Slope of the Isgur-Wise Function from a QSSR Constraint on the $Υ B\bar{B}$ Couplings

Details Slope of the Isgur-Wise Function from a QSSR Constraint on the $Υ B\bar{B}$ Couplings Slope of the Isgur-Wise Function from a QSSR Constraint on the $Υ B\bar{B}$ Couplings

1994-08-05

arxiv.org/abs/hep-ph/9408238v1

Phys.Lett. B339 (1994) 187-193

Physics

High Energy Physics

High Energy Physics - Phenomenology

pages 12, report #IFA-FT-399, August 1994

Scientific paper

10.1016/0370-2693(94)91153-3

We derive optimal upper and lower bounds on the slope of the Isgur-Wise function at the zero recoil point in terms of the sum of the $\Upsilon B\bar{B}$ couplings, estimated recently from a $QCD$ Spectral Sum Rule ($QSSR$). The problem is solved by means of a duality theorem in functional optimization. Optimal correlations between the slope and the convexity parameters of the Isgur-Wise function with the same input are also obtained.

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