Abstract
We construct a unified model of inflation and PeV dark matter with an appropriate choice of no-scale Kähler potential, superpotential, and gauge kinetic function in terms of MSSM fields and hidden sector Polonyi field. The model is consistent with the CMB observations and can explain the PeV neutrino flux observed at IceCube HESE. A Starobinsky-like Higgs-sneutrino plateau inflation is obtained from the D-term SUGRA potential while F-term being subdominant during inflation. To get PeV dark matter, SUSY breaking at PeV scale is achieved through Polonyi field. This sets the scale for soft SUSY breaking parameters m0,m1/2,A0 at the GUT scale in terms of the parameters of the model. The low-energy particle spectrum is obtained by running the RGEs. We show that the ~125 GeV Higgs and the gauge coupling unification can be obtained in this model. The 6 PeV bino-type dark matter is a subdominant fraction (~11%) of the relic density, and its decay gives the PeV scale neutrino flux observed at IceCube by appropriately choosing the couplings of the R-parity violating operators. Also, we find that there is degeneracy in scalar field parameters γ,β and coupling ζ value in producing the correct amplitude of CMB power spectrum. However, the value of parameter tanβ=1.8, which is tightly fixed from the requirement of PeV scale SUSY breaking, removes the degeneracy in the values of the scalar field parameters to provide a unique solution for inflation. In this way, it brings the explanation for dark matter, PeV neutrinos, and inflation within the same framework.
Highlights
The 125 GeV Higgs boson found at the Large Hadron Collider (LHC) [1,2,3] completes the spectrum of the standard model but raises the question about what protects the mass of the Higgs at the electroweak scale despite quantum corrections
Supersymmetry [4,5,6] has been widely accepted as the natural symmetry argument for protecting the Higgs and other scalar masses against radiative corrections and in addition provides the unification of the gauge couplings at the GUT scale and WIMP dark matter
The idea of supersymmetry for explaining the Higgs mass without fine-tuning can be abandoned while still retaining some of the positive features like coupling constant unification and WIMP dark matter in split SUSY [13] scenarios where squarks and gluinos are heavy evading the LHC bounds and the electroweakinos are of the TeV scale providing the WIMP dark matter and coupling constant unification
Summary
The 125 GeV Higgs boson found at the Large Hadron Collider (LHC) [1,2,3] completes the spectrum of the standard model but raises the question about what protects the mass of the Higgs at the electroweak scale despite quantum corrections (the gauge hierarchy problem). A PeV scale supersymmetry model with gauge coupling unification, light Higgs (with fine-tuning), and PeV dark matter was introduced in [57, 58] It was found [39] that in order to obtain the large decay time of ~ 1028 sec as required from the observed IceCube neutrino flux, dimension 6 operators suppressed by the GUT scale had to be introduced in the superpotential. The mSUGRA model has only five free parameters including soft SUSY breaking parameters These are the common scalar mass m0, the common gaugino mass m1/2, the common trilinear coupling parameter A0, the ratio of Higgs field vevs tanβ, and the sign of mass parameter μ; all are given at the gauge coupling unification scale.
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