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.

arXiv comment10 pages, 1 figure

References in corpus (24)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Heavy Quark Symmetry
• Heavy baryons
• Heavy Baryon Transitions in a Relativistic Three-Quark Model
• The Baryon Isgur-Wise Function in the Large $N_c$ Limit
• QCD Sum Rule Analysis for the Λ_b to Λ_c Semileptonic Decay
• Baryonic currents and their correlators in the Heavy Quark Effective Theory
• Form Factors and Decay Rates for Heavy $\Lambda$ Semileptonic Decays from QCD Sum Rules
• The Isgur-Wise Function in Small Velocity Limit
• 1/m Corrections to Heavy Baryon Masses in the Heavy Quark Effective Theory Sum Rules
• First Lattice Study of Semileptonic Decays of Lambda_b and Xi_b Baryons
• Two-loop QCD Corrections to $b\to c$ Transitions at Zero Recoil: Analytical Results
• Charm and Bottom Baryon Decays in the Bethe-Salpeter Approach: Heavy to Heavy Semileptonic Transitions
• Determination of |Vcb| using the semileptonic decay \bar{B}^0 --> D^{*+}e^-\barν
• An Analysis of Diagonal and Non-diagonal QCD Sum Rules for Heavy Baryons at Next-to-Leading Order in α_S
• Infinite Momentum Frame Calculation of Semileptonic Heavy Λ_b\toΛ_c Transitions Including HQET Improvements
• Measurement of the Lambda_b^0 Decay Form Factor
• Applicability of perturbative QCD to ${\Lambda }_b\to {\Lambda }_c$ decays
• Measurement of |V_cb| using the semileptonic decay anti-B0d -> D*+ l- anti-nu_l
• Choice of heavy baryon currents in QCD sum rules
• Analysis of Lambda_b to Lambda_c Weak Decays in Heavy Quark Effective Theory
• On the 1/m^2 corrections to the form-factors in /\_b -> /\_c semileptonic decays
• Exclusive-Inclusive Ratio of Semileptonic Lambda_b-Decays
• 1/N_c Expansion of the Heavy Baryon Isgur-Wise Functions

Cited by in corpus (25)

• The semileptonic decay Lambda_b -> Lambda_c + tau(-) + antinu_tau in the covariant confined quark model
• Semileptonic decays of heavy baryons in the relativistic quark model
• Diquarks and Λ_{b}\toΛ_c weak decays
• Evaluating decay Rates and Asymmetries of ${\Lambda }_b$ into Light Baryons in LFQM
• Measurement of the shape of the ${\Lambda }_b^0\to {\Lambda }_c^{+}{\mu }^{-}\overline{\nu }$ differential decay rate
• The semi-leptonic form factors of ${\Lambda }_b\to {\Lambda }_c$ and ${\Xi }_b\to {\Xi }_c$ in QCD sum rules
• Revisiting semileptonic decays of ${\Lambda }_{b(c)}$ supported by baryon spectroscopy
• Diquarks and the Semi-Leptonic Decay of ${\Lambda }_b$ in the Hybrid Scheme
• First Measurement of the Ratio of Branching Fractions B(Lambda_b to Lambda_c mu nu)/B(Lambda_b to Lambda_c pi)
• Isgur-Wise function within a QCD quark model with Airy's function as the wave function of heavy-light mesons
• ${\Lambda }_b\to {\Lambda }_c$ Form Factors from QCD Light-Cone Sum Rules
• Light-cone Sum Rule Analysis of Semileptonic Decays ${\Lambda }_b^0\to {\Lambda }_c^{+}{\ell }^{-}{\overline{\nu }}_{\ell }$
• An analysis of the Isgur-Wise Function and its derivatives within a Heavy-Light QCD Quark Model
• Semileptonic Transition of ${\Lambda }_b$ Baryon
• ${\Omega }_b$ semi-leptonic weak decays
• Bound on the curvature of the Isgur-Wise function of the baryon semileptonic decay Lambda_b -> Lambda_c + l + nu
• Investigating the transition form factors of ${\Lambda }_b\to {\Lambda }_c(2625)$ and ${\Xi }_b\to {\Xi }_c(2815)$ and the corresponding weak decays with support from baryon spectroscopy
• Isgur-Wise Function for Heavy Light Mesons in D dimensional Potential Model
• A Higher Dimensional Potential Model Approach in the Study of Isgur-Wise Function for Heavy-Light Mesons
• Heavy quark symmetry of ${\Lambda }_b^0$ decays in quark models
• b-baryon semi-tauonic decays in the Standard Model
• 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