Decay rates of various bottomonium systems

TL;DR

This paper reports on lattice QCD calculations of matrix elements for bottomonium decays, providing preliminary results on operator matching and discussing phenomenological implications within the framework of heavy quarkonium decay theory.

Contribution

It introduces lattice QCD computations of bottomonium decay matrix elements and presents initial operator matching results at one loop level.

Findings

Preliminary operator matching results at one loop level.

Discussion of phenomenological implications of matrix elements.

Application of Bodwin--Braaten--Lepage factorization in bottomonium decays.

Abstract

Using the Bodwin--Braaten--Lepage factorization theorem in heavy quarkonium decay and production processes, we calculated matrix elements associated with S- and P-wave bottomonium decays via lattice QCD simulation methods. In this work, we report preliminary results on the operator matching between the lattice expression and the continuum expression at one loop level. Phenomenological implications are discussed using these preliminary \(\overline{MS}\) matrix elements.