Nf=2+1+1 flavours of twisted mass quarks: cut-off effects at tree-level of perturbation theory
E. V. Luschevskaya1,2 , K. Cichy3
1 ITEP, B. Cheremushkinskaya str. 25, Moscow 117218, Russia
2 NIC, DESY, Platanenallee 6, D-15738 Zeuthen, Germany
3 Faculty of Physics, Adam Mickiewicz University, ul. Umultowska 85, PL 61-614 Poznań, Poland
Nuclear Physics, B847, 17-37 (2011)
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.