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)
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Publisher's URL: http://dx.doi.org/10.1103/PhysRevD.62.074507
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.
|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|