# The strong running coupling from the gauge sector of Domain Wall lattice QCD with physical quark masses

## TL;DR

This paper presents the first lattice QCD calculation of the strong running coupling at the physical pion mass using ghost-gluon vertex data from Domain Wall fermions, aligning well with the global average.

## Contribution

It introduces a novel lattice computation of the strong coupling at the physical point via the ghost-gluon vertex with Domain Wall fermions, connecting lattice results to continuum QCD approaches.

## Key findings

- MS coupling at m_Z^2 = 0.1172(11)
- Agreement with the world-wide average
- Validation of the Taylor-scheme approach in lattice QCD

## Abstract

We report on the first computation of the strong running coupling at the physical point (physical pion mass) from the ghost-gluon vertex, computed from lattice simulations with three flavors of Domain Wall fermions. We find $\alpha_{\overline{\rm MS}}(m_Z^2)=0.1172(11)$, in remarkably good agreement with the world-wide average. Our computational bridge to this value is the Taylor-scheme strong coupling, which has been revealed of great interest by itself because it can be directly related to the quark-gluon interaction kernel in continuum approaches to the QCD bound-state problem.