Dispersion relations for the hadronic VVA correlator
Abstract We derive two types of dispersion relations for the hadronic vector-vector-axial-vector (VVA) correlator: one in generic three-point kinematics with fixed photon virtualities, the second in the kinematic limit of one soft photon. The VVA correlator enters in the electroweak contribution to...
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SpringerOpen
2025-04-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP04(2025)130 |
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| author | Jan Lüdtke Massimiliano Procura Peter Stoffer |
| author_facet | Jan Lüdtke Massimiliano Procura Peter Stoffer |
| author_sort | Jan Lüdtke |
| collection | DOAJ |
| description | Abstract We derive two types of dispersion relations for the hadronic vector-vector-axial-vector (VVA) correlator: one in generic three-point kinematics with fixed photon virtualities, the second in the kinematic limit of one soft photon. The VVA correlator enters in the electroweak contribution to the muon anomalous magnetic moment and it also emerges as the leading term in the operator-product expansion for hadronic light-by-light scattering in the limit of two large photon momenta. Previously, this correlator was only described in terms of hadronic models. Our new dispersive treatments are in analogy to the established and the newly proposed dispersive approaches to hadronic light-by-light. The VVA correlator allows us to investigate the relation between the two types of dispersion relations in a simpler example and to elucidate the reshuffling of different hadronic contributions in this comparison. As a byproduct, we reduce the theoretical uncertainties on the first-family VVA contribution to the muon anomalous magnetic moment by combining the dispersive representation with both asymptotic and low-energy constraints. |
| format | Article |
| id | doaj-art-fbddb2c7bdc54899a948844aa1b95a75 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-fbddb2c7bdc54899a948844aa1b95a752025-08-20T03:53:13ZengSpringerOpenJournal of High Energy Physics1029-84792025-04-012025418410.1007/JHEP04(2025)130Dispersion relations for the hadronic VVA correlatorJan Lüdtke0Massimiliano Procura1Peter Stoffer2Faculty of Physics, University of ViennaFaculty of Physics, University of ViennaPhysik-Institut, Universität ZürichAbstract We derive two types of dispersion relations for the hadronic vector-vector-axial-vector (VVA) correlator: one in generic three-point kinematics with fixed photon virtualities, the second in the kinematic limit of one soft photon. The VVA correlator enters in the electroweak contribution to the muon anomalous magnetic moment and it also emerges as the leading term in the operator-product expansion for hadronic light-by-light scattering in the limit of two large photon momenta. Previously, this correlator was only described in terms of hadronic models. Our new dispersive treatments are in analogy to the established and the newly proposed dispersive approaches to hadronic light-by-light. The VVA correlator allows us to investigate the relation between the two types of dispersion relations in a simpler example and to elucidate the reshuffling of different hadronic contributions in this comparison. As a byproduct, we reduce the theoretical uncertainties on the first-family VVA contribution to the muon anomalous magnetic moment by combining the dispersive representation with both asymptotic and low-energy constraints.https://doi.org/10.1007/JHEP04(2025)130Chiral LagrangianEffective Field TheoriesElectroweak Precision PhysicsNonperturbative Effects |
| spellingShingle | Jan Lüdtke Massimiliano Procura Peter Stoffer Dispersion relations for the hadronic VVA correlator Journal of High Energy Physics Chiral Lagrangian Effective Field Theories Electroweak Precision Physics Nonperturbative Effects |
| title | Dispersion relations for the hadronic VVA correlator |
| title_full | Dispersion relations for the hadronic VVA correlator |
| title_fullStr | Dispersion relations for the hadronic VVA correlator |
| title_full_unstemmed | Dispersion relations for the hadronic VVA correlator |
| title_short | Dispersion relations for the hadronic VVA correlator |
| title_sort | dispersion relations for the hadronic vva correlator |
| topic | Chiral Lagrangian Effective Field Theories Electroweak Precision Physics Nonperturbative Effects |
| url | https://doi.org/10.1007/JHEP04(2025)130 |
| work_keys_str_mv | AT janludtke dispersionrelationsforthehadronicvvacorrelator AT massimilianoprocura dispersionrelationsforthehadronicvvacorrelator AT peterstoffer dispersionrelationsforthehadronicvvacorrelator |