Current Renormalisation in NRQCD for Semi-leptonic $B\to D$ Decays

Details Current Renormalisation in NRQCD for Semi-leptonic $B\to D$ Decays Current Renormalisation in NRQCD for Semi-leptonic $B\to D$ Decays

1998-09-09

arxiv.org/abs/hep-lat/9809044v1

Nucl.Phys.Proc.Suppl. 73 (1999) 378-380

Physics

High Energy Physics

High Energy Physics - Lattice

LATTICE98(heavyqk)

Scientific paper

10.1016/S0920-5632(99)85079-8

We present a calculation of the renormalisation constants for the temporal vector current, $Z_{V_0}$ and spatial axial current, $Z_{A_k}$, to $O(\alpha_s/M)$ for $B\to D$ transitions using the $O(1/M)$ NRQCD action for both $b$ and $c$ quarks evaluated for a large range of mass parameters. Considerations for the renormalisation of the spatial vector current and the temporal axial current are discussed and initial results for a mixed lattice current are presented for the spatial vector current.

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