Three-Loop Predictions for the Light Higgs Mass in the MSSM

TL;DR

This paper provides a highly precise three-loop calculation of the light Higgs boson mass in the MSSM, crucial for testing the model against future accurate experimental measurements from the LHC.

Contribution

It introduces the first three-loop radiative corrections of order alpha_t*alpha_s^2 for the Higgs mass in the MSSM and offers a computational tool for combining these with existing lower-order corrections.

Findings

Three-loop corrections significantly improve Higgs mass prediction accuracy.

The new code enables precise theoretical predictions for upcoming LHC measurements.

Results help constrain MSSM parameters with higher precision.

Abstract

The Minimal Supersymmetric Extension of the Standard Model (MSSM) features a light Higgs boson, the mass Mh of which is predicted by the theory. Given that the LHC will be able to measure the mass of a light Higgs with great accuracy, a precise theoretical calculation of Mh yields an important test of the MSSM. In order to deliver this precision, we present three-loop radiative corrections of O(alpha_t*alpha_s^2) and provide a computer code that combines our results with corrections to Mh at lower loop orders that are available in the literature.