Distribution amplitudes of the Λb baryon in QCD

2008/04/15 by Patricia Ball, V. M. Braun, Vladimir M. Braun +1 · 3 citations
Physics and Astronomy · #Amplitude #Baryon #Hadron #High-Energy Particle Collisions Research #Light cone #Meson #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Radiative transfer #hep-ph

paper · pdf · doi:10.1016/j.physletb.2008.06.004

published as Phys.Lett.B665:197-204,2008 · 12 pages, 3 figures

arxiv created 2008/04/15 · openalex publication_date 2008/06/13 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The QCD description of exclusive decays of the Λb 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.

Citations

• Perturbative QCD calculation forΛb→Λγin the standard model
• Form factors from light-cone sum rules withB-meson distribution amplitudes
• Baryonic currents and their correlators in the heavy quark effective theory
• The Uses of conformal symmetry in QCD
• B-meson distribution amplitude in QCD

Cited by

• Light-cone distribution amplitudes of light J = 2−− tensor mesons in QCD
• Factorization of heavy-to-light baryonic transitions in SCET
• Distribution Amplitudes of Heavy Hadrons: Theory and Applications