The Light CP-Even Higgs Boson Mass of the MSSM at Three-Loop Accuracy

Edilson A Reyes Rojas,A Raffaele Fazio,G.E Bruno,C Corianò,D.M Creanza,G Chiodini,P Colangelo,F De Fazio,E Nappi

doi:10.1051/epjconf/201819200033

Abstract

In this paper we are going to discuss the relevant aspects related to the calculation of the higher order corrections to the lightest CP-even Higgs boson mass of the minimal supersymmetric standard model with real parameters (rMSSM). We have computed these corrections using the Feynman diagrammatic approach with a precision of three-loop in the SUSYQCD sector. The renormalization scheme adopted in this work is based on a variant of dimensional regularization where the so called dimensional reduction is performed in order to preserve supersymmetry to all perturbative orders. The calculation will extend the region of validity of previous studies to the whole parameters space. The emerging loop integrals have been computed by exploiting new proposed approaches based on the dispersion relation techniques for the numerical calculation of three-loop vacuum integrals with arbitrary mass scales.

Highlights

The analysis of the scale dependent properties of the Higgs sector in the Standard Model (SM) and beyond the SM scenarios (BSM) have been discussed by several authors for the last decade
If one insists that the naturalness argument is valid and would represent a real problem of the theory, one has to conclude that physics beyond the SM has to appear at the TeV scale in the runs of the LHC or in the coming experiments at future colliders like the ILC
We have found the basis of six master integrals depicted in Figure 1, where each topology can contain at most four different mass scales

Summary

Introduction

The analysis of the scale dependent properties of the Higgs sector in the Standard Model (SM) and beyond the SM scenarios (BSM) have been discussed by several authors for the last decade. Higher order quantum corrections to the MSSM Higgs boson mass lead to a considerably large shift in the upper limit towards Mh ≤ 135 GeV. For the MSSM the status of higher-order corrections to the masses and mixing angles in the neutral Higgs sector is quite advanced and widely studied due to radiative corrections can give large contributions to the values of these parameters.

Results

Conclusion