One-loop induced contributions to the rare decay of $A_0 \rightarrow h_0h_0\gamma$ in Two Higgs Doublet Models

TL;DR

This paper provides the first analytic one-loop calculations for the rare decay $A_0 ightarrow h_0h_0 ext{ } ext{ extgamma}$ in Two Higgs Doublet Models, including numerical validation and phenomenological analysis.

Contribution

It presents the first analytic expressions for one-loop contributions to this decay in 2HDMs, using Passarino-Veltman functions and verifying their consistency.

Findings

Decay rates evaluated at various parameter points.

Differential decay widths analyzed with respect to Higgs pair invariant mass.

Analytic results confirmed to be ultraviolet and infrared finite.

Abstract

The analytic expressions for one-loop contributions to the rare decay process $A_0 \rightarrow h_0h_0\gamma$ within the CP-conserving of Two Higgs Doublet Models are first reported in this paper. Analytic results are presented in term of scalar one-loop Passarino-Veltman functions following the standard output of the packages~{\tt LoopTools} and {\tt Collier}. In this context, physical results for the computed process are easily generated by using one of these packages. The numerical checks are proposed to verify for the analytic results in this paper. The checks rely on the renormalization conditions that the decay amplitude must be the ultraviolet finiteness and infrared finiteness. The amplitude consisting of an external photon always obeys the Ward identity. This will be confirmed numerically in this article. In phenomenological results, the decay rates of $A_0 \rightarrow h_0h_0\gamma$ are evaluated at several points in the allowed regions of the parameter space. Furthermore, the differential decay widths with respect to the invariant mass of Higgs-pair in final states are studied.