Radiative Corrections to the Kinetic Couplings in Nonrelativistic Lattice QCD

Abstract

The heavy-quark mass and wave function renormalizations, energy shift, and radiative corrections to two important couplings, the so-called kinetic couplings, in nonrelativistic lattice QCD are determined to leading order in tadpole-improved perturbation theory. The scales at which to evaluate the running QCD coupling for these quantities, except the wave function renormalization, are obtained using the Lepage-Mackenzie prescription. When the bare quark mass is greater than the inverse lattice spacing, the kinetic coupling corrections are roughly 10\% of the tree-level coupling strengths; these corrections grow quickly as the bare quark mass becomes small. A need for computing the two-loop corrections to the energy shift and mass renormalization is demonstrated.

31 pages, REVTEX with 13 figures included using epsf.sty, Edinburgh Preprint: 94/1

References in corpus (5)

• On the Viability of Lattice Perturbation Theory
• Improved Nonrelativistic QCD for Heavy Quark Physics
• Precision Upsilon Spectroscopy from Nonrelativistic Lattice QCD
• A New Determination of M_b Using Lattice QCD
• The Heavy Quark Self-Energy in Nonrelativistic Lattice QCD

Cited by in corpus (33)

• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• FLAG Review 2019
• QCD forces and heavy quark bound states
• Massive Fermions in Lattice Gauge Theory
• The Upsilon spectrum and m_b from full lattice QCD
• The Upsilon spectrum and the determination of the lattice spacing from lattice QCD including charm quarks in the sea
• Precise determination of the lattice spacing in full lattice QCD
• The Search for Beauty-fully Bound Tetraquarks Using Lattice Non-Relativistic QCD
• Precise B, B_s and B_c meson spectroscopy from full lattice QCD
• $B_c$ Spectroscopy from Lattice QCD
• Scaling of the B and D meson spectrum in lattice QCD
• One-loop matching of lattice and continuum heavy-light axial vector currents using NRQCD
• Precision Charmonium Spectroscopy From Lattice QCD
• Scaling of the Upsilon Spectrum in Lattice NRQCD
• Exotic Tetraquark states with two $\bar{b}$-quarks and $J^P=0^{+}$ and $1^{+}$ $B_s$ states in a nonperturbatively-tuned Lattice NRQCD setup
• The Mass of the b Quark
• The Self-Energy of Massive Lattice Fermions
• B meson leptonic decay constant with quenched lattice NRQCD
• Scale setting for alpha_s beyond leading order
• Perturbative matching of lattice and continuum heavy-light currents with NRQCD heavy quarks
• Improved Upsilon Spectrum with Dynamical Wilson Fermions
• Moving NRQCD for heavy-to-light form factors on the lattice
• Heavy Quarkonia at High Temperature
• A calculation of the $B_B$ parameter in the static limit
• Unquenched Charmonium with NRQCD
• Heavy-Light Mesons with Quenched Lattice NRQCD: Results on Decay Constants
• Heavy Quarks on the Lattice
• Perturbative coefficients for improved actions by Monte Carlo at large $\beta$
• The (LATTICE) QCD Potential and Running Coupling: How to Accurately Interpolate between Multi-Loop QCD and the String Picture
• Bottom and Charm quark masses from lattice NRQCD
• One loop renormalisation of Lattice NRQCD currents for semileptonic $B\to D^{(\ast )}$ decays to order $\frac{\vec{p}}{M}$
• $B$ and $B_c$ mesons with NRQCD and Clover actions
• Improving the Kinetic Couplings in Lattice Non-Relativistic QCD