Brief description of the flavor-changing neutral scalar interactions at two-loop level

TL;DR

This paper analyzes flavor-changing neutral scalar interactions at the two-loop level, focusing on the Two-Higgs Doublet Model type-III and the standard model's $h o \, gamma \, gamma$ process, providing detailed amplitude calculations.

Contribution

It extends the analysis of FCNC mediated by scalars to two-loop level in the Two-Higgs Doublet Model type-III and discusses implications for the standard model.

Findings

Two-loop level amplitude calculations for $h o \, gamma \, gamma$

Constraints on model parameters from FCNC processes

Insights into scalar-mediated flavor-changing interactions

Abstract

In this letter we show a general description about flavor-changing neutral currents (FCNC) mediated by scalars. The analysis is extended at two-loop level for the Two-Higgs Doublet Model type-III because others models have strong constraints on its parameters, even at high orders of the perturbation. For this letter we focus on the standard model, calculating the amplitude for the $h \to \gamma \gamma$ process and discussing the results briefly.