branches: one is for the CHB and the other is for the naked singularity (NS). Thermodynamic behavior for the CHB is similar to that for the Reissner-Nordström black hole but its Helmholtz free energy is always positive. If the NS point is included as an extremal point, then the Helmholtz free energy is always negative, implying that the globally stable region is achieved anywhere. For the NS, its temperature has a maximum point, its heat capacity remains negative without having Davies point, and its free energy decreases without limitation as the charge <em>q</em> increases.</div></div>","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"866 ","pages":"Article 139523"},"PeriodicalIF":4.3,"publicationDate":"2025-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143912961","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}
{"title":"Three-loop chiral effective potential in the Wess-Zumino model","authors":"I.L. Buchbinder , R.M. Iakhibbaev , D.I. Kazakov , D.M. Tolkachev","doi":"10.1016/j.physletb.2025.139524","DOIUrl":"10.1016/j.physletb.2025.139524","url":null,"abstract":"<div><div>We calculate the three-loop contribution to the chiral effective potential in the massless Wess-Zumino model. It is shown that while the non-renormalisation theorem forbids divergent contributions to the chiral potential, in the massless case the finite corrections survive. There are only three triple loop supergraphs that give rise to a superfield effective action in the pure chiral sector. Two of them are UV finite while the third requires one-loop counterterm corresponding to the chiral field renormalisation.</div></div>","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"866 ","pages":"Article 139524"},"PeriodicalIF":4.3,"publicationDate":"2025-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143918124","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}
Physics Letters BPub Date : 2025-05-05DOI: 10.1016/j.physletb.2025.139522
Lu Chen , Shun Jiang
{"title":"qOS-induced scalarization of black holes in extended scalar-tensor theories","authors":"Lu Chen , Shun Jiang","doi":"10.1016/j.physletb.2025.139522","DOIUrl":"10.1016/j.physletb.2025.139522","url":null,"abstract":"<div><div>In the extended scalar-tensor-Gauss-Bonnet (ESTGB) theory, spontaneous scalarization has been extensively studied in various types of black holes. Research indicates that in the GB<sup>−</sup> regime, where the coupling constant <span><math><mi>λ</mi><mo><</mo><mn>0</mn></math></span>, spontaneous scalarization typically occurs in rotating black holes, a phenomenon known as spin-induced scalarization. Recently, by studying the quantum Oppenheimer-Snyder (qOS) gravitational collapse model, a qOS-corrected Schwarzschild black hole has been proposed. By numerically calculating the time evolution of scalar perturbations, we have, for the first time, obtained the spontaneous scalarization region for the qOS-corrected Schwarzschild black hole in the ESTGB theory. Surprisingly, we found that GB<sup>−</sup> scalarization can also occur in this spherically symmetric black hole. We refer to this phenomenon as qOS-induced spontaneous scalarization. Our results show that the range of the quantum parameter <span><math><mi>α</mi><mo>/</mo><msup><mrow><mi>M</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> which allows GB<sup>−</sup> scalarization increases as the coupling constant <span><math><mo>−</mo><mi>λ</mi><mo>/</mo><msup><mrow><mi>M</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> grows. When <span><math><mo>−</mo><mi>λ</mi><mo>/</mo><msup><mrow><mi>M</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> is small, GB<sup>−</sup> scalarization can only occur near the extremal black hole limit. As <span><math><mo>−</mo><mi>λ</mi><mo>/</mo><msup><mrow><mi>M</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> approaches infinity, the lower boundary of <span><math><mi>α</mi><mo>/</mo><msup><mrow><mi>M</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> for GB<sup>−</sup> scalarization converges to a critical value <span><math><msub><mrow><mo>(</mo><mi>α</mi><mo>/</mo><msup><mrow><mi>M</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>)</mo></mrow><mrow><mtext>crit</mtext></mrow></msub><mo>≃</mo><mn>1.2835</mn></math></span>, which has been obtained analytically. Since the quantum parameter is typically small, our results suggest that spontaneous scalarization primarily affects microscopic black holes, offering valuable insights into the study of the early universe, primordial black holes and quantum black holes.</div></div>","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"866 ","pages":"Article 139522"},"PeriodicalIF":4.3,"publicationDate":"2025-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143912960","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}