Dispersive Bounds on The Shape Of Lambda_b to Lambda_c l {\bar ν_l} Formfactors

Abstract

We derive a theoretically allowed domain for the charge radius $\rho$ and curvature $c$ of the Isgur-Wise function describing the decay ${\Lambda }_b\to {\Lambda }_{c}l{\bar{\nu }}_l$. Our method uses crossing symmetry, dispersion relations and analyticity in the context of the Heavy Quark Effective Theory but is independent of the specifics of any given model. The experimentally determined values of the ${\rm Y}$ masses have been used as input information. The results are of interest for testing different models employed to calculate the heavy baryon formfactors which are used for the extraction of $|V_{cb}|$ from the experimental data.

18 pages, 1 figure included via psfig

References in corpus (16)

• Heavy Quark Symmetry
• Dispersive Bounds on the Shape of B -> D^(*) l nu Form Factors
• Precision Corrections to Dispersive Bounds on Form Factors
• Heavy Baryon Transitions in a Relativistic Three-Quark Model
• Model-Independent Extraction of |V_{cb}| Using Dispersion Relations
• 1/M Corrections to Baryonic Form Factors in the Quark Model
• The Baryon Isgur-Wise Function in the Large $N_c$ Limit
• Measurement of the B -> D^* l nu Branching Fractions and |Vcb|
• QCD Sum Rule Analysis for the Λ_b to Λ_c Semileptonic Decay
• Improved Bounds for the Slope and Curvature of $\bar{B}\to D^{(\ast )}\ell \bar{\nu }$ Form Factors
• Analyticity Properties and Unitarity Constraints of Heavy Meson Form Factors
• Infinite Momentum Frame Calculation of Semileptonic Heavy Λ_b\toΛ_c Transitions Including HQET Improvements
• Comparison of 1/mQ^2 Corrections in Mesons and Baryons
• Unitarity Constraints on the B and B^* Form Factors from QCD Analyticity and Heavy Meson Spin Symmetry
• Remarks on the Heavy-Quark Symmetry in the Complex Plane
• Model-Independent Semileptonic Form Factors Using Dispersion Relations

Cited by in corpus (4)

• Combined nonrelativistic constituent quark model and heavy quark effective theory study of semileptonic decays of Λ_b and Ξ_b baryons
• Measurement of the Lambda_b^0 Decay Form Factor
• Analysis of the exclusive semileptonic decay Lambda_b -> Lambda_c + l nu_l within a light-front constituent quark model
• Bounds on Heavy-to-Heavy Baryonic Form Factors