SCET approach to top quark decay

Abstract

In this work we study QCD corrections to the top quark doubly decay rate with a detected $B$ hadron containing a $b$ quark. We focus on the regime among which the emitted $W$ boson nearly carries its maxim energy. The tool that we use here is the soft-collinear effective theory (SCET). The factorization theorem based on SCET indicates a novel fragmenting jet function. We calculate this function to next-to-leading order in ${\alpha }_s$. Large logarithms due to several well separated scale are summed up using the renormalization group equation (RGE). Finally we reach an analytic formula for the distribution which could easily be generalized to other heavy hadron decay.

13 pages, 4 figures

References in corpus (5)

• The Zero-Bin and Mode Factorization in Quantum Field Theory
• Threshold Resummation in Momentum Space from Effective Field Theory
• Top Jets in the Peak Region: Factorization Analysis with NLL Resummation
• Quark Fragmentation within an Identified Jet
• Resummation of Large Endpoint Corrections to Color-Octet J/psi Photoproduction

Cited by in corpus (26)

• Top-Quark Decay at Next-to-Next-to-Leading Order in QCD
• Calculating the Charge of a Jet
• Parton Fragmentation within an Identified Jet at NNLL
• Hadron Fragmentation Inside Jets in Hadronic Collisions
• Fragmentation in Jets at NNLO
• Fully-Unintegrated Parton Distribution and Fragmentation Functions at Perturbative k_T
• Jet substructure using semi-inclusive jet functions within SCET
• Calculating Track Thrust with Track Functions
• NRQCD Confronts LHCb Data on Quarkonium Production within Jets
• Jet axes and universal transverse-momentum-dependent fragmentation
• Single-top-quark production in the $t$-channel at NNLO
• Probing Quarkonium Production Mechanisms with Jet Substructure
• Fragmentation in Jets: Cone and Threshold Effects
• Transverse Momentum Dependent Fragmenting Jet Functions with Applications to Quarkonium Production
• Jet fragmentation functions in proton-proton collisions using soft-collinear effective theory
• Analytic and Monte Carlo Studies of Jets with Heavy Mesons and Quarkonia
• Heavy Quark Fragmenting Jet Functions
• Employing Helicity Amplitudes for Resummation
• Generalized Fragmentation Functions for Fractal Jet Observables
• Jet charge modification in dense QCD matter
• Phenomenology with a recoil-free jet axis: TMD fragmentation and the jet shape
• Transverse Vetoes with Rapidity Cutoff in SCET
• Jet Shapes in Dijet Events at the LHC in SCET
• Fragmentation with a Cut on Thrust: Predictions for B-factories
• Quarkonium Polarization and the Long Distance Matrix Elements Hierarchies using Jet Substructure
• Effective Field Theories for the LHC