Dispersion relations for the hadronic VVA correlator
- Author(s)
- Jan Lüdtke, Massimiliano Procura, Peter Stoffer
- 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.
- Organisation(s)
- Particle Physics
- External organisation(s)
- Paul Scherrer Institute, Universität Zürich (UZH)
- Journal
- Journal of High Energy Physics
- Volume
- 2025
- No. of pages
- 84
- ISSN
- 1029-8479
- DOI
- https://doi.org/10.48550/arXiv.2410.11946
- Publication date
- 04-2025
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103012 High energy physics
- Keywords
- ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/2a444b11-dc73-4944-b170-0bca7342ed7d