• Open Access

Relations between heavy-light meson and quark masses

N. Brambilla, J. Komijani, A. S. Kronfeld, and A. Vairo (TUMQCD Collaboration)
Phys. Rev. D 97, 034503 – Published 7 February 2018

Abstract

The study of heavy-light meson masses should provide a way to determine renormalized quark masses and other properties of heavy-light mesons. In the context of lattice QCD, for example, it is possible to calculate hadronic quantities for arbitrary values of the quark masses. In this paper, we address two aspects relating heavy-light meson masses to the quark masses. First, we introduce a definition of the renormalized quark mass that is free of both scale dependence and renormalon ambiguities, and discuss its relation to more familiar definitions of the quark mass. We then show how this definition enters a merger of the descriptions of heavy-light masses in heavy-quark effective theory and in chiral perturbation theory (χPT). For practical implementations of this merger, we extend the one-loop χPT corrections to lattice gauge theory with heavy-light mesons composed of staggered fermions for both quarks. Putting everything together, we obtain a practical formula to describe all-staggered heavy-light meson masses in terms of quark masses as well as some lattice artifacts related to staggered fermions. In a companion paper, we use this function to analyze lattice-QCD data and extract quark masses and some matrix elements defined in heavy-quark effective theory.

  • Received 15 December 2017

DOI:https://doi.org/10.1103/PhysRevD.97.034503

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

N. Brambilla1,2, J. Komijani1,2,*, A. S. Kronfeld2,3, and A. Vairo1 (TUMQCD Collaboration)

  • 1Physik-Department, Technische Universität München, James-Franck-Straße 1, 85748 Garching, Germany
  • 2Institute for Advanced Study, Technische Universität München, Lichtenbergstraße 2a, 85748 Garching, Germany
  • 3Theoretical Physics Department, Fermi National Accelerator Laboratory, Batavia, Illinois 60510, USA

  • *Present address: School of Physics and Astronomy, University of Glasgow, Glasgow G12 8QQ, United Kingdom.

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Issue

Vol. 97, Iss. 3 — 1 February 2018

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