Dispersive Bounds on the Shape of B -> D^(*) l nu Form Factors

Details Dispersive Bounds on the Shape of B -> D^(*) l nu Form Factors Dispersive Bounds on the Shape of B -> D^(*) l nu Form Factors

1997-12-17

arxiv.org/abs/hep-ph/9712417v1

Nucl.Phys. B530 (1998) 153-181

Physics

High Energy Physics

High Energy Physics - Phenomenology

32 pages, 6 figures

Scientific paper

10.1016/S0550-3213(98)00350-2

Dispersive constraints on the shape of the form factors which describe the exclusive decays B -> D^(*) l nu are derived by fully exploiting spin symmetry in the ground-state doublet of heavy-light mesons. The analysis includes all twenty B^(*) -> D^(*) semileptonic form factors. Heavy-quark symmetry, with both short-distance and 1/m_Q corrections included, is used to provide relations between the form factors near zero recoil. Simple one-parameter functions are derived, which describe the form factors in the semileptonic region with an accuracy of better than 2%. The implications of our results for the determination of |V_cb| are discussed.

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