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A perturbative determination of mass dependent O(a) improvement coefficients in a relativistic heavy quark action

2003/09/25 by Sinya Aoki, Yasuhisa Kayaba, Y. Kuramashi +1 · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.1016/j.nuclphysb.2004.07.017

published as Nucl.Phys. B697 (2004) 271-301 · 41 pages, 6 figures as eps-file

arxiv created 2003/09/25 · openalex publication_date 2004/08/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We present the results for a perturbative determination of mass dependent improvement coefficients ν, rs, cE and cB in a relativistic heavy quark action, which we have designed to control mQa errors by extending the on-shell O(a) improvement program to the case of mQ ≫ Λ\rm QCD, where mQ is the heavy quark mass. The parameters ν and rs are determined from the quark propagator and cE and cB are from the on-shell quark-quark scattering amplitude. We show that all the parameters, together with the quark wave function and the mass renormalization factors, are determined free from infrared divergences once their tree level values are properly tuned. Results of these parameters are shown as a function of mQ a for various improved gauge actions.

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