Loop-corrected Trilinear Higgs Self-Couplings in the NMSSM with Inverse Seesaw Mechanism

TL;DR

This paper calculates detailed one-loop and two-loop corrections to Higgs self-couplings and mass in the NMSSM with Inverse Seesaw, revealing effects up to 10% and 4.5% respectively, and implements these in a computational tool.

Contribution

It provides the first comprehensive calculation of higher-order corrections in the NMSSM with Inverse Seesaw, including effects from extended neutrino sectors, and updates the NMSSMCALC-nuSS code.

Findings

Corrections can be up to 10% for Higgs self-couplings.

Mass corrections can reach 4.5%.

New effects are consistent with experimental constraints.

Abstract

The higher-order corrections for the SM-like Higgs boson mass and the trilinear Higgs self-couplings in the Next-to-Minimal Supersymmetric extension of the Standard Model (NMSSM) with Inverse Seesaw Mechanism are significant and highly correlated. We present here the full one-loop corrections to the trilinear Higgs self-couplings supplemented by the dominant top-Yukawa and strong coupling induced two-loop corrections from our previous calculations in the complex NMSSM. These corrections are performed consistently with the corresponding Higgs boson mass corrections. We discuss in detail the new effects from the extended neutrino and sneutrino sectors on both the trilinear Higgs self-couplings and the SM-like Higgs boson mass. When compared to the case of the NMSSM without Inverse Seesaw Mechanism, the new effects can be up to 10\% for the effective SM-like trilinear Higgs self-couplings, and up to 4.5\% for the SM-like Higgs boson mass for valid parameter points, i.e. points satisfying the Higgs data, the neutrino data, the constraints from the charged lepton flavor-violating decays, and the new physics constraints from the oblique parameters $S, T, U$. The new corrections are also included in the Higgs-to-Higgs decays for the heavy Higgs states and implemented in the new version of the Fortran code NMSSMCALC-nuSS.