Loop-corrected Higgs masses in the NMSSM with inverse seesaw mechanism

Abstract

Abstract In this study, we work in the framework of the Next-to-Minimal extension of the Standard Model (NMSSM) extended by six singlet leptonic superfields. Through the mixing with the three doublet leptonic superfields, the non-zero tiny neutrino masses can be generated through the inverse seesaw mechanism. While R-parity is conserved in this model lepton number is explicitly violated. We quantify the impact of the extended neutrino sector on the NMSSM Higgs sector by computing the complete one-loop corrections with full momentum dependence to the Higgs boson masses in a mixed on-shell- $$\overline{\text{ DR }}$$ DR ¯ renormalization scheme, with and without the inclusion of CP violation. The results are consistently combined with the dominant two-loop corrections at $$\mathcal{O}(\alpha _t(\alpha _s+\alpha _t))$$ O ( α t ( α s + α t ) ) to improve the predictions for the Higgs mixing and the loop-corrected masses. In our numerical study we include the constraints from the Higgs data, the neutrino oscillation data, the charged lepton flavor-violating decays $$l_i \rightarrow l_j + \gamma $$ l i → l j + γ , and the new physics constraints from the oblique parameters S, T, U. We present in this context the one-loop decay width for $$l_i \rightarrow l_j + \gamma $$ l i → l j + γ . The loop-corrected Higgs boson masses are included in the Fortran code NMSSMCALC-nuSS.