Quark anomalous magnetic moment and its effects on the ρ meson properties

The authors acknowledge valuable comments from Jos ' e Rodriguez-Quintero. This work was supported by National Natural Science Foundation of China under Grant No. 12135007.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 ρ meson properties: mass and decay constants, electromagnetic form factors, and valencequark distribution amplitudes.National Natural Science Foundation of China (NSFC) 1213500