Decays rates for S- and P-wave bottomonium

TL;DR

This paper calculates decay rates of bottomonium states using a factorization scheme and lattice QCD, providing insights into the non-perturbative aspects of heavy quarkonium decays.

Contribution

It applies the Bodwin-Braaten-Lepage factorization scheme combined with lattice QCD to compute decay rates of S- and P-wave bottomonium states.

Findings

Decay rates are separated into short- and long-distance factors.

Lattice calculations of long-distance matrix elements are performed in the quenched approximation.

Results contribute to understanding bottomonium decay mechanisms.

Abstract

We use the Bodwin-Braaten-Lepage factorization scheme to separate the long- and short-distance factors that contribute to the decay rates of $\Upsilon$, $\eta_b$ (S-wave) and $\chi_b$,$h_b$ (P-wave). The long distance matrix elements are calculated on the lattice in the quenched approximation using a non-relativistic formulation of the $b$ quark dynamics.