Pseudofermion observables for static heavy meson decay constants on the lattice

TL;DR

This paper introduces a Monte Carlo inversion method for calculating static heavy meson decay constants on the lattice, reducing noise and systematic errors compared to traditional smearing techniques.

Contribution

The authors present a novel Monte Carlo inversion approach that improves efficiency and accuracy in lattice QCD calculations of heavy meson decay constants in the static limit.

Findings

Low noise results for decay constant correlations

Reduced systematic errors from smearing volume optimization

Enhanced efficiency for explored lattice parameters

Abstract

A method based on the Monte Carlo inversion of the Dirac operator on the lattice provides low noise results for the correlations entering the definition of the heavy meson decay constant in the static limit. The method is complementary to the usual method of smeared sources, avoids the systematic error arising from optimizing the size of the smearing volume and is more efficient for the values of lattice parameters that we have explored.