The one-loop impact of a dependent mass: the role of $m_3$ in the C2HDM

TL;DR

This paper studies how one-loop quantum corrections affect the mass and decay properties of the heaviest neutral scalar in the complex 2-Higgs-Doublet Model, revealing significant impacts in fine-tuned parameter regions.

Contribution

It provides a detailed analysis of one-loop corrections to the mass $m_3$ in the C2HDM and their influence on decay processes, highlighting the importance of these corrections in specific parameter regions.

Findings

Large one-loop corrections can occur in fine-tuned parameter regions.

Moderate corrections can significantly enhance decay rates.

Dependence of $m_3$ on parameters affects decay predictions.

Abstract

In the complex 2-Higgs-Doublet Model (C2HDM), the mass $m_3$ of the heaviest neutral scalar $h_3$ is usually chosen as a derived parameter. We investigate one-loop corrections to $m_3$ and their impact on decays of $h_3$. Very fine-tuned regions of the parameter space can be found where such corrections are large, not due to subtraction schemes, but rather due to the particular dependence of $m_3$ on the independent parameters. We show that even moderate corrections can have a significant impact on decays of $h_3$, as they may be several times enhanced by leading-order factors.