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Inert Higgs doublet extension of the NMSSM

Department of Physics, Pusan National University, Busan 609-735, Korea

^*bkyae@pusan.ac.kr

Phys. Rev. D 89, 075016 – Published 25 April, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.075016

Abstract

We introduce one pair of inert Higgs doublets ${H_{d}, H_{u}}$ and singlets ${N^{c}, N}$ , and consider their couplings with the Higgs doublets of the minimal supersymmetric standard model (MSSM), $W \supset y_{N} N^{c} h_{u} H_{d} + y_{N}^{'} N h_{d} H_{u}$ . We assign extra $U (1)_{Z^{'}}$ gauge charges only to the extra vectorlike superfields, and so all the MSSM superfields remain neutral under the new $U (1)_{Z^{'}}$ . They can be an extension of the “ $λ$ term,” $W \supset λ S h_{u} h_{d}$ in the next-to MSSM (NMSSM). Because of the $U (1)_{Z^{'}}$ , the maximally allowed low energy value of $y_{N}$ can be lifted up to 0.85, avoiding a Landau pole (LP) below the grand unification scale. Such colorless vectorlike superfields remarkably enhance the radiative MSSM Higgs mass particularly for large $\tan β$ through the $y_{N}$ term and the corresponding holomorphic soft term. As a result, the lower bound of $λ$ and the upper bound of $\tan β$ can be relaxed to disappear from the restricted parameter space of the original NMSSM, $0.6 ≲ λ ≲ 0.7$ and $1 < \tan β ≲ 3$ for a light stop, ${\tilde{m}}_{t} ≳ 700 GeV$ . Thus, the valid parameter space significantly expands up to $0 \leq λ ≲ 0.75$ , $0 \leq y_{N} ≲ 0.88$ , and $2 ≲ \tan β ≲ 50$ , evading the LP problem and also explaining the 126 GeV Higgs mass naturally.

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Inert Higgs doublet extension of the NMSSM

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