An Improved Action for Heavy Quarks

Details An Improved Action for Heavy Quarks An Improved Action for Heavy Quarks

2006-10-10

arxiv.org/abs/hep-lat/0610069v1

PoSLAT2006:159,2006

Physics

High Energy Physics

High Energy Physics - Lattice

1+5 pp., contribution to Lattice 2006(Quark Masses, Gauge Couplings, and Renormalization)

Scientific paper

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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