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

Abstract

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 ${\rm Y}B\bar{B}$ 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.

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

References in corpus (3)

• On Constraints for Heavy-Meson Form Factors
• Upsilon \bar BB$ Couplings, Slope of the Isgur-Wise Function and Improved Estimate of \boldmath{$V_{cb}$}}
• Analyticity and the Isgur-Wise Function

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• Unitarity Constraints on the B and B^* Form Factors from QCD Analyticity and Heavy Meson Spin Symmetry
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• Above-Threshold Poles in Model-Independent Form Factor Parametrizations
• Model-independent constraint on the pion scalar form factor and light quark masses
• On the bounds for the curvature and higher derivatives of the Isgur-Wise function