Hopping Parameter Expansion for Heavy-Light Systems

TL;DR

This paper introduces a technique based on hopping parameter expansion that allows efficient calculation of heavy-light meson properties as functions of heavy-quark mass, compatible with standard lattice QCD methods.

Contribution

It presents a novel analytic approach for heavy-light two-point functions using hopping parameter expansion, compatible with existing lattice QCD techniques.

Findings

Masses of heavy-light pseudoscalar and vector mesons agree with published data.

Method works with smeared operators and improved actions.

Calculations performed on 16^3x48 lattices at beta=6.2.

Abstract

We present a technique which permits the calculation of two-point functions of operators containing one heavy quark and an arbitrary number of light quarks as analytic functions of the heavy-quark mass. It is based on the standard Jacobi linear solver used for the calculation of quark propagators. Results for the heavy-light pseudoscalar and vector meson masses are obtained on 16^3x48 lattices at beta = 6.2 using the Wilson fermion action, and agree with published data. The incorporation of smeared operators and $O(a)$-improved actions presents no problems.