# Lattice calculations and the muon anomalous magnetic moment

## TL;DR

This paper reviews recent progress in lattice calculations of hadronic contributions to the muon anomalous magnetic moment, aiming to reduce theoretical uncertainties and resolve discrepancies with experimental measurements.

## Contribution

It presents new lattice calculation results for hadronic contributions to improve the theoretical prediction of $a_{}$.

## Key findings

- Lattice calculations are increasingly precise in estimating hadronic effects.
- Recent results help narrow the gap between theory and experiment.
- Progress supports potential resolution of the muon g-2 discrepancy.

## Abstract

Anomalous magnetic moment of the muon, $a_{\mu}=(g_{\mu}-2)/2$, is one of the most precisely measured quantities in particle physics and it provides a stringent test of the Standard Model. The planned improvements of the experimental precision at Fermilab and at J-PARC propel further reduction of the theoretical uncertainty of $a_{\mu}$. The hope is that the efforts on both sides will help resolve the current discrepancy between the experimental measurement of $a_{\mu}$ and its theoretical prediction, and potentially gain insight into new physics. The dominant sources of the uncertainty in the theoretical prediction of $a_{\mu}$ are the errors of the hadronic contributions. I will discuss recent progress on determination of hadronic contributions to $a_{\mu}$ from lattice calculations.