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Renormalization constants for 2-twist operators in twisted mass QCD
Renormalization constants for 2-twist operators in twisted mass QCD
- Source :
- Physical Review D-Particles, Fields, Gravitation and Cosmology, Phys Rev D Part Fields Gravit Cosmol
- Publication Year :
- 2011
-
Abstract
- 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.<br />Comment: ETM Collaboration, 25 pages, 15 figures. Improvement on the continuum extrapolation and clarification on the estimate of the systematic errors. Typos corrected
- Subjects :
- Physics
Quantum chromodynamics
Nuclear and High Energy Physics
Particle physics
High Energy Physics::Lattice
High Energy Physics - Lattice (hep-lat)
Lattice field theory
FOS: Physical sciences
Inverse
Gluon
Renormalization
High Energy Physics - Phenomenology
High Energy Physics - Lattice
High Energy Physics - Phenomenology (hep-ph)
Lattice gauge theory
Quantum field theory
Twist
Subjects
Details
- Database :
- OpenAIRE
- Journal :
- Physical Review D-Particles, Fields, Gravitation and Cosmology, Phys Rev D Part Fields Gravit Cosmol
- Accession number :
- edsair.doi.dedup.....e3e8e06eaddd51ce043c8ea1665bfa51