Note on the Slope Parameter of the Baryonic Λ_b to Λ_c Isgur-Wise Function

Abstract

Using the framework of the Heavy Quark Effective Theory we have re-analyzed the Isgur-Wise function describing semileptonic Λ_b to Λ_c decays in the QCD sum rule approach. The slope parameter of the Isgur-Wise function is found to be ρ^2 = 1.35 \pm 0.12, which is consistent with an experimental measurement and a lattice calculation. To O(1/m_b,1/m_c) of the heavy quark expansion the integrated Λ_b decay width is used to extract the CKM matrix element V_{cb} for which we obtain a value of |V_{cb}| = 0.041 \pm 0.004 in excellent agreement with the value of |V_{cb}| determined from semileptonic B to D^* decays.

10 pages, 1 figure

References in corpus (3)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Measurement of the Lambda_b^0 Decay Form Factor
• Measurement of |V_cb| using the semileptonic decay anti-B0d -> D*+ l- anti-nu_l

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• First Measurement of the Ratio of Branching Fractions B(Lambda_b to Lambda_c mu nu)/B(Lambda_b to Lambda_c pi)
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• ${\Omega }_b$ semi-leptonic weak decays
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• The study of weak decays induced by ${\frac{1}{2}}^{+}\to {\frac{3}{2}}^{-}$ transition in light-cone sum rules
• New results on the baryon decay Lambda_b -> Lambda_c ell nu in Heavy Quark Effective Theory
• An Analysis of Isgur-Wise Function of Heavy-Light Mesons within a Higher Dimensional Potential Model Approach
• Production of charged $\rho$ meson in bottom hadron charmed decays and the effect of the finite width correction of the $\rho$ meson