https://doi.org/10.1140/epjc/s10052-018-5978-7
Regular Article - Theoretical Physics
Precise prediction for the Higgs-boson masses in the 
SSM
1
Instituto de Física Teórica UAM-CSIC, Cantoblanco, 28049, Madrid, Spain
2
Campus of International Excellence UAM+CSIC, Cantoblanco, 28049, Madrid, Spain
3
Instituto de Física de Cantabria (CSIC-UC), 39005, Santander, Spain
4
Departamento de Física Teórica, Universidad Autónoma de Madrid (UAM), Campus de Cantoblanco, 28049, Madrid, Spain
* e-mail: thomas.biekotter@csic.es
Received:
30
January
2018
Accepted:
7
June
2018
Published online:
18
June
2018
The 
is a simple supersymmetric extension of the Standard Model (SM) capable of predicting neutrino physics in agreement with experiment. In this paper we perform the complete one-loop renormalization of the neutral scalar sector of the with one generation of right-handed neutrinos in a mixed on-shell/
scheme. The renormalization procedure is discussed in detail, emphasizing conceptual differences to the minimal (MSSM) and next-to-minimal (NMSSM) supersymmetric standard model regarding the field renormalization and the treatment of non-flavor-diagonal soft mass parameters, which have their origin in the breaking of R-parity in the . We calculate the full one-loop corrections to the neutral scalar masses of the . The one-loop contributions are supplemented by available MSSM higher-order corrections. We obtain numerical results for a SM-like Higgs boson mass consistent with experimental bounds. We compare our results to predictions in the NMSSM to obtain a measure for the significance of genuine -like contributions. We only find minor corrections due to the smallness of the neutrino Yukawa couplings, indicating that the Higgs boson mass calculations in the are at the same level of accuracy as in the NMSSM. Finally we show that the can accomodate a Higgs boson that could explain an excess of 
events at 
as reported by CMS, as well as the 
excess of 
events observed at LEP at a similar mass scale.
© The Author(s), 2018
