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Title: Relations between heavy-light meson and quark masses

Abstract

Here, 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.

Authors:
; ; ; ;
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Contributing Org.:
TUMQCD Collaboration
OSTI Identifier:
1419818
Alternate Identifier(s):
OSTI ID: 1415636
Report Number(s):
FERMILAB-PUB-17-490-T; TUM-EFT-105-17; arXiv:1712.04983
Journal ID: ISSN 2470-0010; PRVDAQ; 034503
Grant/Contract Number:  
AC02-07CH11359
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 3; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Brambilla, N., Komijani, J., Kronfeld, A. S., Vairo, A., and TUMQCD Collaboration. Relations between heavy-light meson and quark masses. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.97.034503.
Brambilla, N., Komijani, J., Kronfeld, A. S., Vairo, A., & TUMQCD Collaboration. Relations between heavy-light meson and quark masses. United States. doi:10.1103/PhysRevD.97.034503.
Brambilla, N., Komijani, J., Kronfeld, A. S., Vairo, A., and TUMQCD Collaboration. Wed . "Relations between heavy-light meson and quark masses". United States. doi:10.1103/PhysRevD.97.034503.
@article{osti_1419818,
title = {Relations between heavy-light meson and quark masses},
author = {Brambilla, N. and Komijani, J. and Kronfeld, A. S. and Vairo, A. and TUMQCD Collaboration},
abstractNote = {Here, 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.},
doi = {10.1103/PhysRevD.97.034503},
journal = {Physical Review D},
number = 3,
volume = 97,
place = {United States},
year = {2018},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.97.034503

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Cited by: 5 works
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