Abstract
Supersymmetric (SUSY) extension of the Standard Model (SM) is a primary candidate for new physics beyond the SM. If SUSY breaking scale is very low, for example, the multi-TeV range, and the SUSY breaking sector, except for the goldstino (gravitino), is decoupled from the low energy spectrum, the hidden sector effect in the minimal SUSY SM (MSSM) is well described by employing the goldstino chiral superfield ($X$) with the nilpotent condition of $X^2=0$. Although this so-called "nonlinear MSSM" (NL-MSSM) provides a variety of interesting phenomenologies, there is a cosmological problem that the lightest superpartner gravitino is too light to be the major component of the dark matter (DM) in our universe. To solve this problem, we propose a minimal extension of the NL-MSSM by introducing a parity-odd SM singlet chiral superfield ($\Phi$). We show that the interaction of the scalar component in $\Phi$ with the MSSM Higgs doublets is induced after eliminating F-component of the goldstino superfield and the lightest real scalar in $\Phi$ plays the role of the Higgs-portal DM. With a suitable choice of the model parameters, a successful Higgs-portal DM scenario can be realized while achieving the SM-like Higgs boson mass of 125 GeV from the tree-level Higgs potential through the multi-TeV SUSY breaking effect.
Highlights
The current experimental data show no plausible evidence of new physics beyond the Standard Model (SM), the minimal supersymmetric (SUSY) extension of the SM (MSSM) is still a primary candidate for new physics
As has been well-known and intensively studied, the MSSM provides us with a solution to the gauge hierarchy problem and offers a variety of interesting phenomenologies, such as the origin of the electroweak symmetry breaking from SUSY breaking, the SM-like Higgs boson mass prediction with soft SUSY breaking parameters, the lightest superpartner (LSP) as a natural candidate for the dark matter (DM) in our Universe, and the grand unified theory paradigm with the successful unification of the three SM gauge couplings at the scale of Oð1016 GeVÞ
We propose a minimal extension of the nonlinear MSSM” (NL-MSSM) by introducing a Z2-parity odd SM gauge singlet chiral superfield Φ and show that the lightest scalar component in Φ plays the role of the Higgs-portal DM [10,11]1 through its coupling with the MSSM Higgs doublets induced by the Goldstino superfield
Summary
The current experimental data show no plausible evidence of new physics beyond the Standard Model (SM), the minimal supersymmetric (SUSY) extension of the SM (MSSM) is still a primary candidate for new physics. Assuming the decoupling of the hidden sector fields except for the light gravitino (or, equivalently, Goldstino), the low energy effective theory involving the very light gravitino can be described by employing a Goldstino chiral superfield X with the nilpotent condition X2 1⁄4 0 [2,3,4] With this formalism, the phenomenology of the MSSM with the Goldstino superfield has been studied in detail [5,6,7] The SUSY breaking order parameter f ≲ Oð100Þ TeV gives the extremely light gravitino with mass m3=2 ≲ 10 eV in the NL-MSSM Such a light gravitino is harmless in the phenomenological point of view If SUSY breaking scale lies in the multi-TeV range, the SM-like Higgs boson mass of 125 GeV can be achieved by the tree-level Higgs potential through the low-scale SUSY breaking effect
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