Anomalous $AV^*V$ vertex in the soft-wall holographic model of QCD

TL;DR

This paper evaluates the $AV^*V$ vertex functions in the soft-wall holographic QCD model, comparing the results to traditional QCD calculations, to understand anomalous behavior in the presence of a soft photon.

Contribution

It provides a holographic QCD calculation of the $AV^*V$ vertex functions and compares them with established QCD results, highlighting differences and insights.

Findings

Holographic model reproduces some features of QCD vertex functions.

Differences observed between holographic and QCD results for $w_L$ and $w_T$.

Insights into anomalous vertices in holographic QCD.

Abstract

We discuss the vertex function of two vector and one axial-vector operators in the soft-wall holographic model of QCD. When one of the two vector currents represents an on-shell soft photon, such a vertex is described by two structure functions $w_L$ and $w_T$, which are usually calculated through triangular loop diagrams. We evaluate these functions in the soft-wall model of holographic QCD (HQCD) and compare the outcome to the QCD findings.