Axial Nucleon to Delta transition form factors on 2+1 flavor hybrid lattices

TL;DR

This paper corrects previous calculations of nucleon to Delta axial transition form factors on hybrid lattices, aligning them with results from Wilson fermions and clarifying the impact of analysis errors in low Q^2 regimes.

Contribution

It provides corrected values for key form factors in nucleon to Delta transitions on hybrid lattices, improving the accuracy of lattice QCD results.

Findings

Corrected the axial transition form factors CA_5 and CA_6.

Aligned hybrid lattice results with Wilson fermion results.

Clarified the impact of analysis errors at low Q^2.

Abstract

We correct the values of the dominant nucleon to Delta axial transition form factors CA_5 and CA_6 published in C. Alexandrou et.al., Phys. Rev. D 76,094511 (2007). The analysis error affects only the values obtained when using the hybrid action in the low Q^2 regime bringing them into agreement with those obtained with Wilson fermions.