On the bounds for the curvature and higher derivatives of the Isgur-Wise function

Details On the bounds for the curvature and higher derivatives of the Isgur-Wise function On the bounds for the curvature and higher derivatives of the Isgur-Wise function

1997-01-31

arxiv.org/abs/hep-ph/9702212v1

Phys.Lett. B397 (1997) 263-268

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, latex, uses epsf macro, 5 postscript figures included

Scientific paper

10.1016/S0370-2693(97)00176-7

We discuss constraints imposed on the zero-recoil curvature and higher derivatives of the Isgur-Wise function by a general quark model. These constraints are expressed as bounds for a given slope parameter, and compared with those based upon analyticity properties of QCD spectral functions. Our results also indicate that in the analysis of the experimental data for semileptonic $B\rar D^{(*)}$ decays it may be important to include at least the third term in the form factor expansion about the zero recoil point.

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