An Improved Action for Heavy Quarks

We extend the Fermilab method for heavy quarks to include all interactions of dimension six in the action. We discuss a subtlety in the power counting, which implies that, for heavy quarks, certain interactions of dimension seven are commensurate with some of those of dimension six. We then present...

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Published in:arXiv.org 2006-10
Main Authors: Kronfeld, Andreas S, Oktay, Mehmet B
Format: Article
Language:English
Subjects:
Elastic scattering
Lattice matching
Quantum chromodynamics
Quarks
Scattering amplitude
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description We extend the Fermilab method for heavy quarks to include all interactions of dimension six in the action. We discuss a subtlety in the power counting, which implies that, for heavy quarks, certain interactions of dimension seven are commensurate with some of those of dimension six. We then present tree-level matching conditions obtained from calculating the Compton scattering amplitude for (lattice) QCD. When the matching conditions have been applied, the improved action removes (tree-level) discretization errors of order \(a^2\bm{p}^3/m_Q\) and \(a^3\bm{p}^3\).
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subjects Elastic scattering
Lattice matching
Quantum chromodynamics
Quarks
Scattering amplitude
title An Improved Action for Heavy Quarks
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