Simone, J. N., Hashimoto, S., El-Khadra, A. X., Kronfeld, A. S., Mackenzie, P. B., Ryan, S. M. ‘The B --> D*lv Form factor at zero recoil’ in Nuclear Physics B - Proceedings Supplements, 83-84, 2000, pp 334-336
Series/Report no.:
Nuclear Physics B - Proceedings Supplements 83-84
Abstract:
A lattice QCD calculation of the ¯B → Dl¯ decay form factors is presented.
We obtain the value of the form factor h+(w) at the zero-recoil limit w = 1
with high precision by considering a ratio of correlation functions in which
the bulk of the uncertainties cancels. The other form factor h−(w) is calculated,
for small recoil momenta, from a similar ratio. In both cases, the
heavy quark mass dependence is observed through direct calculations with
several combinations of initial and final heavy quark masses. Our results
are h+(1) = 1.007(6)(2)(3) and h−(1) = −0.107(28)(04)(10
30). For both the
first error is statistical, the second stems from the uncertainty in adjusting
the heavy quark masses, and the last from omitted radiative corrections.
Combining these results, we obtain a precise determination of the physical
combination FB→D(1) = 1.058(20
17), where the mentioned systematic errors
are added in quadrature. The dependence on lattice spacing and the effect
of quenching are not yet included, but with our method they should be a
fraction of FB→D − 1.
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