Relativistic corrections to the static potential from generalized Wilson loops at finite flow time

TL;DR

This paper discusses the computation of relativistic corrections to the static potential in quantum chromodynamics using Wilson loops with chromo-field insertions and gradient flow, improving signal quality for large loops.

Contribution

It introduces a method employing gradient flow to renormalize chromo-field insertions in Wilson loops, enhancing the accuracy of relativistic correction calculations.

Findings

Gradient flow improves signal-to-noise ratio in Wilson loop measurements.

Access to larger spatial and temporal extents in loops is achieved.

Preliminary results on relativistic corrections are obtained.

Abstract

We present results from an ongoing project concerned with the computation of $\mathcal{O}(1/m_Q)$ and $\mathcal{O}(1/m_Q^2)$ relativistic corrections to the static potential. These corrections are extracted from Wilson loops with two chromo-field insertions. We use gradient flow, which allows to renormalize the inserted fields and leads to a significantly improved signal-to-noise ratio, providing access to loops with large spatial and temporal extents.