Analytical Calculation of Radiative Corrections of a THDM Potential

TL;DR

This paper derives a closed-form one-loop effective potential for the Two Higgs Doublet Model, explicitly reproducing known results and extending the formalism to include interactions between scalar doublets.

Contribution

It provides a detailed derivation of the one-loop effective potential for the THDM, including interactions between scalar doublets, with explicit calculations.

Findings

Reproduces Weinberg and Coleman's expression for the effective potential.

Extends the formalism to include interactions between two scalar doublets.

Provides explicit step-by-step derivation of the one-loop potential.

Abstract

We obtain a closed form effective potential at the one-loop level of a Two Higgs Doublet Model. Through the loop expansion we reproduce the expression presented by Weinberg and Coleman, showing explicitly every step involved in the calculation. The formalism is then extended to include interaction terms between two scalar doublets and a final expression of the one-loop level contributions is presented.