# Lorentz-covariant coordinate-space representation of the leading hadronic contribution to the anomalous magnetic moment of the muon

## TL;DR

This paper introduces a Lorentz-covariant coordinate-space formulation for calculating the leading hadronic contribution to the muon's anomalous magnetic moment, enhancing lattice QCD computations especially for disconnected diagrams.

## Contribution

It provides a new Lorentz-covariant coordinate-space representation for key quantities in muon g-2 calculations, improving flexibility and potential accuracy in lattice QCD.

## Key findings

- New coordinate-space expression for hadronic vacuum polarization
- Enhanced approach for lattice QCD implementation
- Potentially improved calculation of disconnected contributions

## Abstract

We present a Lorentz-covariant, Euclidean coordinate-space expression for the hadronic vacuum polarisation, the Adler function and the leading hadronic contribution to the anomalous magnetic moment of the muon. The representation offers a lot of flexibility for an implementation in lattice QCD. We expect it to be particularly helpful for the quark-line disconnected contributions.