Speaker
Description
In supersymmetric theories the Higgs boson masses are derived
quantities where higher-order corrections have to be included in order
to match the measured Higgs mass value at the precision of current
experiments. Closely related through the
Higgs potential are the Higgs self-interactions. In addition, the measurement of
the trilinear Higgs self-coupling provides the first step towards the
reconstruction of the Higgs potential and the experimental
verification of the Higgs mechanism sui generis. In this talk, we report on most-recent precision predictions of the trilinear Higgs self-couplings in the CP-violating Next-to-Minimal Supersymmetric extension of the SM (NMSSM).
After a short technical introduction into higher-order corrections to supersymmetric Higgs-potentials the phenomenological impact of the recently obtained two-loop corrections onto the SM-like trilinear Higgs self-coupling as well as their correlation to the Higgs mass corrections are discussed. Finally, we discuss the inclusion of the loop-corrected effective trilinear Higgs self-coupling in gluon fusion into Higgs pairs and the estimate of the theoretical uncertainty due to missing higher-order corrections.