Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2010-06-09
Phys.Rev.D83:014503,2011
Physics
High Energy Physics
High Energy Physics - Lattice
ETM Collaboration, 25 pages, 15 figures. Improvement on the continuum extrapolation and clarification on the estimate of the s
Scientific paper
10.1103/PhysRevD.83.014503
Perturbative and non-perturbative results on the renormalization constants of the fermion field and the twist-2 fermion bilinears are presented with emphasis on the non-perturbative evaluation of the one-derivative twist-2 vector and axial vector operators. Non-perturbative results are obtained using the twisted mass Wilson fermion formulation employing two degenerate dynamical quarks and the tree-level Symanzik improved gluon action. The simulations have been performed for pion masses in the range of about 450-260 MeV and at three values of the lattice spacing $a$ corresponding to $\beta=3.9, 4.05, 4.20$. Subtraction of ${\cal O}(a^2)$ terms is carried out by performing the perturbative evaluation of these operators at 1-loop and up to ${\cal O}(a^2)$. The renormalization conditions are defined in the RI$'$-MOM scheme, for both perturbative and non-perturbative results. The renormalization factors, obtained for different values of the renormalization scale, are evolved perturbatively to a reference scale set by the inverse of the lattice spacing. In addition, they are translated to ${\bar{\rm MS}}$ at 2 GeV using 3-loop perturbative results for the conversion factors.
Alexandrou Constantia
Constantinou Martha
Korzec Tomasz
Panagopoulos Haralambos
Stylianou Fotos
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