Width difference in the Bs system from lattice HQET

TL;DR

This paper reports lattice HQET calculations predicting the Bs meson lifetime difference, including next-to-leading order corrections through matching and anomalous dimension computations.

Contribution

It provides the first next-to-leading order lattice HQET prediction for the Bs lifetime difference, incorporating two-loop anomalous dimensions and matching calculations.

Findings

Predicted Bs lifetime difference: (5.1 ± 1.9 ± 1.7)×10^(-2)

Performed two-loop anomalous dimension calculations

Completed matching between QCD and HQET at NLO

Abstract

We present recent results for the prediction of the Bs lifetime difference from lattice Heavy Quark Effective Theory simulations. In order to get a next-to-leading order result we have calculated the matching between QCD and HQET and the two loop anomalous dimension in the HQET for all the \Delta B=2 operators, in particular for the operators which enter in the width difference. We obtain for the Bs lifetime difference, (\Delta\Gamma_Bs/\Gamma_Bs)=(5.1+/- 1.9+/- 1.7)10^(-2).