Abstract
We present results for the renormalization constants of bilinear quark operators obtained by using the tree-level Symanzik improved gauge action and the N f = 2 twisted mass fermion action at maximal twist, which guarantees automatic \( \mathcal{O} \)(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 Z V , Z A and the ratio Z P /Z S have been computed using the RI-MOMapproach, as well as other alternative methods. For Z A and Z P /Z S , the latter are based on both standard twisted mass and Osterwalder-Seiler fermions, while for Z V a Ward Identity has been used. The quark field renormalization constant Z q and the scale dependent renormalization constants Z S , Z P and Z T are determined in the RI-MOM scheme. Leading discretization effects of \( \mathcal{O}\left( {{g^2}{a^2}} \right) \), evaluated in one-loop perturbation theory, are explicitly subtracted from the RI-MOM estimates.
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ArXiv ePrint: 1004.1115
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European Twisted Mass collaboration., Constantinou, M., Dimopoulos, P. et al. Non-perturbative renormalization of quark bilinear operators with N f = 2 (tmQCD) Wilson fermions and the tree-level improved gauge action. J. High Energ. Phys. 2010, 68 (2010). https://doi.org/10.1007/JHEP08(2010)068
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DOI: https://doi.org/10.1007/JHEP08(2010)068