Precise QCD predictions on $W_HZ_H$ production in the littlest Higgs Model with $T$ parity at the LHC

TL;DR

This paper provides precise QCD predictions for $W_H Z_H$ production in the littlest Higgs model with T parity at the LHC, including NLO corrections that reduce theoretical uncertainties and detailed K-factor analyses across different energies and model parameters.

Contribution

The study offers the first detailed NLO QCD calculations for $W_H Z_H$ production in the littlest Higgs model with T parity, improving the accuracy of theoretical predictions.

Findings

QCD NLO corrections reduce scale uncertainties.

K-factors range from 1.00 to 1.13 depending on parameters.

Results are consistent across 8 TeV and 14 TeV LHC energies.

Abstract

We investigate the effects of the littlest Higgs model with $T$ parity up to the QCD next-to-leading order (NLO) on the $W_H^{\pm} Z_H$ productions at the CERN Large Hadron Collider (LHC), and discuss the kinematic distributions of final decay products and the theoretical dependence of the cross section on the factorization/renormalization scale. We find the QCD NLO corrections reduce the scale uncertainty of the leading order cross section in case of $\mu_F=\mu_R$. By adopting the PROSPINO subtraction scheme (scheme (II)) in analysing the QCD NLO contributions, we can obtain the numerical results which keep the convergence of the perturbative QCD description. Our results by adopting scheme (II) at the $14 {\rm TeV}$ ($8 {\rm TeV}$) LHC show that the $K$-factor for the $W_H^+ Z_H$ production varies in the range of $1.01 \sim 1.10$ ($1.00 \sim 1.08$), while the $K$-factor for the $W_H^- Z_H$ production varies in the range of $1.11 \sim 1.13$ ($1.11 \sim 1.12$), when the global symmetry breaking scale $f$ goes from $400 {\rm GeV}$ to $1.5 {\rm TeV}$ ($1 {\rm TeV}$).