The leading hadronic contribution to (g-2) of the muon: The chiral behavior using the mixed representation method

TL;DR

This paper investigates the chiral behavior of the leading hadronic contribution to the muon's anomalous magnetic moment using lattice QCD, comparing the mixed representation and four-momentum methods near the physical pion mass.

Contribution

It extends previous analysis by applying the mixed representation method to study chiral behavior and compares it with the standard four-momentum approach using lattice data.

Findings

Consistent results between mixed representation and four-momentum methods near the physical point.

Identification of systematic differences as calculations approach the physical pion mass.

Enhanced understanding of chiral behavior in lattice QCD calculations of (g-2).

Abstract

We extend our analysis of the leading hadronic contribution to the anomalous magnetic moment of the muon using the mixed representation method to study its chiral behavior. We present results derived from local-conserved two-point lattice vector correlation functions, computed on a subset of light two-flavor ensembles made available to us through the CLS effort with pion masses as low as 190 MeV. The data is analyzed also using the more standard four-momentum method. Both methods are systematically compared as the calculations approach the physical point.