Non-perturbative renormalization of quark bilinear operators with Nf=2 (tmQCD) Wilson fermions and the tree-level improved gauge action

Abstract

We present results for the renormalization constants of bilinear quark operators obtained by using the tree-level Symanzik improved gauge action and the Nf=2 twisted mass fermion action at maximal twist, which guarantees automatic O(a)-improvement. Our results are also relevant for the corresponding standard (un-twisted) Wilson fermionic action since the two actions only differ, in the massless limit, by a chiral rotation of the quark fields. The scale-independent renormalization constants ZV, ZA and the ratio ZP/ZS have been computed using the RI-MOM approach, as well as other alternative methods. For ZA and ZP/ZS, the latter are based on both standard twisted mass and Osterwalder-Seiler fermions, while for ZV a Ward Identity has been used. The quark field renormalization constant Zq and the scale dependent renormalization constants ZS, ZP and ZT are determined in the RI-MOM scheme. Leading discretization effects of O(g^2 a^2), evaluated in one-loop perturbation theory, are explicitly subtracted from the RI-MOM estimates.

31 pages, 11 figures

References in corpus (7)

• Light Meson Physics from Maximally Twisted Mass Lattice QCD
• Electromagnetic form factor of the pion from twisted-mass lattice QCD at Nf=2
• Perturbative and Nonperturbative Renormalization in Lattice QCD
• O(a^2) corrections to the one-loop propagator and bilinears of clover fermions with Symanzik improved gluons
• Lattice QCD with two light Wilson quarks and maximally twisted mass
• Renormalisation of quark bilinears with Nf=2 Wilson fermions and tree-level improved gauge action
• Cutoff effects in maximally twisted LQCD

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