Physics Letters BPub Date : 2024-11-21DOI: 10.1016/j.physletb.2024.139139
Dmitry Galakhov, Alexei Morozov
{"title":"On geometric bases for quantum A-polynomials of knots","authors":"Dmitry Galakhov, Alexei Morozov","doi":"10.1016/j.physletb.2024.139139","DOIUrl":"https://doi.org/10.1016/j.physletb.2024.139139","url":null,"abstract":"A simple geometric way is suggested to derive the Ward identities in the Chern-Simons theory, also known as quantum <ce:italic>A</ce:italic>- and <ce:italic>C</ce:italic>-polynomials for knots. In quasi-classical limit it is closely related to the well publicized augmentation theory and contact geometry. Quantization allows to present it in much simpler terms, what could make these techniques available to a broader audience. To avoid overloading of the presentation, only the case of the colored Jones polynomial for the trefoil knot is considered, though various generalizations are straightforward. Restriction to solely Jones polynomials (rather than full HOMFLY-PT) is related to a serious simplification, provided by the use of Kauffman calculus. Going beyond looks realistic, however it remains a problem, both challenging and promising.","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"255 1","pages":""},"PeriodicalIF":4.4,"publicationDate":"2024-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142691131","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 : 2024-11-20DOI: 10.1016/j.physletb.2024.139146
Nikolaos Kidonakis, Chris Foster
{"title":"Higher-order soft-gluon corrections for [formula omitted] cross sections","authors":"Nikolaos Kidonakis, Chris Foster","doi":"10.1016/j.physletb.2024.139146","DOIUrl":"https://doi.org/10.1016/j.physletb.2024.139146","url":null,"abstract":"We calculate higher-order soft-gluon corrections for the associated production of a top-antitop quark pair and a <ce:italic>Z</ce:italic> boson (<mml:math altimg=\"si1.svg\"><mml:mi>t</mml:mi><mml:mover accent=\"true\"><mml:mrow><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy=\"false\">¯</mml:mo></mml:mrow></mml:mover><mml:mi>Z</mml:mi></mml:math> production) in proton-proton collisions. We find that these corrections are numerically dominant and large. We present approximate NNLO (aNNLO) and approximate N<ce:sup loc=\"post\">3</ce:sup>LO (aN<ce:sup loc=\"post\">3</ce:sup>LO) cross sections that add, respectively, second-order and third-order soft-gluon corrections to the exact NLO QCD result. We also add electroweak (EW) corrections through NLO. We estimate uncertainties that arise from scale dependence, which are smaller at higher orders, and from parton distribution functions. We compare our aN<ce:sup loc=\"post\">3</ce:sup>LO QCD + NLO EW theoretical results to measurements of <mml:math altimg=\"si1.svg\"><mml:mi>t</mml:mi><mml:mover accent=\"true\"><mml:mrow><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy=\"false\">¯</mml:mo></mml:mrow></mml:mover><mml:mi>Z</mml:mi></mml:math> cross sections from the LHC and find good agreement. We also calculate single-particle-inclusive differential distributions in top-quark transverse momentum and rapidity.","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"18 1","pages":""},"PeriodicalIF":4.4,"publicationDate":"2024-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142691124","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 : 2024-11-19DOI: 10.1016/j.physletb.2024.139141
A. Gavrikov, V. Cerrone, A. Serafini, R. Brugnera, A. Garfagnini, M. Grassi, B. Jelmini, L. Lastrucci, S. Aiello, G. Andronico, V. Antonelli, A. Barresi, D. Basilico, M. Beretta, A. Bergnoli, M. Borghesi, A. Brigatti, R. Bruno, A. Budano, B. Caccianiga, A. Cammi, R. Caruso, D. Chiesa, C. Clementi, S. Dusini, A. Fabbri, G. Felici, F. Ferraro, M.G. Giammarchi, N. Giudice, R.M. Guizzetti, N. Guardone, C. Landini, I. Lippi, S. Loffredo, L. Loi, P. Lombardi, C. Lombardo, F. Mantovani, S.M. Mari, A. Martini, L. Miramonti, M. Montuschi, M. Nastasi, D. Orestano, F. Ortica, A. Paoloni, E. Percalli, F. Petrucci, E. Previtali, G. Ranucci, A.C. Re, M. Redchuck, B. Ricci, A. Romani, P. Saggese, G. Sava, C. Sirignano, M. Sisti, L. Stanco, E. Stanescu Farilla, V. Strati, M.D.C. Torri, A. Triossi, C. Tuvè, C. Venettacci, G. Verde, L. Votano
{"title":"Interpretable machine learning approach for electron antineutrino selection in a large liquid scintillator detector","authors":"A. Gavrikov, V. Cerrone, A. Serafini, R. Brugnera, A. Garfagnini, M. Grassi, B. Jelmini, L. Lastrucci, S. Aiello, G. Andronico, V. Antonelli, A. Barresi, D. Basilico, M. Beretta, A. Bergnoli, M. Borghesi, A. Brigatti, R. Bruno, A. Budano, B. Caccianiga, A. Cammi, R. Caruso, D. Chiesa, C. Clementi, S. Dusini, A. Fabbri, G. Felici, F. Ferraro, M.G. Giammarchi, N. Giudice, R.M. Guizzetti, N. Guardone, C. Landini, I. Lippi, S. Loffredo, L. Loi, P. Lombardi, C. Lombardo, F. Mantovani, S.M. Mari, A. Martini, L. Miramonti, M. Montuschi, M. Nastasi, D. Orestano, F. Ortica, A. Paoloni, E. Percalli, F. Petrucci, E. Previtali, G. Ranucci, A.C. Re, M. Redchuck, B. Ricci, A. Romani, P. Saggese, G. Sava, C. Sirignano, M. Sisti, L. Stanco, E. Stanescu Farilla, V. Strati, M.D.C. Torri, A. Triossi, C. Tuvè, C. Venettacci, G. Verde, L. Votano","doi":"10.1016/j.physletb.2024.139141","DOIUrl":"https://doi.org/10.1016/j.physletb.2024.139141","url":null,"abstract":"Several neutrino detectors, KamLAND, Daya Bay, Double Chooz, RENO, and the forthcoming large-scale JUNO, rely on liquid scintillator to detect reactor antineutrino interactions. In this context, inverse beta decay represents the golden channel for antineutrino detection, providing a pair of correlated events, thus a strong experimental signature to distinguish the signal from a variety of backgrounds. However, given the low cross-section of antineutrino interactions, the development of a powerful event selection algorithm becomes imperative to achieve effective discrimination between signal and backgrounds. In this study, we introduce a machine learning (ML) model to achieve this goal: a fully connected neural network as a powerful signal-background discriminator for a large liquid scintillator detector. We demonstrate, using the JUNO detector as an example, that, despite the already high efficiency of a cut-based approach, the presented ML model can further improve the overall event selection efficiency. Moreover, it allows for the retention of signal events at the detector edges that would otherwise be rejected because of the overwhelming amount of background events in that region. We also present the first interpretable analysis of the ML approach for event selection in reactor neutrino experiments. This method provides insights into the decision-making process of the model and offers valuable information for improving and updating traditional event selection approaches.","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"15 1","pages":""},"PeriodicalIF":4.4,"publicationDate":"2024-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142691133","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 : 2024-11-19DOI: 10.1016/j.physletb.2024.139144
P.P. Avelino
{"title":"Particles and their fluids in nontrivial matter extensions to general relativity","authors":"P.P. Avelino","doi":"10.1016/j.physletb.2024.139144","DOIUrl":"https://doi.org/10.1016/j.physletb.2024.139144","url":null,"abstract":"According to the standard von Laue condition, the volume-averaged pressure inside particles of fixed mass and structure vanishes in the Minkowski limit of general relativity. Here we show that this condition is in general not fulfilled in the context of <mml:math altimg=\"si1.svg\"><mml:mi>f</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>R</mml:mi><mml:mo>,</mml:mo><mml:mi>T</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math> gravity, or of other theories of gravity in which the linear momentum is not conserved in this limit (here, <ce:italic>R</ce:italic> and <ce:italic>T</ce:italic> represent the Ricci scalar and the trace of the energy-momentum tensor, respectively). We derive a generalized von Laue condition valid for the <mml:math altimg=\"si2.svg\"><mml:mi mathvariant=\"script\">R</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>R</mml:mi><mml:mo stretchy=\"false\">)</mml:mo><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">+</mml:mo><mml:mi mathvariant=\"script\">F</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>T</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math> subclass of <mml:math altimg=\"si1.svg\"><mml:mi>f</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>R</mml:mi><mml:mo>,</mml:mo><mml:mi>T</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math> theories of gravity and discuss its cosmological implications. In particular, we show that the standard radiation and matter era evolution of the universe is recovered in the context <mml:math altimg=\"si3.svg\"><mml:mi>R</mml:mi><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">+</mml:mo><mml:mi mathvariant=\"script\">F</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>T</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math> gravity independently of the specific properties of the function <mml:math altimg=\"si4.svg\"><mml:mi mathvariant=\"script\">F</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>T</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math>. We also find that dust — a perfect fluid whose particles are at rest in the fluid's proper frame — cannot in general be described as pressureless in the context of these theories. We further discuss the implications of our findings for the form of the on-shell Lagrangian of an ideal gas.","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"76 1","pages":""},"PeriodicalIF":4.4,"publicationDate":"2024-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142691135","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 : 2024-11-19DOI: 10.1016/j.physletb.2024.139138
Wojciech Broniowski, Enrique Ruiz Arriola
{"title":"Gravitational form factors of the pion and meson dominance","authors":"Wojciech Broniowski, Enrique Ruiz Arriola","doi":"10.1016/j.physletb.2024.139138","DOIUrl":"https://doi.org/10.1016/j.physletb.2024.139138","url":null,"abstract":"We show that the recent MIT lattice QCD data for the pion's gravitational form factors are, in the covered momentum transfer range, fully consistent with the meson dominance principle. In particular, the <mml:math altimg=\"si1.svg\"><mml:msup><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mo linebreak=\"badbreak\" linebreakstyle=\"after\">+</mml:mo><mml:mo linebreak=\"badbreak\" linebreakstyle=\"after\">+</mml:mo></mml:mrow></mml:msup></mml:math> component can be accurately saturated with the <mml:math altimg=\"si2.svg\"><mml:msub><mml:mrow><mml:mi>f</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo stretchy=\"false\">(</mml:mo><mml:mn>1270</mml:mn><mml:mo stretchy=\"false\">)</mml:mo></mml:math> meson, whereas the <mml:math altimg=\"si3.svg\"><mml:msup><mml:mrow><mml:mn>0</mml:mn></mml:mrow><mml:mrow><mml:mo linebreak=\"badbreak\" linebreakstyle=\"after\">+</mml:mo><mml:mo linebreak=\"badbreak\" linebreakstyle=\"after\">+</mml:mo></mml:mrow></mml:msup></mml:math> component with the <ce:italic>σ</ce:italic> meson. To incorporate the large width of the <ce:italic>σ</ce:italic>, we use the dispersion relation with the spectral density obtained from analyses of the physical pion scattering data. Effects of the pion mass are estimated within Chiral Perturbation Theory and are found to be small between the lattice and the physical point. We also discuss the implications of the perturbative QCD constraints at high momentum transfers, leading to specific sum rules for the spectral densities of the gravitational form factors, and argue that these densities cannot be of definite sign.","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"24 1","pages":""},"PeriodicalIF":4.4,"publicationDate":"2024-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142691137","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 : 2024-11-19DOI: 10.1016/j.physletb.2024.139142
Joanna E. Sobczyk, Noemi Rocco, Alessandro Lovato
{"title":"Modeling inclusive electron-nucleus scattering with Bayesian artificial neural networks","authors":"Joanna E. Sobczyk, Noemi Rocco, Alessandro Lovato","doi":"10.1016/j.physletb.2024.139142","DOIUrl":"https://doi.org/10.1016/j.physletb.2024.139142","url":null,"abstract":"We introduce a Bayesian protocol based on artificial neural networks that is suitable for modeling inclusive electron-nucleus scattering on a variety of nuclear targets with quantified uncertainties. Unlike previous applications in the field, which directly parameterize the cross sections, our approach employs artificial neural networks to represent the longitudinal and transverse response functions. In contrast to cross sections, which depend on the incoming energy, scattering angle, and energy transfer, the response functions are determined solely by the energy and momentum transfer to the system, allowing the angular component to be treated analytically. We assess the accuracy and predictive power of our framework against the extensive data in the quasielastic inclusive electron-scattering database. Additionally, we present novel extractions of the longitudinal and transverse response functions and compare them with previous experimental analysis and nuclear ab-initio calculations.","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"18 1","pages":""},"PeriodicalIF":4.4,"publicationDate":"2024-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142691136","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":"Single-proton removal reaction in the IQMD+GEMINI model benchmarked by elemental fragmentation cross sections of 29−33Si on carbon at ∼230 MeV/nucleon","authors":"Guang-Shuai Li, Bao-Hua Sun, Jun Su, Isao Tanihata, Satoru Terashima, Jian-Wei Zhao, Er-Xi Xiao, Ji-Chao Zhang, Liu-Chun He, Ge Guo, Wei-Ping Lin, Wen-Jian Lin, Chuan-Ye Liu, Chen-Gui Lu, Bo Mei, Dan-Yang Pang, Ye-Lei Sun, Zhi-Yu Sun, Meng Wang, Feng Wang, Jing Wang, Shi-Tao Wang, Xiu-Lin Wei, Xiao-Dong Xu, Jun-Yao Xu, Li-Hua Zhu, Yong Zheng, Mei-Xue Zhang, Xue-Heng Zhang","doi":"10.1016/j.physletb.2024.139143","DOIUrl":"https://doi.org/10.1016/j.physletb.2024.139143","url":null,"abstract":"We report on the first measurement of the elemental fragmentation cross sections (EFCSs) of <mml:math altimg=\"si1.svg\"><mml:mmultiscripts><mml:mrow><mml:mi mathvariant=\"normal\">Si</mml:mi></mml:mrow><mml:mprescripts></mml:mprescripts><mml:none></mml:none><mml:mrow><mml:mn>29</mml:mn><mml:mo linebreak=\"badbreak\" linebreakstyle=\"after\">−</mml:mo><mml:mn>33</mml:mn></mml:mrow></mml:mmultiscripts></mml:math> on a carbon target at ∼230 MeV/nucleon. The experimental data covering charge changes of Δ<ce:italic>Z</ce:italic> = 1-4 are reproduced well by the isospin-dependent quantum molecular dynamics (IQMD) coupled with the evaporation GEMINI (IQMD+GEMINI) model. We further explore the mechanisms underlying the single-proton removal reaction in this model framework. We conclude that the cross sections from direct proton knockout exhibit an overall weak dependence on the mass number of Si projectiles. The proton evaporation induced after the projectile excitation significantly affects the cross sections for neutron-deficient Si isotopes, while neutron evaporation plays a crucial role in the reactions of neutron-rich Si isotopes. It is presented that the relative magnitude of one-proton and one-neutron separation energies is an essential factor that influences evaporation processes. Therefore, proton evaporation should be incorporated into the reaction model in addition to the direct proton knockout in analyses of Gade-Tostevin systematic for single-proton removal reactions.","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"35 1","pages":""},"PeriodicalIF":4.4,"publicationDate":"2024-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142691125","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 : 2024-11-17DOI: 10.1016/j.physletb.2024.139136
Suo Tang
{"title":"Finite beaming effect on QED cascades","authors":"Suo Tang","doi":"10.1016/j.physletb.2024.139136","DOIUrl":"https://doi.org/10.1016/j.physletb.2024.139136","url":null,"abstract":"The quantum electrodynamic (QED) theory predicts the photon emission and pair creation involved in QED cascades occur mainly in a forward cone with finite angular spread <mml:math altimg=\"si1.svg\"><mml:mi mathvariant=\"normal\">Δ</mml:mi><mml:mi>θ</mml:mi><mml:mo>∼</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy=\"false\">/</mml:mo><mml:msub><mml:mrow><mml:mi>γ</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:math> along the momenta of incoming particles. This finite beaming effect has been assumed to be negligible because of the particles' ultra-relativistic Lorentz factor <mml:math altimg=\"si2.svg\"><mml:msub><mml:mrow><mml:mi>γ</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>≫</mml:mo><mml:mn>1</mml:mn></mml:math> in laser-driven QED cascades. We develop an energy- and angularly resolved particle-tracking code, resolving both the energy spectra and the momentum profile of the outgoing particles in each QED event, which improves substantially the agreement between the simulation and exact QED results. We investigate QED cascades driven by two counter-propagating circularly polarized laser pulses, and show that the narrow beaming could be accumulated to effectively suppress the long-term growth of cascades, even though it can hardly affect the early formation of cascades. For QED cascades longer than 10 laser cycles, the finite beaming effect could decrease the final pair yield, especially at ultrahigh intensities <mml:math altimg=\"si3.svg\"><mml:mi>ξ</mml:mi><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">></mml:mo><mml:mn>600</mml:mn></mml:math>, by more than 10%.","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"15 1","pages":""},"PeriodicalIF":4.4,"publicationDate":"2024-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142691139","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 : 2024-11-17DOI: 10.1016/j.physletb.2024.139135
Shaouly Bar-Shalom, Amarjit Soni, Jose Wudka
{"title":"Theoretical underpinnings of CP-violation at the high-energy frontier","authors":"Shaouly Bar-Shalom, Amarjit Soni, Jose Wudka","doi":"10.1016/j.physletb.2024.139135","DOIUrl":"https://doi.org/10.1016/j.physletb.2024.139135","url":null,"abstract":"We present a general analysis for the discovery potential of CP-violation (CPV) searches in scattering processes at TeV-scale colliders in an effective field theory framework, using the SMEFT basis for higher dimensional operators. In particular, we systematically examine the CP-violating sector of the SMEFT framework in some well motivated limiting cases, based on flavour symmetries of the underlying heavy theory. We show that, under naturality arguments of the underlying new physics (NP) and in the absence of (or suppressed) flavour-changing interactions, there is only a single operator, <mml:math altimg=\"si1.svg\"><mml:msub><mml:mrow><mml:mi>Q</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi><mml:mi>ϕ</mml:mi></mml:mrow></mml:msub><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">=</mml:mo><mml:msup><mml:mrow><mml:mi>ϕ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">†</mml:mi></mml:mrow></mml:msup><mml:mi>ϕ</mml:mi><mml:mrow><mml:mo stretchy=\"true\">(</mml:mo><mml:msub><mml:mrow><mml:mover accent=\"true\"><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy=\"false\">¯</mml:mo></mml:mrow></mml:mover></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mi>t</mml:mi><mml:mo stretchy=\"true\">)</mml:mo></mml:mrow><mml:mover accent=\"true\"><mml:mrow><mml:mi>ϕ</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy=\"false\">˜</mml:mo></mml:mrow></mml:mover></mml:math> which alters the top-Yukawa coupling, that can generate a non-vanishing CP-violating effect from tree-level SM×NP interference terms. We find, however, that CPV from <mml:math altimg=\"si1.svg\"><mml:msub><mml:mrow><mml:mi>Q</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi><mml:mi>ϕ</mml:mi></mml:mrow></mml:msub><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">=</mml:mo><mml:msup><mml:mrow><mml:mi>ϕ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">†</mml:mi></mml:mrow></mml:msup><mml:mi>ϕ</mml:mi><mml:mrow><mml:mo stretchy=\"true\">(</mml:mo><mml:msub><mml:mrow><mml:mover accent=\"true\"><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy=\"false\">¯</mml:mo></mml:mrow></mml:mover></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mi>t</mml:mi><mml:mo stretchy=\"true\">)</mml:mo></mml:mrow><mml:mover accent=\"true\"><mml:mrow><mml:mi>ϕ</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy=\"false\">˜</mml:mo></mml:mrow></mml:mover></mml:math> is expected to be at best of <mml:math altimg=\"si2.svg\"><mml:mi>O</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mn>1</mml:mn><mml:mtext>%</mml:mtext><mml:mo stretchy=\"false\">)</mml:mo></mml:math> and, therefore, very challenging if at all measurable at the LHC or other future high-energy colliders. We then conclude that a potentially measurable CP-violating effect of <mml:math altimg=\"si3.svg\"><mml:mi>O</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mn>10</mml:mn><mml:mtext>%</mml:mtext><mml:mo stretchy=\"false\">)</mml:mo></mml:math> can arise in high-energy scattering processes <ce:italic>only</ce:italic> if ","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"12 1","pages":""},"PeriodicalIF":4.4,"publicationDate":"2024-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142691138","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 : 2024-11-15DOI: 10.1016/j.physletb.2024.139126
A. Marshakov
{"title":"On Krichever tau-function and Verlinde formula","authors":"A. Marshakov","doi":"10.1016/j.physletb.2024.139126","DOIUrl":"https://doi.org/10.1016/j.physletb.2024.139126","url":null,"abstract":"We remind the definition and main properties of the Krichever quasiclassical tau-function, and turn to the application of these formulas for recent studies of two-dimensional quantum gravity. We show, that in the case of minimal gravity it turns to be directly related with the Verlinde formula for minimal models, giving in particular case its one more direct proof. Generalizations for continuous “complex Liouville” theory are also briefly discussed.","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":"8 1","pages":""},"PeriodicalIF":4.4,"publicationDate":"2024-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142691140","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}