# Two-loop O ((αt + αλ + ακ)$^{2}$) corrections to the Higgs boson masses in the CP-violating NMSSM

Dao, Thi Nhung; Gabelmann, Martin; Mühlleitner, Margarete; Rzehak, Heidi

##### Abstract:
We present our computation of the O((αt + αλ + ακ)$^{2}$) two-loop corrections to the Higgs boson masses of the CP-violating Next-to-Minimal Supersymmetric Standard Model (NMSSM) using the Feynman-diagrammatic approach in the gaugeless limit at vanishing external momentum. We choose a mixed $\overline{DT}$-on-shell (OS) renormalisation scheme for the Higgs sector and apply both $\overline{DT}$ and OS renormalisation in the top/stop sector. For the treatment of the infrared divergences we apply and compare three different regularisation methods: the introduction of a regulator mass, the application of a small momentum expansion, and the inclusion of the full momentum dependence. Our new corrections have been implemented in the Fortran code NMSSMCALC that computes the Higgs mass spectrum of the CP-conserving and CP-violating NMSSM as well as the Higgs boson decays including the state-of-the-art higher-order corrections. Our numerical analysis shows that the newly computed corrections increase with rising λ and κ, remaining overall below about 3% compared to our previously computed O(αt(αt + αs)) corrections, in the region compatible with perturbativity below the GUT scale. ... mehr

 Zugehörige Institution(en) am KIT Institut für Theoretische Physik (ITP) Publikationstyp Zeitschriftenaufsatz Publikationsjahr 2021 Sprache Englisch Identifikator ISSN: 1029-8479, 1126-6708, 1127-2236 KITopen-ID: 1000139181 Erschienen in Journal of High Energy Physics Verlag Scuola Internazionale Superiore di Studi Avanzati (SISSA) Band 2021 Heft 9 Seiten Article: 193 Bemerkung zur Veröffentlichung Gefördert durch SCOAP3 Nachgewiesen in ScopusWeb of SciencearXiv
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