Decoupling of the Right-handed Neutrino Contribution to the Higgs Mass in Supersymmetric Models

Abstract

Recently, it has been argued that in the supersymmetric extension of the seesaw-extended Standard Model, heavy right-handed neutrinos and sneutrinos may give corrections as large as a few GeV to the mass of the lightest neutral CP-even Higgs boson, even if the soft supersymmetry-breaking parameters are of order the electroweak scale. The presence of such large corrections would render precise Higgs masses incalculable from measurable low-energy parameters. We show that this is not the case: decoupling is preserved in the appropriate sense and right-handed (s)neutrinos, if they exist, have negligible impact on the physical Higgs masses.

v4: Typographical errors in eqs. (2.11), (2.12) and (2.15) of the EPJC published version have been corrected

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• Two-loop QCD corrections to the MSSM Higgs masses beyond the effective-potential approximation
• 125 GeV Higgs decay with lepton flavor violation in the $\mu \nu$SSM
• Anatomy of Higgs mass in Supersymmetric Inverse Seesaw Models
• Spontaneous R-parity violation in the minimal gauged $(B-L)$ supersymmetry with a $125\mathrm{GeV}$ Higgs
• Radiative corrections to $M_h$ from three generations of Majorana neutrinos and sneutrinos
• Higgs mass from neutrino-messenger mixing