skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Highly improved staggered quarks on the lattice with applications to charm physics

Abstract

We use perturbative Symanzik improvement to create a new staggered-quark action (HISQ) that has greatly reduced one-loop taste-exchange errors, no tree-level order a{sup 2} errors, and no tree-level order (am){sup 4} errors to leading order in the quark's velocity v/c. We demonstrate with simulations that the resulting action has taste-exchange interactions that are 3-4 times smaller than the widely used ASQTAD action. We show how to bound errors due to taste exchange by comparing ASQTAD and HISQ simulations, and demonstrate with simulations that such errors are likely no more than 1% when HISQ is used for light quarks at lattice spacings of 1/10 fm or less. The suppression of (am){sup 4} errors also makes HISQ the most accurate discretization currently available for simulating c quarks. We demonstrate this in a new analysis of the {psi}-{eta}{sub c} mass splitting using the HISQ action on lattices where am{sub c}=0.43 and 0.66, with full-QCD gluon configurations (from MILC). We obtain a result of 111(5) MeV which compares well with the experiment. We discuss applications of this formalism to D physics and present our first high-precision results for D{sub s} mesons.

Authors:
; ;  [1];  [2];  [3];  [4];  [5];  [6]
  1. Department of Physics and Astronomy, University of Glasgow, Glasgow (United Kingdom)
  2. Department Applied Maths and Theoretical Physics, Cambridge University, Cambridge (United Kingdom)
  3. Southern Methodist University, Dallas, Texas 75275 (United States)
  4. Laboratory for Elementary-Particle Physics, Cornell University, Ithaca, New York 14853 (United States)
  5. Physics Department, Ohio State University, Columbus, Ohio 43210 (United States)
  6. Physics Department, Simon Fraser University, Vancouver, British Columbia (Canada)
Publication Date:
OSTI Identifier:
21020082
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevD.75.054502; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ACCURACY; ACTION INTEGRAL; C QUARKS; COMPARATIVE EVALUATIONS; D QUARKS; D S MESONS; ERRORS; EXCHANGE INTERACTIONS; GLUONS; LATTICE FIELD THEORY; MEV RANGE; QUANTUM CHROMODYNAMICS; U QUARKS

Citation Formats

Follana, E., Davies, C., Wong, K., Mason, Q., Hornbostel, K., Lepage, G. P., Shigemitsu, J., and Trottier, H. Highly improved staggered quarks on the lattice with applications to charm physics. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.054502.
Follana, E., Davies, C., Wong, K., Mason, Q., Hornbostel, K., Lepage, G. P., Shigemitsu, J., & Trottier, H. Highly improved staggered quarks on the lattice with applications to charm physics. United States. doi:10.1103/PHYSREVD.75.054502.
Follana, E., Davies, C., Wong, K., Mason, Q., Hornbostel, K., Lepage, G. P., Shigemitsu, J., and Trottier, H. Thu . "Highly improved staggered quarks on the lattice with applications to charm physics". United States. doi:10.1103/PHYSREVD.75.054502.
@article{osti_21020082,
title = {Highly improved staggered quarks on the lattice with applications to charm physics},
author = {Follana, E. and Davies, C. and Wong, K. and Mason, Q. and Hornbostel, K. and Lepage, G. P. and Shigemitsu, J. and Trottier, H.},
abstractNote = {We use perturbative Symanzik improvement to create a new staggered-quark action (HISQ) that has greatly reduced one-loop taste-exchange errors, no tree-level order a{sup 2} errors, and no tree-level order (am){sup 4} errors to leading order in the quark's velocity v/c. We demonstrate with simulations that the resulting action has taste-exchange interactions that are 3-4 times smaller than the widely used ASQTAD action. We show how to bound errors due to taste exchange by comparing ASQTAD and HISQ simulations, and demonstrate with simulations that such errors are likely no more than 1% when HISQ is used for light quarks at lattice spacings of 1/10 fm or less. The suppression of (am){sup 4} errors also makes HISQ the most accurate discretization currently available for simulating c quarks. We demonstrate this in a new analysis of the {psi}-{eta}{sub c} mass splitting using the HISQ action on lattices where am{sub c}=0.43 and 0.66, with full-QCD gluon configurations (from MILC). We obtain a result of 111(5) MeV which compares well with the experiment. We discuss applications of this formalism to D physics and present our first high-precision results for D{sub s} mesons.},
doi = {10.1103/PHYSREVD.75.054502},
journal = {Physical Review. D, Particles Fields},
number = 5,
volume = 75,
place = {United States},
year = {Thu Mar 01 00:00:00 EST 2007},
month = {Thu Mar 01 00:00:00 EST 2007}
}