Updated determination of light-cone distribution amplitudes of octet baryons in lattice QCD

TL;DR

This paper provides updated lattice QCD results for the wave functions and distribution amplitudes of octet baryons, including continuum limit control and new anomalous dimension calculations.

Contribution

It introduces refined calculations of baryon distribution amplitudes using multiple lattice spacings and updated conversion factors, also deriving anomalous dimensions for three-quark operators.

Findings

Wave function normalization constants determined.

First moments of distribution amplitudes calculated.

Anomalous dimensions for local three-quark operators obtained.

Abstract

We present updated results on the wave function normalization constants and the first moments of the light cone distribution amplitudes for the lowest-lying baryon octet. The analysis is carried out on a large number of $n_f=2+1$ lattice gauge ensembles, including ensembles at physical pion (and kaon) masses. These are spread across five different lattice spacings, enabling a controlled continuum limit. The main differences with respect to our earlier work are the use of two-loop conversion factors to an $\overline{\mathrm{MS}}$-like scheme and of an updated set of low-energy constants in the parametrization of the quark mass dependence. As a byproduct, for the first time, the anomalous dimensions for local three-quark operators with one derivative are obtained.