====== A3b: Precision predictions for Higgs boson properties as a probe for New Physics =====


^Principal investigators ^^
| [[https://www.itp.kit.edu/memberpages/muehlleitner | Prof. Margarete Muehlleitner ]] | Karlsruhe Institute of Technology|
| [[https://www.ttp.kit.edu/memberpages/steinhauser | Prof. Matthias Steinhauser ]] | Karlsruhe Institute of Technology |

 
==== Subject ====
In project A3b we perform precision calculations related to the Higgs boson mass in supersymmetric extensions of the Standard Model and to the Higgs boson self-couplings. QCD and electroweak corrections to Higgs boson pair production are computed both numerically and analytically. Further information about the Higgs self-couplings are obtained from Higgs-to-Higgs decays which are considered in various extensions of the Standard Model.
====Topics====
  - Higgs Boson Pair Production: Higher order corrections to Standard Model pair production up to N$^3$LO in QCD and NLO in the electroweak sector.
  -  NLO corrections including the full mass dependences of all loop particles in the Standard Model and in the MSSM for neutral Higgs  pairs, $gg \to hh, HH, hH,AA$, if time permits also $hA, HA$.
  -  Higgs-to-Higgs Decay:  electroweak corrections in the CP-violating Two-Higgs-Doublet Model (C2HDM) and the next-minimal supersymmetric model (NMSSM); comparative analysis of Higgs to Higgs decays in the Next-Minimal 2HDM (N2HDM), C2HDM and NMSSM; all models allow for    sequences of Higgs-to-Higgs decays.
  -  Higgs Boson Mass in the MSSM and NMSSM: Higgs Boson Mass in the MSSM and NMSSM; three-loop corrections of order $\alpha_b \alpha_s^2$ ;  $\alpha_{t,b}^2 \alpha_s$, $\alpha_{t,b}^3$ to MSSM Higgs masses;  two-loop corrections to NMSSM Higgs masses in different renormalization schemes, including         singlet coupling $\lambda$, $\kappa$ contributions:  order $\alpha_t \alpha_\lambda$, $\alpha_\lambda^2$, $(\alpha_t + \alpha_\kappa)^2$.  

==== Related publications ====

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