Hadronic vacuum polarization contributions to the muon $g$-2 in the space-like region

TL;DR

This paper provides analytic formulas for calculating the hadronic vacuum polarization contribution to the muon g-2 in the space-like region, facilitating lattice QCD and scattering data analyses, including upcoming experiments.

Contribution

It introduces simple analytic expressions for the hadronic vacuum polarization contribution in the space-like region up to NNLO, aiding theoretical and experimental computations.

Findings

Analytic expressions enable efficient calculations.

Results applicable to lattice QCD and scattering data.

Supports upcoming MUonE experiment analyses.

Abstract

We present simple analytic expressions to compute the hadronic vacuum polarization contribution to the muon $g$-2 in the space-like region up to next-to-next-to-leading order. These results can be employed in lattice QCD calculations of this contribution as well as in space-like determinations based on scattering data, like that expected from the proposed MUonE experiment at CERN.