One loop renormalization of lattice nonrelativistic QCD currents for semileptonic B to D/(*) decays to order p to /M

Boyle, P. and Davies, C. (2000) One loop renormalization of lattice nonrelativistic QCD currents for semileptonic B to D/(*) decays to order p to /M. Physical Review D, 62(7), 074507. (doi: 10.1103/PhysRevD.62.074507)

Abstract

We present the results of a perturbative calculation to match the axial vector and vector currents for semileptonic B to D/(*) decays in lattice NRQCD to the continuum MS scheme. The matching is performed to O( alpha /sub s/p/M) in the Feynman gauge and in the on-shell renormalization scheme. The spatial and temporal components of the currents renormalize differently; to this order the matching involves a straightforward renormalization for the V/sub 0/ and A/sub k/ currents, and a rank 2 and 4 mixing matrix for the A/sub 0/ and V/sub k/ currents, respectively. The resultant one loop corrections are of O(5%), boding well for the accuracy of forthcoming simulations.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Davies, Professor Christine
• Authors: Boyle, P., and Davies, C.
• Subjects: Q Science > QC Physics
• College/School: College of Science and Engineering > School of Physics and Astronomy
• Journal Name: Physical Review D
• Publisher: American Physical Society
• ISSN: 1550-7998
• ISSN (Online): 1089-4918