Pub Date : 2026-02-01DOI: 10.1016/j.physletb.2026.140190
Andreas Trautner
Goofy transformations of the Standard Model (SM) Higgs field generally prohibit its bare mass term. This opens up an entirely new class of solutions to the electroweak (EW) hierarchy problem. We argue that these can be intrinsically linked to the flavor structure and origin of CP violation.
{"title":"Goofy transformations and the hierarchy problem","authors":"Andreas Trautner","doi":"10.1016/j.physletb.2026.140190","DOIUrl":"10.1016/j.physletb.2026.140190","url":null,"abstract":"<div><div>Goofy transformations of the Standard Model (SM) Higgs field generally prohibit its bare mass term. This opens up an entirely new class of solutions to the electroweak (EW) hierarchy problem. We argue that these can be intrinsically linked to the flavor structure and origin of CP violation.</div></div>","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"873 ","pages":"Article 140190"},"PeriodicalIF":4.5,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146072392","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}
Pub Date : 2026-02-01DOI: 10.1016/j.physletb.2026.140200
M.R. Xie , J.G. Li , C.A. Bertulani , N. Michel , Y.Z. Sun , W. Zuo
A two-decade-old puzzle in heavy-ion one-nucleon knockout reactions is the strong correlation between the reduction factor and the Fermi surface asymmetry ΔS. Theoretical cross sections typically rely on spectroscopic factors (SFs) from shell model (SM) calculations, which neglect continuum coupling effects. Here, we employ the Gamow shell model (GSM), which explicitly incorporates continuum coupling, to compute SFs for p-shell nuclei and predict corresponding theoretical cross sections. Systematic calculations demonstrate that using GSM-derived SFs substantially reduces discrepancies between theoretical and experimental results. This improvement is particularly significant for deeply bound nucleon knockout in nuclei near the dripline, where traditional SM-based calculations fall short. As a result, using GSM SFs, the ratio Rs exhibits no pronounced dependence on ΔS. Furthermore, both the ratio of GSM SFs to SM SFs and their corresponding reaction cross sections ratios exhibit a strong ΔS dependence. We have also compared GSM SFs and cross sections with those from the no-core shell model calculations, giving a similar pronounced sensitivity to ΔS. Detailed analysis attributes these correlations to threshold effects for SFs in weakly bound systems. Overall, incorporating continuum coupling via GSM enhances the reliability of SF predictions for exotic, weakly bound nuclei and provides key insights toward resolving the enduring puzzle in heavy-ion knockout reactions from a nuclear structure perspective.
{"title":"How threshold effects in spectroscopic factors influence heavy-ion knockout reactions","authors":"M.R. Xie , J.G. Li , C.A. Bertulani , N. Michel , Y.Z. Sun , W. Zuo","doi":"10.1016/j.physletb.2026.140200","DOIUrl":"10.1016/j.physletb.2026.140200","url":null,"abstract":"<div><div>A two-decade-old puzzle in heavy-ion one-nucleon knockout reactions is the strong correlation between the reduction factor <span><math><mrow><msub><mi>R</mi><mi>s</mi></msub><mo>=</mo><msub><mi>σ</mi><mi>exp</mi></msub><mo>/</mo><msub><mi>σ</mi><mrow><mrow><mi>t</mi></mrow><mi>h</mi></mrow></msub></mrow></math></span> and the Fermi surface asymmetry Δ<em>S</em>. Theoretical cross sections typically rely on spectroscopic factors (SFs) from shell model (SM) calculations, which neglect continuum coupling effects. Here, we employ the Gamow shell model (GSM), which explicitly incorporates continuum coupling, to compute SFs for <em>p</em>-shell nuclei and predict corresponding theoretical cross sections. Systematic calculations demonstrate that using GSM-derived SFs substantially reduces discrepancies between theoretical and experimental results. This improvement is particularly significant for deeply bound nucleon knockout in nuclei near the dripline, where traditional SM-based calculations fall short. As a result, using GSM SFs, the ratio <em>R<sub>s</sub></em> exhibits no pronounced dependence on Δ<em>S</em>. Furthermore, both the ratio of GSM SFs to SM SFs and their corresponding reaction cross sections ratios exhibit a strong Δ<em>S</em> dependence. We have also compared GSM SFs and cross sections with those from the no-core shell model calculations, giving a similar pronounced sensitivity to Δ<em>S</em>. Detailed analysis attributes these correlations to threshold effects for SFs in weakly bound systems. Overall, incorporating continuum coupling via GSM enhances the reliability of SF predictions for exotic, weakly bound nuclei and provides key insights toward resolving the enduring puzzle in heavy-ion knockout reactions from a nuclear structure perspective.</div></div>","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"873 ","pages":"Article 140200"},"PeriodicalIF":4.5,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146033162","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}
Pub Date : 2026-02-01DOI: 10.1016/j.physletb.2026.140201
Shuichi Yokoyama
{"title":"Erratum to: “Gravitational Equilibrium with Steady Flow and Relativistic Local Thermodynamics” [Phys. Lett. B 868 (2025) 139740]","authors":"Shuichi Yokoyama","doi":"10.1016/j.physletb.2026.140201","DOIUrl":"10.1016/j.physletb.2026.140201","url":null,"abstract":"","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"873 ","pages":"Article 140201"},"PeriodicalIF":4.5,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146078761","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}
Pub Date : 2026-02-01DOI: 10.1016/j.physletb.2026.140179
Benjamin Fuks , Aminul Hossain , James Keaveney
We present an analysis of six differential cross-section measurements of top-quark pair production in the dilepton channel from the ATLAS and CMS experiments. The data are compared to state-of-the-art QCD predictions with and without the inclusion of toponium formation effects. This contribution is modelled via a re-weighting of fixed-order matrix elements using the Green’s function of the non-relativistic QCD Hamiltonian, and we employ a statistical model to quantify the preference of the data for the toponium hypothesis. All observables yield Bayes factors larger than unity, with two exceeding 20, yielding strong evidence for the toponium hypothesis in top-quark pair production at the LHC.
{"title":"Statistical indications of toponium formation in top quark pair production","authors":"Benjamin Fuks , Aminul Hossain , James Keaveney","doi":"10.1016/j.physletb.2026.140179","DOIUrl":"10.1016/j.physletb.2026.140179","url":null,"abstract":"<div><div>We present an analysis of six differential cross-section measurements of top-quark pair production in the dilepton channel from the ATLAS and CMS experiments. The data are compared to state-of-the-art QCD predictions with and without the inclusion of toponium formation effects. This contribution is modelled via a re-weighting of fixed-order matrix elements using the Green’s function of the non-relativistic QCD Hamiltonian, and we employ a statistical model to quantify the preference of the data for the toponium hypothesis. All observables yield Bayes factors larger than unity, with two exceeding 20, yielding strong evidence for the toponium hypothesis in top-quark pair production at the LHC.</div></div>","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"873 ","pages":"Article 140179"},"PeriodicalIF":4.5,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146033164","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}
Pub Date : 2026-02-01DOI: 10.1016/j.physletb.2026.140206
Koushik Ray
A simple scheme to express the Mellin transform of D-dimensional Euclidean conformal bootstrap equation is presented by relating conformal blocks to a Gauss-Grassmann (GG) system due to Gelfand-Graev, associated to conformal integrals, which, in turn, are generalised hypergeometric functions. Usefulness of the expression for obtaining bounds on the spectrum of fields is demonstrated.
{"title":"Conformal bootstrap in Mellin space from GG systems","authors":"Koushik Ray","doi":"10.1016/j.physletb.2026.140206","DOIUrl":"10.1016/j.physletb.2026.140206","url":null,"abstract":"<div><div>A simple scheme to express the Mellin transform of <em>D</em>-dimensional Euclidean conformal bootstrap equation is presented by relating conformal blocks to a Gauss-Grassmann (GG) system due to Gelfand-Graev, associated to conformal integrals, which, in turn, are generalised hypergeometric functions. Usefulness of the expression for obtaining bounds on the spectrum of fields is demonstrated.</div></div>","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"873 ","pages":"Article 140206"},"PeriodicalIF":4.5,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146071586","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}
Pub Date : 2026-02-01DOI: 10.1016/j.physletb.2026.140197
Mubtasim Fuad , Sonia Akter Ema , Md Rasel Hossen
Doppler lensing, a relativistic effect resulting from the peculiar velocities of galaxies along the line of sight, provides insight into the large-scale structure of the Universe. Relativistic simulations are essential for modeling Doppler lensing because they incorporate gravity and motion in spacetime. We compare two relativistic N-body simulation frameworks, Gevolution and Screening, to calculate Doppler lensing convergence in cosmic voids of different sizes and halos of different masses. Our analysis reveals scale-dependent performance: Screening shows larger differences in small voids (radius range: 15–25) with a mean absolute relative difference of 38.5%, due to linearized dynamics failing in nonlinear regimes. Medium voids (25–35) show better agreement (9.5% mean difference). For large voids (35–45), Screening exhibits intermediate differences (16.9% mean difference) with central instabilities. Moreover, our Doppler convergence analysis with massive halos (1011.5–) demonstrates excellent consistency (1.6–3.6% mean difference). These findings provide clear guidance for simulation choice: Gevolution is recommended for precision studies critical to ΛCDM or modified gravity tests, while Screening offers a computationally efficient alternative for relativistic treatments with large catalogs of voids and halos, assisting future astrophysical surveys.
{"title":"Tracing cosmological signature with Doppler lensing: Insights from cosmological simulations","authors":"Mubtasim Fuad , Sonia Akter Ema , Md Rasel Hossen","doi":"10.1016/j.physletb.2026.140197","DOIUrl":"10.1016/j.physletb.2026.140197","url":null,"abstract":"<div><div>Doppler lensing, a relativistic effect resulting from the peculiar velocities of galaxies along the line of sight, provides insight into the large-scale structure of the Universe. Relativistic simulations are essential for modeling Doppler lensing because they incorporate gravity and motion in spacetime. We compare two relativistic <em>N</em>-body simulation frameworks, <span>Gevolution</span> and <span>Screening</span>, to calculate Doppler lensing convergence in cosmic voids of different sizes and halos of different masses. Our analysis reveals scale-dependent performance: <span>Screening</span> shows larger differences in small voids (radius range: 15–25<span><math><mrow><mspace></mspace><msup><mi>h</mi><mrow><mo>−</mo><mn>1</mn></mrow></msup><mtext>Mpc</mtext></mrow></math></span>) with a mean absolute relative difference of 38.5%, due to linearized dynamics failing in nonlinear regimes. Medium voids (25–35<span><math><mrow><mspace></mspace><msup><mi>h</mi><mrow><mo>−</mo><mn>1</mn></mrow></msup><mtext>Mpc</mtext></mrow></math></span>) show better agreement (9.5% mean difference). For large voids (35–45<span><math><mrow><mspace></mspace><msup><mi>h</mi><mrow><mo>−</mo><mn>1</mn></mrow></msup><mtext>Mpc</mtext></mrow></math></span>), <span>Screening</span> exhibits intermediate differences (16.9% mean difference) with central instabilities. Moreover, our Doppler convergence analysis with massive halos (10<sup>11.5</sup>–<span><math><mrow><msup><mn>10</mn><mn>14</mn></msup><mspace></mspace><msup><mi>h</mi><mrow><mo>−</mo><mn>1</mn></mrow></msup><msub><mi>M</mi><mo>⊙</mo></msub></mrow></math></span>) demonstrates excellent consistency (1.6–3.6% mean difference). These findings provide clear guidance for simulation choice: <span>Gevolution</span> is recommended for precision studies critical to ΛCDM or modified gravity tests, while <span>Screening</span> offers a computationally efficient alternative for relativistic treatments with large catalogs of voids and halos, assisting future astrophysical surveys.</div></div>","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"873 ","pages":"Article 140197"},"PeriodicalIF":4.5,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146033165","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}
Pub Date : 2026-02-01DOI: 10.1016/j.physletb.2026.140212
Sudip Halder , Supriya Pan , Paulo M. Sá , Tapan Saha
In this article, we investigate the existence of accelerating scaling solutions in coupled phantom cosmology without assuming any specific potential for the phantom scalar field. The coupling between phantom dark energy and dark matter is motivated by the warm inflationary paradigm, with the dissipation coefficient assumed to be either constant or variable. The evolution equations are written in the form of autonomous systems, whose stability is studied using methods of qualitative analysis of dynamical systems. For this analysis, the only requirement imposed on the otherwise arbitrary phantom potential is that a particular dynamical variable, defined in terms of the potential and its derivative, must be invertible. For such a generic potential, we show that accelerated scaling solutions do exist, for both constant and variable dissipation coefficients. Although there is a limitation to these scaling solutions – specifically, the current stage of accelerated expansion is not preceded by a long enough matter-dominated era – our results show that the existence of a direct coupling between phantom dark energy and dark matter yields great potential for addressing the cosmic coincidence problem.
{"title":"Phantom cosmology with arbitrary potential: New accelerating scaling attractors","authors":"Sudip Halder , Supriya Pan , Paulo M. Sá , Tapan Saha","doi":"10.1016/j.physletb.2026.140212","DOIUrl":"10.1016/j.physletb.2026.140212","url":null,"abstract":"<div><div>In this article, we investigate the existence of accelerating scaling solutions in coupled phantom cosmology without assuming any specific potential for the phantom scalar field. The coupling between phantom dark energy and dark matter is motivated by the warm inflationary paradigm, with the dissipation coefficient assumed to be either constant or variable. The evolution equations are written in the form of autonomous systems, whose stability is studied using methods of qualitative analysis of dynamical systems. For this analysis, the only requirement imposed on the otherwise arbitrary phantom potential is that a particular dynamical variable, defined in terms of the potential and its derivative, must be invertible. For such a generic potential, we show that accelerated scaling solutions do exist, for both constant and variable dissipation coefficients. Although there is a limitation to these scaling solutions – specifically, the current stage of accelerated expansion is not preceded by a long enough matter-dominated era – our results show that the existence of a direct coupling between phantom dark energy and dark matter yields great potential for addressing the cosmic coincidence problem.</div></div>","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"873 ","pages":"Article 140212"},"PeriodicalIF":4.5,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146072394","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}
Pub Date : 2026-02-01DOI: 10.1016/j.physletb.2026.140203
Howard Baer , Vernon Barger , Natsumi Nagata , Dibyashree Sengupta
Light higgsinos with mass GeV are well-motivated from naturalness considerations within supersymmetric models. However, at hadron colliders such as CERN LHC, they are rather difficult to search for due to the small visible energy release from heavy higgsino decay to the lightest higgsino, assumed here to be the lightest SUSY particle (LSP). An alternative way to search for the sparticles of supersymmetry is via their virtual effects on electroweak precision observables (EWPO) such as the W boson mass or the effective weak mixing angle sin 2θeff. We quantify the ability of an Higgs factory operating at GeV to indirectly detect higgsinos via EWPO in the so-called higgsino discovery plane. The latter allows one to compare the relative reach of LHC and high-lumi LHC with an Higgs factory and with a linear collider operating at TeV.
{"title":"Reach of e+e− Higgs factory for light higgsinos via electroweak precision observables and comparison with other future facilities","authors":"Howard Baer , Vernon Barger , Natsumi Nagata , Dibyashree Sengupta","doi":"10.1016/j.physletb.2026.140203","DOIUrl":"10.1016/j.physletb.2026.140203","url":null,"abstract":"<div><div>Light higgsinos with mass <span><math><mrow><mo>∼</mo><mn>100</mn><mo>−</mo><mn>400</mn></mrow></math></span> GeV are well-motivated from naturalness considerations within supersymmetric models. However, at hadron colliders such as CERN LHC, they are rather difficult to search for due to the small visible energy release from heavy higgsino decay to the lightest higgsino, assumed here to be the lightest SUSY particle (LSP). An alternative way to search for the sparticles of supersymmetry is via their virtual effects on electroweak precision observables (EWPO) such as the <em>W</em> boson mass or the effective weak mixing angle sin <sup>2</sup><em>θ</em><sub>eff</sub>. We quantify the ability of an <span><math><mrow><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup></mrow></math></span> Higgs factory operating at <span><math><mrow><msqrt><mi>s</mi></msqrt><mo>∼</mo><mn>90</mn><mo>−</mo><mn>250</mn></mrow></math></span> GeV to indirectly detect higgsinos via EWPO in the so-called <em>higgsino discovery plane</em>. The latter allows one to compare the relative reach of LHC and high-lumi LHC with an <span><math><mrow><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup></mrow></math></span> Higgs factory and with a linear <span><math><mrow><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup></mrow></math></span> collider operating at <span><math><mrow><msqrt><mi>s</mi></msqrt><mo>∼</mo><mn>0.5</mn></mrow></math></span> TeV.</div></div>","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"873 ","pages":"Article 140203"},"PeriodicalIF":4.5,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146033158","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}
Pub Date : 2026-02-01DOI: 10.1016/j.physletb.2026.140204
Ying-Ying Ye , Bao-Min Gu
Using the latest observational data, we constrain the inflationary dynamics and the subsequent reheating epoch. Predictions for both phases can be significantly improved by employing numerically computed results compared to the slow-roll approximations. These results enable a more accurate reassessment of the observational viability of inflationary models, provide tighter constraints on the reheating history, and help lift the degeneracies in the predictions of inflation and reheating dynamics. Given current observational bounds, this enables a more accurate understanding of the early universe physics.
{"title":"Confronting inflation and reheating with observations: Improved predictions","authors":"Ying-Ying Ye , Bao-Min Gu","doi":"10.1016/j.physletb.2026.140204","DOIUrl":"10.1016/j.physletb.2026.140204","url":null,"abstract":"<div><div>Using the latest observational data, we constrain the inflationary dynamics and the subsequent reheating epoch. Predictions for both phases can be significantly improved by employing numerically computed results compared to the slow-roll approximations. These results enable a more accurate reassessment of the observational viability of inflationary models, provide tighter constraints on the reheating history, and help lift the degeneracies in the predictions of inflation and reheating dynamics. Given current observational bounds, this enables a more accurate understanding of the early universe physics.</div></div>","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"873 ","pages":"Article 140204"},"PeriodicalIF":4.5,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146047881","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}
Pub Date : 2026-02-01DOI: 10.1016/j.physletb.2026.140198
Yutaro Shoji , Katarina Trailović
We introduce a robust numerical method for determining intersection numbers of Lefschetz thimbles in multivariable settings. Our approach employs the multiple shooting method to solve the upward flow equations from the saddle points to the original integration cycle, which also enables us to determine the signs of the intersection numbers. The method demonstrates stable and reliable performance, and has been tested for systems with up to 20 variables, which can be further extended by adopting quadruple-precision arithmetic. We determine intersection numbers for several complex saddle points in a discretized path integral, providing new insights into the structure of real-time path integrals. The proposed method is broadly applicable to a wide range of problems involving oscillatory integrals in physics and mathematics. https://github.com/KTrailovic/Lefschetz_Thimble_Intersection_Numbers
{"title":"Stable evaluation of Lefschetz thimble intersection numbers:Towards real-time path integrals","authors":"Yutaro Shoji , Katarina Trailović","doi":"10.1016/j.physletb.2026.140198","DOIUrl":"10.1016/j.physletb.2026.140198","url":null,"abstract":"<div><div>We introduce a robust numerical method for determining intersection numbers of Lefschetz thimbles in multivariable settings. Our approach employs the multiple shooting method to solve the upward flow equations from the saddle points to the original integration cycle, which also enables us to determine the signs of the intersection numbers. The method demonstrates stable and reliable performance, and has been tested for systems with up to 20 variables, which can be further extended by adopting quadruple-precision arithmetic. We determine intersection numbers for several complex saddle points in a discretized path integral, providing new insights into the structure of real-time path integrals. The proposed method is broadly applicable to a wide range of problems involving oscillatory integrals in physics and mathematics. <span><span>https://github.com/KTrailovic/Lefschetz_Thimble_Intersection_Numbers</span><svg><path></path></svg></span></div></div>","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"873 ","pages":"Article 140198"},"PeriodicalIF":4.5,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146047882","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}
扫码关注我们
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号