Quark anomalous magnetic moment and its effects on the $\rho$ meson properties

TL;DR

This paper investigates how the quark anomalous magnetic moment influences the properties of the $ ho$ meson using a symmetry-preserving Dyson-Schwinger and Bethe-Salpeter framework, revealing detailed effects on meson structure and interactions.

Contribution

It introduces a novel Bethe-Salpeter kernel consistent with Ward-Green-Takahashi identities to analyze the impact of the quark anomalous magnetic moment on $ ho$ meson properties.

Findings

Quark anomalous magnetic moment affects $ ho$ meson electromagnetic form factors.

The study predicts modifications in $ ho$ meson mass and decay constants.

The quark-photon vertex exhibits a vector meson pole and magnetic moment contributions.

Abstract

A symmetry-preserving treatment of mesons, within a Dyson-Schwinger and Bethe-Salpeter equations approach, demands an interconnection between the kernels of the quark gap equation and meson Bethe-Salpeter equation. Appealing to those symmetries expressed by the vector and axial-vector Ward-Green-Takahashi identitiges (WGTI), we construct a two-body Bethe-Salpeter kernel and study its implications in the vector channel; particularly, we analyze the structure of the quark-photon vertex, which explicitly develops a vector meson pole in the timelike axis and the quark anomlaous magnetic moment term, as well as a variety of $\rho$ meson properties: mass and decay constants, electromagnetic form factors, and valence-quark distribution amplitudes.