Perturbative Renormalization Factors of Bilinear Quark Operators for Improved Gluon and Quark Actions in Lattice QCD

Abstract

We calculate one-loop renormalization factors of bilinear quark operators for gluon action including six-link loops and $O(a)$-improved quark action in the limit of massless quark. We find that finite parts of one-loop coefficients of renormalization factors diminish monotonically as either of the coefficients $c_1$ or $c_2+c_3$ of the six-link terms are decreased below zero. Detailed numerical results are given, for general values of the clover coefficient, for the tree-level improved gluon action in the Symanzik approach $(c_1=-1/12,c_2=c_3=0)$ and for the choices suggested by Wilson $(c_1=-0.252,c_2=0,c_3=-0.17)$ and by Iwasaki $(c_1=-0.331,c_2=c_3=0$ and $c_1=-0.27,c_2+c_3=-0.04)$ from renormalization-group analyses. Compared with the case of the standard plaquette gluon action, finite parts of one-loop coefficients are reduced by 10--20% for the Symanzik action, and approximately by a factor two for the renormalization-group improved gluon actions.

19 pages, REVTeX, with 3 epsf figures

References in corpus (4)

• The Self-Energy of Massive Lattice Fermions
• Hadron spectroscopy and static quark potential in full QCD: A comparison of improved actions on the CP-PACS
• Perturbative Renormalization of Improved Lattice Operators
• Full QCD simulation on CP-PACS

Cited by in corpus (49)

• 2+1 Flavor Lattice QCD toward the Physical Point
• Light Hadron Spectroscopy with Two Flavors of Dynamical Quarks on the Lattice
• Leading isospin breaking effects on the lattice
• Electromagnetic and strong isospin-breaking corrections to the muon $g-2$ from Lattice QCD+QED
• Light hadron spectroscopy with two flavors of $O(a)$-improved dynamical quarks
• Light-meson leptonic decay rates in lattice QCD+QED
• Non-perturbative renormalization of quark bilinear operators with Nf=2 (tmQCD) Wilson fermions and the tree-level improved gauge action
• Leading isospin-breaking corrections to pion, kaon and charmed-meson masses with Twisted-Mass fermions
• High precision renormalization of the flavour non-singlet Noether currents in lattice QCD with Wilson quarks
• Properties of light scalar mesons from lattice QCD
• Light quark masses from unquenched lattice QCD
• Chiral perturbation theory with Wilson-type fermions including $a^2$ effects: $N_f=2$ degenerate case
• Dynamical Quark Effects on Light Quark Masses
• O(a^2) corrections to the one-loop propagator and bilinears of clover fermions with Symanzik improved gluons
• Two-loop renormalization of vector, axial-vector and tensor fermion bilinears on the lattice
• Scattering lengths for two pseudoscalar meson systems
• Computation of the improvement coefficient $c_{\mathrm{sw}}$ to 1-loop with improved gluon actions
• Strange and charm HVP contributions to the muon ($g-2)$ including QED corrections with twisted-mass fermions
• Decay constants of B and D mesons from improved relativistic lattice QCD with two flavours of sea quarks
• Perturbative renormalization factors in domain-wall QCD with improved gauge actions
• Sea Quark Effects on Quarkonia
• One loop calculation of SUSY Ward-Takahashi identity on lattice with Wilson fermion
• O(a)-improved quark action on anisotropic lattices and perturbative renormalization of heavy-light currents
• A Perturbative Determination of Mass Dependent $O(a)$ Improvement Coefficients in a Relativistic Heavy Quark Action
• One-Loop Matching of the Heavy-Light A_0 and V_0 Currents with NRQCD Heavy and Improved Naive Light Quarks
• Light hadron spectroscopy in two-flavor QCD with small sea quark masses
• Two-loop renormalization of scalar and pseudoscalar fermion bilinears on the lattice
• Non-perturbative renormalization of the axial current in $N_f=3$ lattice QCD with Wilson fermions and tree-level improved gauge action
• One-Loop Self Energy and Renormalization of the Speed of Light for some Anisotropic Improved Quark Actions
• First Nonperturbative Test of a Relativistic Heavy Quark Action in Quenched Lattice QCD
• M_pi^2 versus m_q: comparing CP-PACS and UKQCD data to Chiral Perturbation Theory
• Determination of the Improvement Coefficient c_SW up to One-Loop Order with the Conventional Perturbation Theory
• Perturbative Determination of Mass Dependent $O(a)$ Improvement Coefficients for the Vector and Axial Vector Currents with a Relativistic Heavy Quark Action
• Non-perturbative determination of improvement coefficients b_m and b_A-b_P and normalisation factor Z_m*Z_P/Z_A with N_f=3 Wilson fermions
• Perturbative renormalization factors and O(a^2) corrections for lattice 4-fermion operators with improved fermion/gluon actions
• On internal structure of the heavy-light mesons
• The renormalised $\mathrm{O}(a)$ improved vector current in three-flavour lattice QCD with Wilson quarks
• Two dimensional lattice Gross--Neveu model with domain-wall fermions
• High-loop perturbative renormalization constants for Lattice QCD (II): three-loop quark currents for tree-level Symanzik improved gauge action and n_f=2 Wilson fermions
• Ratio of flavour non-singlet and singlet scalar density renormalisation parameters in $N_{\mathrm{f}}=3$ QCD with Wilson quarks
• Propagators on One-Loop Worldsheets for Orientifolds and Intersecting Branes
• High-loop perturbative renormalization constants for Lattice QCD (III): three-loop quark currents for Iwasaki gauge action and n_f=4 Wilson fermions
• Lattice renormalisation of O(a) improved heavy-light operators: an addendum
• High loop renormalization constants by NSPT: a status report
• Light hadron spectrum and quark masses in 2+1 flavor QCD
• Perturbative Renormalization Factors of Baryon Number Violating Operators for Improved Quark and Gauge Actions in Lattice QCD
• Perturbative chiral violations for domain-wall QCD with improved gauge actions
• Non-perturbative renormalization of meson decay constants in quenched QCD for a renormalization group improved gauge action
• O(a^2) corrections to the propagator and bilinears of Wilson / clover fermions