Renormalization constants for 2-twist operators in twisted mass QCD

Journal Article · Fri Dec 31 23:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.014503· OSTI ID:21503885

Alexandrou, C ^[1]; Constantinou, M; Panagopoulos, H; Stylianou, F ^[1]; Korzec, T ^[2]

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1. Department of Physics, University of Cyprus, PoB 20537, 1678 Nicosia (Cyprus)
2. Institut fuer Physik, Humboldt Universitaet zu Berlin, Newtonstrasse 15, 12489 Berlin (Germany)

Perturbative and nonperturbative results on the renormalization constants of the fermion field and the twist-2 fermion bilinears are presented with emphasis on the nonperturbative evaluation of the one-derivative twist-2 vector and axial-vector operators. Nonperturbative 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 O(a{sup 2}) terms is carried out by performing the perturbative evaluation of these operators at 1-loop and up to O(a{sup 2}). The renormalization conditions are defined in the RI{sup '}-MOM scheme, for both perturbative and nonperturbative 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 MS at 2 GeV using 3-loop perturbative results for the conversion factors.

• OSTI ID: 21503885
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 1 Vol. 83; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CONSTRUCTIVE FIELD THEORY
CONVERSION
ELEMENTARY PARTICLES
ENERGY RANGE
EVALUATION
FERMIONS
FIELD THEORIES
GEV RANGE
GEV RANGE 01-10
GLUONS
HADRONS
LATTICE FIELD THEORY
MASS
MESONS
MEV RANGE
MEV RANGE 100-1000
PERTURBATION THEORY
PIONS
PSEUDOSCALAR MESONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARKS
RENORMALIZATION
SIMULATION