The residual mass in Lattice Heavy Quark Effective Theory to α3 order

2000/12/19 by F. Di Renzo, Francesco Di Renzo, L. Scorzato +1 · 4 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.1088/1126-6708/2001/02/020

published as JHEP 0102:020,2001 · 11 pages, 1 figure. Axes labels added to the figure. Two references added. Section 3.2 a bit enriched to clarify the message. A few other comments added for the sake of clearness

arxiv created 2000/12/19 · openalex publication_date 2001/02/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We determine to order alpha³ in the quenched approximation the so-called residual mass in the lattice regularisation of the Heavy Quark Effective Theory. We follow a gauge-invariant strategy which exploits the fact that this mass term dominates the exponential decrease of perturbative Wilson loops at large perimeters. Our computational tool is Numerical Stochastic Perturbation Theory. The new coefficient we compute is crucial to improve the determination of the (MS bar) mass of the b-quark from lattice simulations of the Heavy Quark Effective Theory.

Cited by

• Phenomenology from lattice QCD
• Preliminary results in unquenched numerical stochastic perturbation theory
• An unquenched lattice QCD calculation of the mass of the bottom quark
• High-loop perturbative renormalization constants for Lattice QCD (III): three-loop quark currents for Iwasaki gauge action and n_f=4 n f = 4 Wilson fermions