https://doi.org/10.1140/epjc/s10052-019-7175-8
Regular Article - Theoretical Physics
Precise prediction for the Higgs-Boson masses in the 
SSM with three right-handed neutrino superfields
1
Instituto de Física Teórica UAM-CSIC, Cantoblanco, 28049, Madrid, Spain
2
Departamento de Física Teórica, Universidad Autónoma de Madrid (UAM), Campus de Cantoblanco, 28049, Madrid, Spain
3
Campus of International Excellence UAM+CSIC, Cantoblanco, 28049, Madrid, Spain
4
Instituto de Física de Cantabria (CSIC-UC), 39005, Santander, Spain
* e-mail: thomas.biekotter@csic.es
Received:
9
July
2019
Accepted:
29
July
2019
Published online:
8
August
2019
The 
is a simple supersymmetric extension of the Standard Model (SM) capable of describing neutrino physics in agreement with experiments. We perform the complete one-loop renormalization of the neutral scalar sector of the with three generation of right-handed neutrinos in a mixed on-shell/
scheme. 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, while simultaneously agreeing with neutrino oscillation data. We illustrate the distinct phenomenology of the in scenarios in which one or more right-handed sneutrinos are lighter than the SM-like Higgs boson, which might be substantially mixed with them. These scenarios are experimentally accessible, on the one hand, through direct searches of the right-handed sneutrinos decaying into SM particles, and on the other hand, via the measurements of the SM-like Higgs-boson mass and its couplings. In this way the parameter space of the can be probed without the need to propose model dependent searches at colliders. Finally, we demonstrate how the can simultaneously accommodate two excesses measured at LEP and LHC at 
at the 
level, while at the same time reproducing neutrino masses and mixings in agreement with neutrino oscillation measurements.
© The Author(s), 2019
