Completing 1/ {m}_b^3 corrections to non-leptonic bottom-to-up-quark decays

Daniel Moreno

doi:10.1007/jhep01(2021)051

Abstract

We compute the contributions of dimension six two-quark operators to the non-leptonic decay width of heavy hadrons due to the flavor changing bottom-to-up-quark transition in the heavy quark expansion. Analytical expressions for the Darwin term ρD and the spin-orbit term ρLS are obtained with leading order accuracy.

Highlights

Suppressed by the heavy quark mass and, as a consequence, they are expected to be small corrections to the “free” heavy quark decay
We compute the contributions of dimension six two-quark operators to the non-leptonic decay width of heavy hadrons due to the flavor changing bottom-to-up-quark transition in the heavy quark expansion
For the final presentation of the results it is convenient to write it in terms of the local operatorbv/b defined in full QCD

Summary

Introduction

Suppressed by the heavy quark mass and, as a consequence, they are expected to be small corrections to the “free” heavy quark decay. The HQE provides a systematic way of improving theoretical predictions by either including matrix elements (ME) of higher order operators (including more terms in the 1/mQ expansion) [12] or improving the precision in αs(mQ) of the perturbative coefficients in front of them. When it comes to test it, the HQE has proven to be extremely successful to describe lifetimes and lifetime differences of bottomed hadrons, whose experimental determination has reached an impressive precision. That is an incredible opportunity to test the HQE, especially for lifetime differences. The theoretical predictions are really good as well [16,17,18]

Objectives

Results

Conclusion