# Dressed Quark Tensor Vertex and Nucleon Tensor Charge

## TL;DR

This paper calculates the nucleon tensor charge using a consistent framework for the quark tensor vertex, incorporating gluon dressing effects, and finds results consistent with lattice QCD, showing significant suppression due to gluon dressing.

## Contribution

It introduces a method to compute the quark tensor vertex and nucleon tensor charge within a unified framework considering gluon dressing effects, improving upon previous models.

## Key findings

- Gluon dressing suppresses the nucleon tensor charge by about 23% in RL approximation.
- The framework yields results consistent with lattice QCD calculations.
- Gluon dressing effects reduce the tensor charge by about 13% in this approach.

## Abstract

We construct the quark-antiquark scattering kernels of Bethe-Salpeter equation from the quark self-energy directly under two specific forms of quark-gluon vertices. The quark dressed tensor vertex is then calculated within this consistent framework and rainbow-ladder(RL) approximation. After employing a simplified nucleon model, the nucleon tensor charge can be defined with the tensor vertex. We then compute the tensor charge with the bare tensor vertex and the dressed vertices obtained in this framework and in RL approximation. The obtained results are consistent with the lattice QCD calculations. We also find that typically the gluon dressing effects suppress the nucleon tensor charge compared to the bare tensor vertex, by about $23\%$ for RL approximation, and turn to be about $13\%$ in this framework.