Dispersion relations for the hadronic VVA correlator

Autor(en)

Jan Lüdtke, Massimiliano Procura, Peter Stoffer

Abstrakt

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(en)

Teilchenphysik

Externe Organisation(en)

Paul Scherrer Institute, Universität Zürich (UZH)

Journal

Journal of High Energy Physics

Band

2025

Anzahl der Seiten

84

ISSN

1029-8479

DOI

https://doi.org/10.48550/arXiv.2410.11946

Publikationsdatum

04-2025

Peer-reviewed

Ja

ÖFOS 2012

103012 Hochenergiephysik

Schlagwörter

ASJC Scopus Sachgebiete

Nuclear and High Energy Physics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/2a444b11-dc73-4944-b170-0bca7342ed7d