# The Stochastic Feynman-Hellmann Method

## TL;DR

This paper introduces a stochastic extension of the Feynman-Hellmann method, enabling simultaneous computation of multiple operators and momenta, demonstrated through nucleon axial charge and form factors.

## Contribution

It presents a novel stochastic approach to the Feynman-Hellmann method, overcoming previous limitations of single-operator and single-momentum restrictions.

## Key findings

- Successfully reproduces nucleon axial charge
- Demonstrates non-zero momentum transfer form factors
- Validates the stochastic method's effectiveness

## Abstract

The Feynman-Hellmann method, as implemented by Bouchard et al. [1612.06963], was recently employed successfully to determine the nucleon axial charge. A limitation of the method was the restriction to a single operator and a single momentum during the computation of each "Feynman- Hellmann" propagator. By using stochastic techniques to estimate the all-to-all propagator, we relax this constraint and demonstrate the successful implementation of this new method. We show reproduction of the axial charge on a test ensemble and non-zero momentum transfer points of the axial and vector form factors.