# Nucleon Charges from 2+1+1-flavor HISQ and 2+1-flavor clover lattices

## TL;DR

This paper presents high-precision calculations of nucleon charges using advanced lattice QCD techniques on multiple ensembles, achieving controlled excited-state contamination and reliable continuum and chiral extrapolations.

## Contribution

The study introduces a combined analysis of 2+1+1-flavor HISQ and 2+1-flavor clover lattices with high statistics and improved methods for excited-state control, providing precise nucleon charge estimates.

## Key findings

- Consistent nucleon charge results across different lattice ensembles.
- Effective use of truncated solver and coherent source techniques for high statistics.
- Controlled excited-state contamination with multi-state fits.

## Abstract

Precise estimates of the nucleon charges $g_A$, $g_S$ and $g_T$ are needed in many phenomenological analyses of SM and BSM physics. In this talk, we present results from two sets of calculations using clover fermions on 9 ensembles of 2+1+1-flavor HISQ and 4 ensembles of 2+1-flavor clover lattices. We show that high statistics can be obtained cost-effectively using the truncated solver method with bias correction and the coherent source sequential propagator technique. By performing simulations at 4--5 values of the source-sink separation $t_{\rm sep}$, we demonstrate control over excited-state contamination using 2- and 3-state fits. Using the high-precision 2+1+1-flavor data, we perform a simultaneous fit in $a$, $M_\pi$ and $M_\pi L$ to obtain our final results for the charges.