One-loop QED and Weak Corrections to $\gamma \gamma \to H^\pm H^\mp$ in the Inert Doublet Model

TL;DR

This paper provides a comprehensive one-loop analysis of charged scalar pair production in photon-photon collisions within the Inert Doublet Model, highlighting significant quantum corrections relevant for future collider experiments.

Contribution

It introduces a complete one-loop calculation including weak and QED effects, with Coulomb resummation, for $ o H^\pm H^\mp$ in the IDM, exploring parameter space under various constraints.

Findings

Quantum corrections range from -12% to -7% at 250 GeV.

Corrections vary from -15% to 6% at 500 GeV.

At 1 TeV, corrections can reach from -20% up to +60%.

Abstract

We present a complete one-loop analysis of charged scalar boson pair production in photon-photon collisions, $\gamma\gamma \to H^\pm H^\mp$, within the framework of the Inert Doublet Model (IDM). The calculation is carried out in the on-shell renormalization scheme and incorporates both weak corrections and QED effects, including soft and hard photon radiation. Virtual loop contributions and real emission processes are computed using the Feynman diagrammatic method, ensuring the cancellation of ultraviolet and infrared divergences. To properly account for the Coulomb singularity that arises in the QED sector near threshold, we introduce the resummed cross section based on the Sommerfeld factor. The IDM parameter space is explored under theoretical consistency conditions, collider limits, and dark matter constraints, and three representative scenarios are studied in detail. We find that the magnitude of the quantum corrections is strongly controlled by the absolute value of the trilinear scalar coupling $\lambda_{h^0 H^+ H^-}$, which correlates with the charged scalar mass. When all constraints are applied, the weak corrections are typically in the range of $-12\%$ to $-7\%$ at $\sqrt{s}=250$~GeV, and between $-15\%$ and $6\%$ at $\sqrt{s}=500$~GeV. At higher energies, such as $\sqrt{s}=1$~TeV, the corrections can become very large, ranging from about $-20\%$ up to $+60\%$. Our findings highlight the significant role of higher-order effects in photon-photon collisions and establish $\gamma\gamma \to H^\pm H^\mp$ as a promising process to investigate the charged scalar sector of the IDM at future high-energy photon colliders. Several benchmark points are proposed to facilitate future experimental searches.