Current correlators in the coordinate space at short distances

TL;DR

This paper computes vector and axial-vector current correlators in coordinate space using lattice QCD with Mobius domain-wall fermions and compares them with experimental tau decay data, achieving good agreement after continuum extrapolation.

Contribution

It provides a lattice QCD calculation of current correlators in coordinate space and validates them against experimental spectral functions, including continuum limit analysis.

Findings

Lattice correlators agree with experimental data after continuum extrapolation

Good consistency between lattice and experimental correlators at short distances

Demonstrates the effectiveness of Mobius domain-wall fermions in such calculations

Abstract

We calculate the vector and axial-vector current correlators in the coordinate space and compare them with the experimental information obtained through the spectral functions of hadronic tau decays measured by ALEPH. Lattice data are obtained with 2+1 Mobius domain-wall fermions at three lattice spacings 0.044, 0.055 and 0.080 fm and the continuum limit is taken. The correlators calculated on the lattice after extrapolating to the physical point agree with those converted from the ALEPH data.