Applicability of perturbative QCD to $Λ_b \to Λ_c$ decays

Details Applicability of perturbative QCD to $Λ_b \to Λ_c$ decays Applicability of perturbative QCD to $Λ_b \to Λ_c$ decays

1999-06-15

arxiv.org/abs/hep-ph/9906370v2

Phys.Rev. D61 (2000) 114002

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages in Latex file, 3 figures in postscript files, some results are changed, but the conclusion is the same

Scientific paper

10.1103/PhysRevD.61.114002

We develop perturbative QCD factorization theorem for the semileptonic heavy baryon decay $\Lambda_b \to \Lambda_c l\bar{\nu}$, whose form factors are expressed as the convolutions of hard $b$ quark decay amplitudes with universal $\Lambda_b$ and $\Lambda_c$ baryon wave functions. Large logarithmic corrections are organized to all orders by the Sudakov resummation, which renders perturbative expansions more reliable. It is observed that perturbative QCD is applicable to $\Lambda_b \to \Lambda_c$ decays for velocity transfer greater than 1.2. Under requirement of heavy quark symmetry, we predict the branching ratio $B(\Lambda_b \to \Lambda_c l{\bar\nu})\sim 2%$, and determine the $\Lambda_b$ and $\Lambda_c$ baryon wave functions.

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