On Constraints for Heavy-Meson Form Factors

Abstract

We examine the recent work of de Rafael and Taron where model-independent bounds on the Isgur-Wise function are presented. We first argue that the bounds cannot hold in as much generality as implied. We show that the effects of resonances omitted in their discussion (such as heavy-heavy ``onium'' states below threshold) modify the bound. The resulting bound is much weaker but may be useful where the size of the additional contribution may be computed or estimated.

11 pp.+ 1 postscript figure, harvmac, SSCL-PP-167, BROWN-HET-882

References in corpus (2)

• Heavy Mesons in Two Dimensions
• Analyticity and the Isgur-Wise Function

Cited by in corpus (16)

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• ${\rm Y}$ absorption in hadronic matter
• Analyticity Properties and Unitarity Constraints of Heavy Meson Form Factors
• A Lattice Calculation of the Isgur-Wise Function
• New ways to search for right-handed current in B -> rho ell nu decay
• The B -> pi tau nu decay in the context of the 2HDM type II
• Upsilon \bar BB$ Couplings, Slope of the Isgur-Wise Function and Improved Estimate of \boldmath{$V_{cb}$}}
• Analyticity and the Isgur-Wise Function
• Slope of the Isgur-Wise Function from a QSSR Constraint on the ${\rm Y}B\bar{B}$ Couplings
• Model-independent constraints on hadronic form factors with above-threshold poles
• Hadronic absorption cross sections of $B_c$
• $B\to \rho \ell {\nu }_{\ell }$ Form Factors