Exclusive decays of \chi_{bJ} and \eta_b into two charmed mesons

TL;DR

This paper develops an effective field theory framework to analyze exclusive two-body decays of bottomonium into charmed mesons, providing factorization formulas and relations between decay rates and non-perturbative matrix elements.

Contribution

It introduces a systematic EFT approach to factorize decay amplitudes of bottomonium into charmed mesons, including resummation of logarithms and leading order relations.

Findings

Decay rate factorizes into perturbative and non-perturbative components.

Derived relations between decay rates and matrix elements at leading order.

Discussed phenomenological implications of the factorization framework.

Abstract

We develop a framework to study the exclusive two-body decays of bottomonium into two charmed mesons and apply it to study the decays of the C-even bottomonia. Using a sequence of effective field theories, we take advantage of the separation between the scales contributing to the decay processes, 2m_b >> m_c >> \Lambda_{QCD}. We prove that, at leading order in the EFT power counting, the decay rate factorizes into the convolution of two perturbative matching coefficients and three non-perturbative matrix elements, one for each hadron. We calculate the relations between the decay rate and non-perturbative bottomonium and D-meson matrix elements at leading order, with next-to-leading log resummation. The phenomenological implications of these relations are discussed.