MSSM Higgs Self-Couplings: Two-Loop O(alpha_t alpha_s) Corrections
Mathias Brucherseifer, Ryan Gavin, Michael Spira

TL;DR
This paper calculates two-loop corrections to the Higgs self-couplings in the MSSM, showing they are moderate and reduce scale dependence, which is crucial for future collider measurements.
Contribution
It provides the first detailed analysis of O(alpha_t alpha_s) two-loop corrections to MSSM Higgs self-couplings using the effective potential approach.
Findings
Two-loop corrections are moderate in size.
Including two-loop corrections reduces scale dependence to below 1%.
Results are important for future collider measurements of Higgs self-couplings.
Abstract
We analyze the minimal supersymmetric Higgs self-couplings at O(alpha_t alpha_s) within the effective potential approach. The two-loop corrections turn out to be of moderate size in the DRbar scheme if the central scale is chosen as half the SUSY scale. The inclusion of the two-loop corrections reduces the renormalization scale dependence to the per-cent level. These results have a significant impact on measurements of the trilinear Higgs self-couplings at the LHC and a future e^+e^- collider.
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