# Towards lattice-assisted hadron physics calculations based on QCD n-point functions

## TL;DR

This paper reports preliminary lattice QCD results on the tensor structure of quark-antiquark vertices, comparing them with continuum Bethe-Salpeter solutions, revealing similarities and deviations at low momentum.

## Contribution

It provides new lattice calculations of vertex form factors with near-physical quark masses and compares them to continuum models, highlighting areas of agreement and discrepancy.

## Key findings

- Similar momentum dependence in form factors between lattice and continuum
- Deviations observed at low momentum in lattice results
- Results suggest refinements needed in continuum models

## Abstract

We present preliminary lattice results for the nonperturbative tensor structure of the vector and axial-vector quark-antiquark vertices in QCD. Our lattice calculations are for $N_f=2$ mass-degenerate Wilson fermion flavors whose quark mass values include an almost physical one. We compare our lattice results with the corresponding continuum solutions of the inhomogeneous Bethe-Salpeter equations in a rainbow-ladder truncation. We find similarities in the momentum dependencies of the form factors but also clear deviations at low momentum.