Charm physics with highly improved staggered quarks

TL;DR

This paper employs a highly improved staggered quark action to discretize charm quarks on the lattice, achieving low discretization errors and enabling precise calculations of meson properties and decay constants.

Contribution

It introduces an improved lattice discretization method for charm quarks and demonstrates its effectiveness in reducing errors in meson mass and decay constant calculations.

Findings

Discretization errors are at the few percent level for lattice spacings below 0.1 fm.

The method enables accurate calculations of f_Ds, f_D, and leptonic widths of psi and phi.

Potential for high-precision charm physics calculations on the lattice.

Abstract

We use a relativistic highly improved staggered quark action to discretize charm quarks on the lattice. We calculate the masses and the dispersion relation for heavy-heavy and heavy-light meson states, and show that for lattice spacings below .1 fm, the discretization errors are at the few percent level. We also discuss the prospects for accurate calculations at the few percent level of f_D_s, f_D, and the leptonic width of the psi and phi.