Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2003-09-25
Nucl.Phys. B697 (2004) 271-301
Physics
High Energy Physics
High Energy Physics - Lattice
41 pages, 6 figures as eps-file
Scientific paper
10.1016/j.nuclphysb.2004.07.017
We present the results for a perturbative determination of mass dependent improvement coefficients $\nu$, $r_s$, $c_E$ and $c_B$ in a relativistic heavy quark action, which we have designed to control $m_Qa$ errors by extending the on-shell $O(a)$ improvement program to the case of $m_Q \gg \Lambda_{\rm QCD}$, where $m_Q$ is the heavy quark mass. The parameters $\nu$ and $r_s$ are determined from the quark propagator and $c_E$ and $c_B$ 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 $m_Q a$ for various improved gauge actions.
Aoki Sinya
Kayaba Yasuhisa
Kuramashi Yoshinobu
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