Dispersive Bounds on The Shape Of Lambda_b to Lambda_c l {\bar ν_l} Formfactors

Details Dispersive Bounds on The Shape Of Lambda_b to Lambda_c l {\bar ν_l} Formfactors Dispersive Bounds on The Shape Of Lambda_b to Lambda_c l {\bar ν_l} Formfactors

1998-02-03

arxiv.org/abs/hep-ph/9802223v1

Int.J.Mod.Phys. A14 (1999) 2385-2396

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, 1 figure included via psfig

Scientific paper

10.1142/S0217751X99001196

We derive a theoretically allowed domain for the charge radius $\rho$ and curvature $c$ of the Isgur-Wise function describing the decay $\Lambda_b \to \Lambda_c l {\bar \nu_l}$. Our method uses crossing symmetry, dispersion relations and analyticity in the context of the Heavy Quark Effective Theory but is independent of the specifics of any given model. The experimentally determined values of the $\Upsilon$ masses have been used as input information. The results are of interest for testing different models employed to calculate the heavy baryon formfactors which are used for the extraction of $| V_{cb} |$ from the experimental data.

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