Analyticity and the Isgur-Wise Function

Abstract

We reconsider the recent derivation by de Rafael and Taron of bounds on the slope of the Isgur-Wise function. We argue that one must be careful to include cuts starting below the heavy meson pair production threshold, arising from heavy quark-antiquark bound states, and that if such cuts are properly accounted for then no constraints may be derived.

8 pages, uses harvmac, SLAC-PUB-5956, UCSD/PTH 92-35, CALT-68-1830

References in corpus (1)

• On Constraints for Heavy-Meson Form Factors

Cited by in corpus (13)

• Heavy Quark Symmetry
• Model-Independent Extraction of |V_{cb}| Using Dispersion Relations
• Effective Meson Lagrangian with Chiral and Heavy Quark Symmetries from Quark Flavor Dynamics
• Analyticity Properties and Unitarity Constraints of Heavy Meson Form Factors
• A Lattice Calculation of the Isgur-Wise Function
• On Constraints for Heavy-Meson Form Factors
• Upsilon \bar BB$ Couplings, Slope of the Isgur-Wise Function and Improved Estimate of \boldmath{$V_{cb}$}}
• Slope of the Isgur-Wise Function from a QSSR Constraint on the ${\rm Y}B\bar{B}$ Couplings
• The anomalous threshold, confinement, and an essential singularity in the heavy-light form factor
• B Meson Transitions into Higher Mass Charmed Resonances
• Model-independent constraints on hadronic form factors with above-threshold poles
• $B\to \rho \ell {\nu }_{\ell }$ Form Factors
• Anomalous Thresholds and the Isgur-Wise Function