QCD Corrections to $e^+e^- \rightarrow H^{\pm}W^{\mp}$ in Type-I THDM at Electron Positron Colliders

TL;DR

This paper calculates QCD corrections to charged Higgs production with a W boson in electron-positron collisions within the Type-I THDM, revealing sensitivity to Higgs mass and collider energy, and providing precise cross section predictions.

Contribution

It provides the first detailed analysis of NLO QCD corrections to $e^+e^- ightarrow H^{\pm}W^{\mp}$ in the Type-I THDM, including both total and differential cross sections.

Findings

Cross section peaks near $m_{H^{\pm}} \\sim 184$ GeV at 500 GeV collider.

QCD corrections vary between -10 ext{ and }11 ext{ extbackslash }\% for different Higgs masses.

Sensitivity of cross sections to Higgs mass and $ aneta$ is demonstrated.

Abstract

We investigate in detail the charged Higgs production associated with a $W$ boson at electron-positron colliders within the framework of the Type-I two-Higgs-doublet model (THDM). We calculate the integrated cross section at the LO and analyze the dependence of the cross section on the THDM parameters and the colliding energy in a benchmark scenario of the input parameters of Higgs sector. The numerical results show that the integrated cross section is sensitive to the charged Higgs mass, especially in the vicinity of $m_{H^{\pm}} \simeq 184~ {\rm GeV}$ at a $500~ {\rm GeV}$ $e^+e^-$ collider, and decreases consistently as the increment of $\tan\beta$ in the low $\tan\beta$ region. The peak in the colliding energy distribution of the cross section arises from the resonance of loop integrals and its position moves towards low colliding energy as the increment of $m_{H^{\pm}}$. We also study the two-loop NLO QCD corrections to both the integrated cross section and the angular distribution of the charged Higgs boson, and find that the QCD relative correction is also sensitive to the charged Higgs mass and strongly depends on the final-state phase space. For $\tan\beta = 2$, the QCD relative correction at a $500~ {\rm GeV}$ $e^+e^-$ collider varies in the range of $[-10\%,\, 11\%]$ as $m_{H^{\pm}}$ increases from $150$ to $400~ {\rm GeV}$.