QCD Light-Cone Distribution Amplitudes of Heavy Mesons from boosted HQET

2023/05/10 by Beneke, Martin, Finauri, Gael, Vos, K. Keri +1 · 1 citation
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.2305.06401

Abstract

Light-cone distribution amplitudes (LCDAs) frequently arise in factorization theorems involving light and heavy mesons. The QCD LCDA for heavy mesons includes short-distance physics at energy scales of the heavy-quark mass. In this paper we achieve the separation of this perturbative scale from the purely hadronic effects by matching the QCD LCDA to the convolution of a perturbative function with the universal, quark-mass independent LCDA defined in heavy-quark effective theory. This factorization allows to resum potentially large logarithms between Λ_{\rm QCD} and m_Q as well as between m_Q and the scale Q of the hard process in the production of boosted heavy mesons at colliders. As an application we derive new theoretical predictions for the branching ratio of the decay W^± → B^± γ. Furthermore, we provide phenomenological models for the QCD LCDAs of both the B and D mesons expressed as expansions in Gegenbauer polynomials.

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