Order a improved renormalization constants

Abstract

We present non-perturbative results for the constants needed for on-shell $O(a)$ improvement of bilinear operators composed of Wilson fermions. We work at $\beta =6.0$ and 6.2 in the quenched approximation. The calculation is done by imposing axial and vector Ward identities on correlators similar to those used in standard hadron mass calculations. A crucial feature of the calculation is the use of non-degenerate quarks. We also obtain results for the constants needed for off-shell $O(a)$ improvement of bilinears, and for the scale and scheme independent renormalization constants, (Z_A), (Z_V) and (Z_S/Z_P). Several of the constants are determined using a variety of different Ward identities, and we compare their relative efficacies. In this way, we find a method for calculating $c_V$ that gives smaller errors than that used previously. Wherever possible, we compare our results with those of the ALPHA collaboration (who use the Schrödinger functional) and with 1-loop tadpole-improved perturbation theory.

48 pages. Modified "axis" source for figures also included. Typos corrected (version published in Phys. Rev. D)

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Cited by in corpus (54)

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• Heavy --> Light semileptonic decays of pseudoscalar mesons from lattice QCD
• Improved bilinears in lattice QCD with non-degenerate quarks
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• Coupling of the light vector meson to the vector and to the tensor current
• Decay Constants of B and D Mesons from Non-perturbatively Improved Lattice QCD
• Lattice Calculation of Heavy-Light Decay Constants with Two Flavors of Dynamical Quarks
• Properties of light scalar mesons from lattice QCD
• Heavy quark physics from lattice QCD
• Standard Model Matrix Elements for Neutral B-Meson Mixing and Associated Decay Constants
• g(B*Bpi)-coupling in the static heavy quark limit
• A precise determination of the charm quark's mass in quenched QCD
• First lattice QCD estimate of the g_{D^* D pi} coupling
• The decay constant of the first excited pion from lattice QCD
• Lattice measurement of the couplings g_infinity and g_Bstar_B_pi
• Master-field simulations of O(a)-improved lattice QCD: Algorithms, stability and exactness
• Non-perturbative renormalisation and improvement of the local vector current for quenched and unquenched Wilson fermions
• First Lattice QCD Study of the Sigma -> n Axial and Vector Form Factors with SU(3) Breaking Corrections
• Renormalization Constants of Quark Operators for the Non-Perturbatively Improved Wilson Action
• An estimate of the chiral condensate from unquenched lattice QCD
• A precise determination of $B_K$ in quenched QCD
• Pion structure from improved lattice QCD: form factor and charge radius at low masses
• Heavy and Light Quarks with Lattice Chiral Fermions
• Automated generation of lattice QCD Feynman rules
• B to rho ell nu form factors in lattice QCD
• Charm Quark Mass
• Automatically generating Feynman rules for improved lattice field theories
• A lattice study of the spin structure of the Lambda hyperon
• Semi-leptonic decays of heavy mesons and the Isgur-Wise function in quenched lattice QCD
• Effective heavy-light meson energies in small-volume quenched QCD
• Decay constants of charm and beauty pseudoscalar heavy-light mesons on fine lattices
• Decay constants of P-wave heavy-light mesons from unquenched lattice QCD
• Scaling behavior of improvement and renormalization constants
• Precision study of B^* Bπcoupling for the static heavy-light meson
• 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
• Non-perturbative improvement of the axial current with three dynamical flavors and the Iwasaki gauge action
• Continuum Determination of Light Quark Masses from Quenched Lattice QCD
• Scaling behavior of discretization errors in renormalization and improvement constants
• Perturbative calculation of O(a) improvement coefficients
• Ratio of flavour non-singlet and singlet scalar density renormalisation parameters in $N_{\mathrm{f}}=3$ QCD with Wilson quarks
• A nonperturbative determination of the O(a) improvement coefficient c_A and the scaling of f_pi and m^{MSbar}
• Heavy Wilson Quarks and O($a$) Improvement: Nonperturbative Results for $b_{\mathrm{g}}$
• Renormalization constants using quark states in Landau gauge
• Improved bilinears in unquenched lattice QCD
• Renormalization Constants using Quark States in Fixed Gauge
• The charm quark mass with dynamical fermions
• The spin structure of the Lambda hyperon in quenched lattice QCD
• One-loop renormalization of heavy-light currents
• Heavy light decay constants on the lattice
• The effect of sea quarks on the mass of the charm quark from Lattice QCD
• Electromagnetic vertex function of the pion at T > 0