Distribution Amplitudes of the Lambda_b Baryon in QCD

Abstract

The QCD description of exclusive decays of the ${\Lambda }_b$ baryon involves hadronic matrix elements of non-local light ray operators, the light-cone distribution amplitudes. We introduce the complete set of three--quark distribution amplitudes and calculate the renormalization scale dependence for the leading twist. At leading order in the strong coupling the evolution is driven by pairwise two--quark interactions: heavy--light involving Sudakov logarithms as in the B-meson case, and light--light as in light mesons. We solve the evolution equation and show that its main effect is to generate a radiative tail extending to high energies. Finally, we present simple models for the distribution amplitudes based on QCD sum rules, and study the effect of the evolution on these models.

12 pages, 3 figures

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• Branching Fractions of $B$ Meson Decays in Mesogenesis
• Light-cone Sum Rule Analysis of Semileptonic Decays ${\Lambda }_b^0\to {\Lambda }_c^{+}{\ell }^{-}{\overline{\nu }}_{\ell }$
• Estimates of exchange topological contributions and $CP$-violating observables in ${\Lambda }_b\to \Lambda \varphi$ decay
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• Analysis of FCNC ${\Xi }_{QQ}\to {\Lambda }_Q{l}^{+}{l}^{-}$ decay in light-cone sum rules
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• Invisible and Semi-invisible Decays of Bottom Baryons
• Estimates of the isospin-violating ${\Lambda }_b\to {\Sigma }^0\varphi ,{\Sigma }^{0}J/\psi$ decays and the $\Sigma -\Lambda$ mixing
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• Semileptonic neutral current decays of ${\Xi }_b$ with dileptons or dineutrinos in the final state
• Distribution Amplitudes of Heavy Hadrons: Theory and Applications
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• Light-cone sum rules with $B$-meson distribution amplitudes for the $B\to p$ form factors in $B$-mesogenesis models