Applicability of perturbative QCD to ${\Lambda }_b\to {\Lambda }_c$ decays

Abstract

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.

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

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• Form Factors and Decay Rates for Heavy $\Lambda$ Semileptonic Decays from QCD Sum Rules
• Charm and Bottom Baryon Decays in the Bethe-Salpeter Approach: Heavy to Heavy Semileptonic Transitions
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• The perturbative proton form factor reexamined
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Cited by in corpus (22)

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• Evaluating decay Rates and Asymmetries of ${\Lambda }_b$ into Light Baryons in LFQM
• ${\Lambda }_b\to p,\Lambda$ transition form factors from QCD light-cone sum rules
• PQCD Calculation for ${\Lambda }_b\to \Lambda \gamma$ in the Standard Model
• Λ_b \to ΛJ/ψdecay in perturbative QCD
• Combined nonrelativistic constituent quark model and heavy quark effective theory study of semileptonic decays of Λ_b and Ξ_b baryons
• The semi-leptonic form factors of ${\Lambda }_b\to {\Lambda }_c$ and ${\Xi }_b\to {\Xi }_c$ in QCD sum rules
• Color-allowed Bottom Baryon to Charmed Baryon non-leptonic Decays
• ${\Lambda }_b\to p$ transition form factors in perturbative QCD
• Note on the Slope Parameter of the Baryonic Λ_b to Λ_c Isgur-Wise Function
• Diquarks and the Semi-Leptonic Decay of ${\Lambda }_b$ in the Hybrid Scheme
• Doubly Charmful Baryonic B Decays
• Charm Physics - A Field Full with Challenges and Opportunities
• ${\Lambda }_b\to {\Lambda }_c$ Form Factors from QCD Light-Cone Sum Rules
• Calculation of BR(${\bar{B}}^0\to {\Lambda }_c^{+}+\bar{p})$ in the PQCD Approach
• Estimates of exchange topological contributions and $CP$-violating observables in ${\Lambda }_b\to \Lambda \varphi$ decay
• Charmonium decays of beauty baryons in the perturbative QCD approach
• Semileptonic baryon decays ${\Xi }_b\to {\Xi }_c{\ell }^{-}{\bar{\nu }}_{\ell }$ in perturbative QCD
• Mixing effects of $\eta -{\eta }^{\prime }$ in ${\Lambda }_b\to \Lambda {\eta }^{{(}^{\prime })}$ decays
• Estimates of the isospin-violating ${\Lambda }_b\to {\Sigma }^0\varphi ,{\Sigma }^{0}J/\psi$ decays and the $\Sigma -\Lambda$ mixing