# SCET approach to top quark decay - High Energy Physics - Phenomenology

Abstract: In this work we study QCD corrections to the top quark doubly decay rate witha detected $B$ hadron containing a $b$ quark. We focus on the regime amongwhich the emitted $W$ boson nearly carries its maxim energy. The tool that weuse here is the soft-collinear effective theory SCET. The factorizationtheorem based on SCET indicates a novel fragmenting jet function. We calculatethis function to next-to-leading order in $\alpha s$. Large logarithms due toseveral well separated scale are summed up using the renormalization groupequation RGE. Finally we reach an analytic formula for the distribution whichcould easily be generalized to other heavy hadron decay.

Author: Xiaohui Liu

Source: https://arxiv.org/