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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. ISSN 1550-7998 (doi:10.1103/PhysRevD.62.074507)

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Publisher's URL: http://dx.doi.org/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:Article
Status:Published
Refereed:Yes
Glasgow Author(s):Davies, Prof 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

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