Physical Review D最新文献

{"title":"Gluon polarization contribution to the spin alignment of vector mesons from holography","authors":"Hiwa A. Ahmed, Yidian Chen, Mei Huang","doi":"10.1103/physrevd.111.086006","DOIUrl":"https://doi.org/10.1103/physrevd.111.086006","url":null,"abstract":"We investigate the behavior of vector mesons ρ</a:mi></a:math>, <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:mi>ϕ</c:mi></c:math>, and <e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:mi>J</e:mi><e:mo>/</e:mo><e:mi mathvariant=\"normal\">Ψ</e:mi></e:math> in both nonrotating and rotating thermal media using the soft-wall holographic QCD model with four flavors. By incorporating anisotropic backgrounds derived from the Einstein-Maxwell-dilaton action, we incorporate rotational effects via a <h:math xmlns:h=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><h:mi>U</h:mi><h:mo stretchy=\"false\">(</h:mo><h:mn>1</h:mn><h:mo stretchy=\"false\">)</h:mo></h:math> gauge field, and the induced polarization of gluons is described by a rotation dependent dilation field. Spectral function analysis reveals that <l:math xmlns:l=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><l:mi>ρ</l:mi></l:math> and <n:math xmlns:n=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><n:mi>ϕ</n:mi></n:math> mesons exhibit broad peaks at lower temperatures, indicating their presence in the medium, while these peaks disappear at higher temperatures. Rotation delays this melting process, increasing the dissociation temperature. In contrast, the <p:math xmlns:p=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><p:mi>J</p:mi><p:mo>/</p:mo><p:mi mathvariant=\"normal\">Ψ</p:mi></p:math> meson, owing to its heavy charm quark content, demonstrates its resilience to thermal effects. We further explore the global spin alignment of these mesons in the event plane frame. For the <s:math xmlns:s=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><s:mi>ϕ</s:mi></s:math> meson, the averaged <u:math xmlns:u=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><u:msub><u:mi>ρ</u:mi><u:mn>00</u:mn></u:msub></u:math> over the full range of azimuthal angles shows weak temperature dependence at low transverse momentum (<w:math xmlns:w=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><w:msub><w:mi>p</w:mi><w:mi>T</w:mi></w:msub></w:math>) but significant suppression at high <y:math xmlns:y=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><y:msub><y:mi>p</y:mi><y:mi>T</y:mi></y:msub></y:math>, aligning with experimental observations. Rotation enhances ρ</ab:mi>00</ab:mn></ab:msub></ab:math> at high <cb:math xmlns:cb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><cb:msub><cb:mi>p</cb:mi><cb:mi>T</cb:mi></cb:msub></cb:math>, a phenomenon attributed to angular momentum transfer via spin-orbit coupling. The <eb:math xmlns:eb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><eb:mi>J</eb:mi><eb:mo>/</eb:mo><eb:mi mathvariant=\"normal\">Ψ</eb:mi></eb:math> meson, however, displays insensitivity to temperature and rotation up to <hb:math xmlns:hb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><hb:msub><hb:mi>p</hb:mi><hb:mi>T</hb:mi></hb:msub><hb:mo>=</hb:mo><hb:mn>5</hb:mn><hb:mtext> </hb:mtext><hb:mtext> </hb:mtex","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"183 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143757981","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":"New factorizations of Yang-Mills amplitudes","authors":"Yong Zhang","doi":"10.1103/physrevd.111.085004","DOIUrl":"https://doi.org/10.1103/physrevd.111.085004","url":null,"abstract":"We propose a new factorization pattern for tree-level Yang-Mills (YM) amplitudes, where they decompose into a sum of gluings of two lower-point amplitudes by setting specific two-point nonplanar Mandelstam variables within a rectangular configuration to zero. This approach manifests the hidden zeros of YM amplitudes recently identified. Furthermore, by setting specific Lorentz products involving polarization vectors to zero, the amplitudes further reduce to a sum of products of three currents. These novel factorizations provide a fresh perspective on the structure of YM amplitudes, potentially enhancing our understanding and calculation of these fundamental quantities. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"38 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143766333","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":"Angular distribution study for high mass dimuon pairs in CMS open 2012 data and for mono- Z′ model","authors":"S. Elgammal","doi":"10.1103/physrevd.111.052015","DOIUrl":"https://doi.org/10.1103/physrevd.111.052015","url":null,"abstract":"This analysis uses the Compact Muon Solenoid (CMS) open data to study the angular distribution of high mass dimuon pairs produced during proton-proton interaction at a center of mass energy of 8 TeV. The study uses the cos</a:mi>θ</a:mi></a:mrow>CS</a:mi></a:mrow></a:msub></a:mrow></a:math> variable defined in the Collins-Soper frame. In the Standard Model (SM), the production of high mass dimuon pairs is dominated by the Drell-Yan process, which exhibits a strong forward-backward asymmetry. However, many scenarios beyond the SM predict different shapes for the <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:mrow><c:mi>cos</c:mi><c:msub><c:mrow><c:mi>θ</c:mi></c:mrow><c:mrow><c:mi>CS</c:mi></c:mrow></c:msub></c:mrow></c:math> distribution. In excess events beyond the SM, the angular distribution can be used to distinguish between those models. The mono-<e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:msup><e:mi mathvariant=\"normal\">Z</e:mi><e:mo>′</e:mo></e:msup></e:math> model has been used to interpret the data, and no deviation from the SM has been observed. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"86 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143744889","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":"Improved precision calculation of the 0νββ contact term within chiral effective field theory","authors":"Graham Van Goffrier","doi":"10.1103/physrevd.111.055033","DOIUrl":"https://doi.org/10.1103/physrevd.111.055033","url":null,"abstract":"Neutrinoless double-beta (0</a:mn>ν</a:mi>β</a:mi>β</a:mi></a:math>) decay is an as-yet unobserved nuclear process, which stands to provide crucial insights for model building beyond the Standard Model of particle physics. Its detection would simultaneously confirm the hypothesis that neutrinos are Majorana fermions, thus violating lepton-number conservation, and provide the first measurement of the absolute neutrino mass scale. This work aims to improve the estimation within chiral effective field theory of the so-called “contact term” for <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:mn>0</c:mn><c:mi>ν</c:mi><c:mi>β</c:mi><c:mi>β</c:mi></c:math> decay, a short-range two-nucleon effect that is unaccounted for in traditional nuclear approaches to the process. We conduct a thorough review of the justifications for this contact term and the most precise computation of its size to date [<e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:mrow><e:msubsup><e:mrow><e:mi>g</e:mi></e:mrow><e:mrow><e:mi>ν</e:mi></e:mrow><e:mrow><e:mi>N</e:mi><e:mi>N</e:mi></e:mrow></e:msubsup><e:mo>=</e:mo><e:mn>1.3</e:mn><e:mo stretchy=\"false\">(</e:mo><e:mn>6</e:mn><e:mo stretchy=\"false\">)</e:mo></e:mrow></e:math> at renormalization point <i:math xmlns:i=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><i:mi>μ</i:mi><i:mo>=</i:mo><i:msub><i:mi>m</i:mi><i:mi>π</i:mi></i:msub></i:math>], whose precision is limited by a truncation to elastic intermediate hadronic states. We then perform an extension of this analysis to a subleading class of inelastic intermediate states that we characterize, delivering an updated figure for the contact coefficient [<k:math xmlns:k=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><k:msubsup><k:mi>g</k:mi><k:mi>ν</k:mi><k:mrow><k:mi>N</k:mi><k:mi>N</k:mi></k:mrow></k:msubsup><k:mo>=</k:mo><k:mn>1.4</k:mn><k:mo stretchy=\"false\">(</k:mo><k:mn>3</k:mn><k:mo stretchy=\"false\">)</k:mo></k:math> at <o:math xmlns:o=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><o:mi>μ</o:mi><o:mo>=</o:mo><o:msub><o:mi>m</o:mi><o:mi>π</o:mi></o:msub></o:math>] with uncertainty reduced by half. Such nuclear results, especially with enhanced precision, show promise for the resolution of disagreements between estimates of <q:math xmlns:q=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><q:mn>0</q:mn><q:mi>ν</q:mi><q:mi>ν</q:mi><q:mi>β</q:mi><q:mi>β</q:mi></q:math> from different many-body methods. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"5 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143744892","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":"Pseudoscalar Higgs boson decay to three parton amplitudes at NNLO to higher orders in the dimensional regulator","authors":"Pulak Banerjee, Chinmoy Dey, M. C. Kumar, V. Ravindran","doi":"10.1103/physrevd.111.054037","DOIUrl":"https://doi.org/10.1103/physrevd.111.054037","url":null,"abstract":"We present for the first time the second-order corrections of pseudoscalar(A</a:mi></a:mrow></a:math>) Higgs decay to three parton to higher orders in the dimensional regulator. We compute the one- and two-loop amplitudes for processes, <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:mi>A</c:mi><c:mo stretchy=\"false\">→</c:mo><c:mi>g</c:mi><c:mi>g</c:mi><c:mi>g</c:mi></c:math> and <f:math xmlns:f=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><f:mi>A</f:mi><f:mo stretchy=\"false\">→</f:mo><f:mi>q</f:mi><f:mover accent=\"true\"><f:mi>q</f:mi><f:mo stretchy=\"false\">¯</f:mo></f:mover><f:mi>g</f:mi></f:math>, in the effective theory framework. With suitable crossing of the external momenta, these calculations are well-suited for predicting the differential distribution of pseudoscalar Higgs in association with a jet at hadron colliders, up to next-to-next-to-leading order in the strong coupling constant. These results expanded to higher orders in the dimensional regulator will contribute to the full three-loop cross section. We implement the finite pieces of the amplitudes in a numerical code which can be used with any Monte Carlo phase space generator. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"33 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143744884","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":"Topological susceptibility and axion properties in the presence of a strong magnetic field within the three-flavor NJL model","authors":"J. P. Carlomagno, D. Gómez Dumm, N. N. Scoccola","doi":"10.1103/physrevd.111.074001","DOIUrl":"https://doi.org/10.1103/physrevd.111.074001","url":null,"abstract":"We analyze the topological susceptibility and the axion properties in the presence of an external uniform magnetic field, considering a three-flavor Nambu-Jona-Lasinio model that includes strong C</a:mi>P</a:mi></a:math> violation through a ’t Hooft-like flavor mixing term. Both thermal and finite density effects are studied for magnetic fields up to <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:mrow><c:mn>1</c:mn><c:mtext> </c:mtext><c:mtext> </c:mtext><c:msup><c:mi>GeV</c:mi><c:mn>2</c:mn></c:msup></c:mrow></c:math>, and the corresponding phase transitions are analyzed. To capture the inverse magnetic catalysis effect at finite temperatures and densities, a magnetic-field-dependent coupling constant is considered. Our analytical and numerical results are compared with those previously obtained from lattice QCD, chiral perturbation theory, and other effective models. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"37 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143744885","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":"Transverse spin correlation of back-to-back dihadrons in unpolarized collisions","authors":"Lei Yang, Yu-Kun Song, Shu-Yi Wei","doi":"10.1103/physrevd.111.054035","DOIUrl":"https://doi.org/10.1103/physrevd.111.054035","url":null,"abstract":"The spin correlation of back-to-back dihadrons emerges in unpolarized high-energy collision, empowering unpolarized experiments to shed light on the spin-dependent fragmentation functions. This work investigates the transverse spin correlation of back-to-back dihadrons in unpolarized e</a:mi></a:mrow>+</a:mo></a:mrow></a:msup>e</a:mi></a:mrow>−</a:mo></a:mrow></a:msup></a:mrow></a:math>, <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:mi>p</c:mi><c:mi>p</c:mi></c:math>, and <e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:mi>γ</e:mi><e:mi>p</e:mi></e:math> collisions, which serves as a novel probe of the chiral-odd fragmentation function <g:math xmlns:g=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><g:msub><g:mi>H</g:mi><g:mrow><g:mn>1</g:mn><g:mi>T</g:mi></g:mrow></g:msub><g:mo stretchy=\"false\">(</g:mo><g:mi>z</g:mi><g:mo stretchy=\"false\">)</g:mo></g:math>. We compute the transverse spin correlation at the partonic level and establish a connection with helicity amplitudes. Measuring this observable in future experiments can reveal valuable information on the hadronization of transversely polarized quarks. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"15 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143744888","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":"Elastic cross section is entanglement entropy","authors":"Ian Low, Zhewei Yin","doi":"10.1103/physrevd.111.065027","DOIUrl":"https://doi.org/10.1103/physrevd.111.065027","url":null,"abstract":"We present universal relations between entanglement entropy, which quantifies the quantum correlation between subsystems, and the cross section, which is the primary observable for high-energy particle scattering, by employing a careful formulation of wave packets for the incoming particles. For 2-to-2 elastic scattering with no initial entanglement and subdividing the system along particle labels, we show that both the Rényi and Tsallis entropies in the final states are directly proportional to the elastic cross section in units of the transverse size for the initial wave packets, which is then interpreted as the elastic scattering probability. The relations do not depend on the underlying dynamics of the quantum field theory and are valid to all orders in coupling strengths. Furthermore, computing quantum correlations between momentum and nonkinematic data leads to entanglement entropies expressed as various semi-inclusive elastic cross sections. Our result gives rise to a novel “area law” for entanglement entropy in a two-body system. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"36 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143744890","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":"False vacuum decay beyond the quadratic approximation: Summation of nonlocal self-energies","authors":"Matthias Carosi, Björn Garbrecht","doi":"10.1103/physrevd.111.085002","DOIUrl":"https://doi.org/10.1103/physrevd.111.085002","url":null,"abstract":"Using the 2PI effective action formalism, we study false vacuum decay beyond the quadratic approximation of the path integral. We derive a coupled system of equations for the bounce and the propagator, and we compute a semianalytic expression for the self-energy of a real scalar field with cubic and quartic interactions from the 2PI effective action truncated at two loops and without further approximations. Deriving numerical results, we can show that the Hartree approximation, where nonlocal contributions to the self-energy are neglected, is generally not justified. The procedure we develop is a key step towards the explicit computation of the quantum corrected bounce, the determinant of fluctuations about it, and the decay rate in the presence of classical zero modes that are lifted by quantum effects, e.g., classically scale-invariant models relevant for assessing the Higgs stability. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"216 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143757986","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":"Nonlinear massive gravity theory of geometric origin","authors":"Thibault Damour, Tamanna Jain","doi":"10.1103/physrevd.111.084001","DOIUrl":"https://doi.org/10.1103/physrevd.111.084001","url":null,"abstract":"We study the number of propagating degrees of freedom, at nonlinear order, in torsion gravity theories, a class of modified theories of gravity that include a propagating torsion in addition to the metric. We focus on a three-parameter subfamily of theories (“torsion bigravity”) that contains, at linear order, only two physical excitations: a massless spin-2 one (with 2 degrees of freedom) and a massive spin-2 one (with 5 degrees of freedom). We study the dynamics of the massive spin-2 field in the limit where the torsion field decouples from the metric. The number of degrees of freedom of the torsion field is found to change, at nonlinear order, from five to nine. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"27 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143744833","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}