Light-Cone Distribution Amplitudes for Heavy-Quark Hadrons

TL;DR

This paper develops parametrizations of light-cone distribution amplitudes for heavy hadrons like B-mesons and Lambda_b-baryons, facilitating their use in phenomenological heavy-flavour physics and decay analyses.

Contribution

It introduces eigenfunctions of the Lange-Neubert kernel and a new method to construct LCDA models from momentum-space projectors for improved theoretical modeling.

Findings

Eigenfunctions of the Lange-Neubert kernel derived

New LCDA construction strategy from momentum-space projectors

Enhanced tools for heavy-hadron decay phenomenology

Abstract

We construct parametrizations of light-cone distribution amplitudes (LCDAs) for B-mesons and Lambda_b-baryons that obey various theoretical constraints, and which are simple to use in factorization theorems relevant for phenomenological applications in heavy-flavour physics. In particular, we find the eigenfunctions of the Lange-Neubert renormalization kernel, which allow for a systematic implementation of renormalization-group evolution effects for both B-meson and \Lambda_b-baryon decays. We also present a new strategy to construct LCDA models from momentum-space projectors, which can be used to implement Wandzura-Wilczek--like relations, and which allow for a comparison with theoretical approaches that go beyond the collinear limit for the light-quark momenta in energetic heavy-hadron decays.