On-Shell neutral Higgs bosons in the NMSSM with complex parameters

Abstract

The Next-to-Minimal Supersymmetric Standard model (NMSSM) appears as an interesting candidate for the interpretation of the Higgs-measurement at the LHC and as a rich framework embedding physics beyond the Standard Model. We consider the renormalization of the Higgs sector of this model in its $\mathcal{C}\mathcal{P}$-violating version, and propose a renormalization scheme for the calculation of on-shell Higgs masses. Moreover, the connection between the physical states and the tree-level ones is no longer trivial at the radiative level: a proper description of the corresponding transition thus proves necessary in order to calculate Higgs production and decays at a consistent loop order. After discussing these formal aspects, we compare the results of our mass calculation to the output of existing tools. We also study the relevance of the on-shell transition-matrix in the example of the $h_i\to {\tau }^{+}{\tau }^{-}$ width. We find deviations between our full prescription and popular approximations that can exceed $10\%$.

28 pages, 11 figures

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• About the bosonic decays of heavy Higgs states in the (N)MSSM