Nucleon Axial Form Factor from Domain Wall on HISQ

TL;DR

This paper presents preliminary lattice QCD calculations of the nucleon axial form factor using domain wall fermions on HISQ ensembles, aiming to improve inputs for neutrino experiments like DUNE.

Contribution

It introduces a novel lattice QCD approach for computing the nucleon axial form factor with high precision using M"obius domain wall fermions on HISQ ensembles.

Findings

Preliminary results for the axial form factor are consistent across multiple ensembles.

Calculations include ensembles at physical pion mass.

The approach reduces uncertainties in neutrino interaction modeling.

Abstract

The Deep Underground Neutrino Experiment (DUNE) is an upcoming neutrino oscillation experiment that is poised to answer key questions about the nature of neutrinos. Lattice QCD has the ability to make significant impact upon DUNE, beginning with computations of nucleon-neutrino interactions with weak currents. Nucleon amplitudes involving the axial form factor are part of the primary signal measurement process for DUNE, and precise calculations from LQCD can significantly reduce the uncertainty for inputs into Monte Carlo generators. Recent calculations of the nucleon axial charge have demonstrated that sub-percent precision is possible on this vital quantity. In these proceedings, we discuss preliminary results for the CalLat collaboration's calculation of the axial form factor of the nucleon. These computations are performed with M\"obius domain wall valence quarks on HISQ sea quark ensembles generated by the MILC and CalLat collaborations. The results use a variety of ensembles including several at physical pion mass.