Precision calculations for the $T$-odd quark pair production at the CLIC $e^+e^-$ linear collider

TL;DR

This paper performs precise NLO QCD calculations for T-odd mirror quark pair production at the CLIC collider, highlighting the importance of full differential corrections for accurate predictions.

Contribution

It provides the first detailed NLO QCD analysis of T-odd mirror quark production including full kinematic distributions at CLIC.

Findings

NLO QCD corrections enhance the LO cross section.

K-factor varies between 1.04 and 1.41 near production threshold.

Simple K-factor scaling is inadequate for differential distributions.

Abstract

We perform the precision calculations for the \eeqq ($q_-\bar{q}_-=u_-\bar u_-, ~c_-\bar c_-,~ d_-\bar d_-,~s_-\bar s_-$) processes up to the QCD next-to-leading order (NLO) including full weak decays for the final $T$-odd mirror quarks in the littlest Higgs model with $T$-parity (LHT) at the Compact Linear Collider (CLIC). We show the dependence of the leading order (LO) and NLO QCD corrected cross sections on the colliding energy $\sqrt{s}$, and provide the LO and QCD NLO kinematic distributions of final particles. The results show that the LO cross section can be enhanced by the NLO QCD correction and the $K$-factor increases obviously when the threshold of the on-shell $q_-\bar{q}_-$-pair production approaches the colliding energy $\sqrt{s}$. The $K$-factor value varies in the range of $1.04 \sim 1.41$ in our chosen parameter space. We find that a simple approximation of multiplying the LO kinematic distribution with the integrated $K$-factor is not appropriate for precision study of the \eeqq ($q_-\bar{q}_-=u_-\bar u_-,~c_-\bar c_-,~d_-\bar d_-,~s_-\bar s_-$) processes, since the NLO QCD corrections are phase space dependent. It is necessary to calculate the differential cross sections including full NLO QCD corrections to get reliable results.