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On-shell improvement of the massive Wilson quark action

S. Aoki·Y. Kayaba·Y. Kuramashi·N. Yamada
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Abstract

We review a relativistic approach to the heavy quark physics in lattice QCD by applying a relativistic $O(a)$ improvement to the massive Wilson quark action on the lattice. After explaining how power corrections of $m_Q a$ can be avoided and remaining uncertainties are reduced to be of order $(aΛ_{\rm QCD})^2$, we demonstrate a determination of four improvement coefficients in the action up to one-loop level in a mass dependent way. We also show a perturbative determination of mass dependent renormalization factors and $O(a)$ improvement coefficients for the vector and axial vector currents. Some preliminary results of numerical simulations are also presented.

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S. Aoki, Y. Kayaba, Y. Kuramashi, N. Yamada. 2004-09-01. On-shell improvement of the massive Wilson quark action. https://arxiv.org/abs/hep-lat/0409001

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