Dortmund 2021 – scientific programme

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T: Fachverband Teilchenphysik

T 26: Higgs physics (theory)

T 26.6: Talk

Tuesday, March 16, 2021, 17:15–17:30, Ta

Two-Loop Higgs Boson Masses in the CP-Violating NMSSM — Nhung Dao³, •Martin Gabelmann¹, Margarete Mühlleitner¹, and Heidi Rzehak² — ¹KIT, Karlsruhe, Germany — ²Uni Freiburg, Germany — ³ICISE, Vietnam

Imposing supersymmetry inevitably connects a theories Higgs-, gauge- and Yukawa-sector. Therefore, the discovery of a 125 GeV Higgs boson at the LHC puts tight constraints on parameter spaces of supersymmetric models which need to predict the correct Higgs boson mass.
The importance of higher-order corrections in this game cannot be overemphasised: in the minimally supersymmetric SM (MSSM), loop-corrections are known to be O(40%) of the tree-level Higgs boson mass prediction.

In this talk, we report on recent progress in Higgs boson mass predictions at two-loop accuracy O((α_λ+α_κ+α_t)²) in the CP-violating NMSSM. We introduce the imposed renormalization schemes which combine minimal subtraction as well as on-shell conditions and discuss the size of the resulting scheme uncertainty. Furthermore, we discuss the appearance of infra-red (IR) divergences as well as three different IR-restoring methods in a subset of the two-loop tadpole- and selfenergy-diagrams. Finally, we compare size of the new two-loop corrections relative to the previously calculated O(α_t(α_s+α_t)) contributions.