Abstract
We study the phenomenology of a keV sterile neutrino in a supersymmetric model with $U(1)_R-$ lepton number in the light of a very recent observation of an X-ray line signal at around 3.5 keV, detected in the X-ray spectra of Andromeda galaxy and various galaxy clusters including the Perseus galaxy cluster. This model not only provides a small tree level mass to one of the active neutrinos but also renders a suitable warm dark matter candidate in the form of a sterile neutrino with negligible active-sterile mixing. Light neutrino masses and mixing can be explained once one-loop radiative corrections are taken into account. The scalar sector of this model can accommodate a Higgs boson with a mass of $\sim$ 125 GeV. In this model gravitino is the lightest supersymmetric particle (LSP) and we also study the cosmological implications of this light gravitino with mass $\sim \mathcal O$(GeV).
Highlights
JHEP10(2014)146 nature, with mass around 125 GeV [24, 25]
We study the phenomenology of a keV sterile neutrino in a supersymmetric model with U(1)R-lepton number in the light of a very recent observation of an X-ray line signal at around 3.5 keV, detected in the X-ray spectra of Andromeda galaxy and various galaxy clusters including the Perseus galaxy cluster
In order to explain the mass of this scalar boson in a natural way, to address the question of nonzero neutrino mass and mixing and to provide a candidate for dark matter, many beyond standard model (BSM) theories have been pursued for quite some time and supersymmetry remains one of the most celebrated ones as of
Summary
We shall mention very briefly about the scalar sector of this particular model. The lightest CP even scalar mass matrix, in the basis of (Hu, ν, S, T ), provide the CP even Higgs boson. It is remarkable that the neutrino Yukawa coupling f renders a tree level correction to the lightest Higgs boson mass, which we calculate as. It is pertinent to mention that the singlet and the triplet fields provide very important loop corrections to the Higgs boson mass. These contributions can be sizable if the singlet and the triplet couplings λS and λT are large. For large λS, λT ∼ O(1), a 125 GeV Higgs boson mass can be accommodated in this model even in the presence of a light stop mass and negligible leftright mixing
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