Charm Current-Current Correlators in Twisted Mass Lattice QCD

TL;DR

This paper investigates charm current-current correlators in Twisted Mass Lattice QCD to extract charm quark mass and strong coupling constant, offering an alternative to sum rule methods and comparing different approaches.

Contribution

It presents progress in calculating charm correlators in Twisted Mass Lattice QCD and compares lattice results with perturbative QCD for the first time.

Findings

Determined temporal moments of charm current correlators.

Compared lattice and perturbative QCD results for charm quark mass and coupling.

Validated the effectiveness of the current correlator method as an alternative to sum rules.

Abstract

The current correlator method has been shown to be a practical tool to extract the charm quark mass and strong coupling constant from Lattice QCD data as an alternative to the sum rule approach using experimental electron-positron annihilation cross section data. We report on the progress of an investigation of charm current-current correlators in N_f=2 Twisted Mass Lattice QCD. Upon determining the temporal moments of the current correlators we compare to the low-energy expansion of the moments in perturbative QCD and calculate the charm quark mass and strong coupling constant and in case of the vector current correlator directly compare both methods.