Loop-corrected Higgs Masses in the NMSSM with Inverse Seesaw Mechanism

TL;DR

This paper calculates precise one-loop and two-loop corrections to Higgs boson masses in an extended NMSSM model with inverse seesaw neutrino masses, incorporating CP violation and experimental constraints.

Contribution

It provides the first comprehensive computation of loop-corrected Higgs masses in the NMSSM with inverse seesaw, including full momentum dependence and CP violation effects.

Findings

Accurate Higgs mass predictions with extended neutrino sector

Inclusion of CP violation effects in Higgs mass calculations

Implementation of results in the NMSSMCALC-nuSS code

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-$\overline{\mbox{DR}}$ renormalization scheme, with and without the inclusion of CP violation. The results are consistently combined with the dominant two-loop corrections at ${\cal O}(\alpha_t(\alpha_s+\alpha_t))$ 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 $l_i \to l_j + \gamma$, and the new physics constraints from the oblique parameters $S,T,U$. We present in this context the one-loop decay width for $l_i \to l_j + \gamma$. The loop-corrected Higgs boson masses are included in the Fortran code NMSSMCALC-nuSS.