Heavy and Light Quarks with Lattice Chiral Fermions

Abstract

The feasibility of using lattice chiral fermions which are free of $O(a)$ errors for both the heavy and light quarks is examined. The fact that the effective quark propagators in these fermions have the same form as that in the continuum with the quark mass being only an additive parameter to a chirally symmetric antihermitian Dirac operator is highlighted. This implies that there is no distinction between the heavy and light quarks and no mass dependent tuning of the action or operators as long as the discretization error $O(m^2{a}^2)$ is negligible. Using the overlap fermion, we find that the $O(m^2{a}^2)$ (and $O(m{a}^2)$) errors in the dispersion relations of the pseudoscalar and vector mesons and the renormalization of the axial-vector current and scalar density are small. This suggests that the applicable range of $ma$ may be extended to $\sim 0.56$ with only 5% error, which is a factor of $\sim 2.4$ larger than that of the improved Wilson action. We show that the generalized Gell-Mann-Oakes-Renner relation with unequal masses can be utilized to determine the finite $ma$ errors in the renormalization of the matrix elements for the heavy-light decay constants and semileptonic decay constants of the B/D meson.

final version to appear in Int. Jou. Mod. Phys. A

References in corpus (10)

• Non-perturbative Renormalisation of Domain Wall Fermions: Quark Bilinears
• Testing the fixed-point QCD action and the construction of chiral currents
• Scalar Particles in Lattice QCD
• Domain wall fermions with improved gauge actions
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• Heavy quark action on the anisotropic lattice

Cited by in corpus (25)

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• Strangeness and charmness content of nucleon from overlap fermions on 2+1-flavor domain-wall fermion configurations
• Quark spins and Anomalous Ward Identity
• Overlap Valence on 2+1 Flavor Domain Wall Fermion Configurations with Deflation and Low-mode Substitution
• Self-Renormalization of Quasi-Light-Front Correlators on the Lattice
• Charm and strange quark masses and $f_{D_s}$ from overlap fermions
• Lattice Calculation of Pion Form Factor with Overlap Fermions
• Lattice Calculation of Nucleon Isovector Axial Charge with Improved Currents
• Stochastic method with low mode substitution for nucleon isovector matrix elements
• Meson Mass Decomposition from Lattice QCD
• RI/MOM renormalization of the quasi-PDF in lattice regularization
• Non-perturbative renormalization of overlap quark bilinears on 2+1-flavor domain wall fermion configurations
• Trace anomaly form factors from lattice QCD
• A Demonstration of Hadron Mass Origin from QCD Trace Anomaly
• Ratio of strange to $u/d$ momentum fraction in disconnected insertions
• RI/MOM and RI/SMOM renormalization of quark bilinear operators using overlap fermions
• Distance between various discretized fermion actions
• Charmonium Spectrum from Quenched QCD with Overlap Fermions
• Nucleon isovector scalar charge from overlap fermions
• Lattice QCD and the Neutron Electric Dipole Moment
• Proton mass decomposition
• Massive Overlap Fermions on Anisotropic Lattices
• Proton momentum and angular momentum decompositions with overlap fermions
• Linking continuum and lattice quark mass functions via an effective charge