tbW vertex in the Littlest Higgs Model with T-parity

TL;DR

This paper analyzes the effective tbW vertex in the Littlest Higgs model with T parity, including one-loop corrections, and examines implications for top quark decay and production at the LHC.

Contribution

It provides a detailed calculation of the one-loop induced weak dipole coefficient and exact formulas for particle masses and mixing angles in the model.

Findings

Calculated the top quark width and W-boson helicity fractions.

Analyzed single top production channels at the LHC.

Provided exact formulas for masses and mixing angles.

Abstract

A study of the effective tbW vertex is done in the littlest Higgs model with T parity that includes the one loop induced weak dipole coefficient f_{2R}. The top's width, the W-boson helicity in the t-> bW^+ decay as well as the t-channel and the s-channel modes of single top quark production at the LHC are then obtained for the tbW coupling. Our calculation is done in the Feynman-'t Hooft gauge, and we provide details of the analysis, like exact formulas (to all orders of the expansion variable v/f) of masses and mixing angles of all the particles involved. Also, a complete and exact diagonalization (and normalization) of the scalar sector of the model is made.