# Electromagnetic form factors at large momenta from lattice QCD

## TL;DR

This paper introduces a novel Feynman-Hellmann method implementation in lattice QCD, enabling the calculation of hadronic electromagnetic form factors at high momentum transfers up to 6 GeV^2, aligning well with experimental data.

## Contribution

The paper presents a new approach to compute hadronic form factors at large momenta in lattice QCD, overcoming previous limitations.

## Key findings

- Electromagnetic form factors of pion and nucleon determined up to 6 GeV^2
- Results for G_E/G_M in proton agree with experimental data
- Method allows access to higher momentum transfers in lattice QCD

## Abstract

Accessing hadronic form factors at large momentum transfers has traditionally presented a challenge for lattice QCD simulations. Here we demonstrate how a novel implementation of the Feynman-Hellmann method can be employed to calculate hadronic form factors in lattice QCD at momenta much higher than previously accessible. Our simulations are performed on a single set of gauge configurations with three flavours of degenerate mass quarks corresponding to $m_\pi \approx 470 \text{ MeV}$. We are able to determine the electromagnetic form factors of the pion and nucleon up to approximately $6 \text{ GeV}^2$, with results for $G_E/G_M$ in the proton agreeing well with experimental results.