$N_f = 2+1+1$ flavours of twisted mass quarks: cut-off effects at tree-level of perturbation theory

Details $N_f = 2+1+1$ flavours of twisted mass quarks: cut-off effects at tree-level of perturbation theory $N_f = 2+1+1$ flavours of twisted mass quarks: cut-off effects at tree-level of perturbation theory

2010-12-22

arxiv.org/abs/1012.5047v2

Nucl.Phys.B847:17-37,2011

Physics

High Energy Physics

High Energy Physics - Lattice

25 pages, 7 figures, final version to appear in Nucl. Phys. B, new appendix added, minor changes

Scientific paper

10.1016/j.nuclphysb.2011.01.018

We present a calculation of cut-off effects at tree-level of perturbation theory for the K and D mesons using the twisted mass formulation of lattice QCD. The analytical calculations are performed in the time-momentum frame. The relative sizes of cut-off effects are compared for the pion, the kaon and the D meson masses. In addition, different realizations of maximal twist condition are considered and the corresponding cut-off effects are analyzed.

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