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Distribution Amplitudes of the Lambda_b Baryon in QCD

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arxiv 0804.2424 v1 pith:KQTGM6AZ submitted 2008-04-15 hep-ph

Distribution Amplitudes of the Lambda_b Baryon in QCD

classification hep-ph
keywords amplitudesdistributionevolutionbaryoneffectlambdaleadinglight
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Light-cone sum rules with $B$-meson distribution amplitudes for the $B\to p$ form factors in $B$-mesogenesis models

    hep-ph 2026-03 conditional novelty 7.0

    New light-cone sum-rule form factors predict B+→p + dark-antiproton rates and lower limits showing that Belle II/BaBar bounds must reach 10⁻⁸–10⁻⁷ for a decisive test of B-mesogenesis.

  2. Revisiting $\bar B^0 \rightarrow \Lambda_c^+ \bar p$ decay with higher twist corrections

    hep-ph 2026-07 accept novelty 6.0

    Higher-twist LCDAs plus W-exchange produce destructive interference that lowers the PQCD branching fraction of B-bar0 to Lambda_c+ p-bar to ~1.6e-5, matching experiment, while predicting the suppressed mode at order 10^{-8}.

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    hep-ph 2026-07 conditional novelty 5.0

    The Lambda_Q baryon LCDA at mass m_Q equals (m_Q/m_Q^0)^2 times the LCDA at m_Q^0 evaluated at rescaled fractions x_i*m_Q/m_Q^0, times an exponentiated anomalous dimension, plus renormalon-model power corrections.

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