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Higgs boson mass, neutrino masses and mixing and keV dark matter in an $U(1)_R-$ lepton number model | | Sabyasachi Chakraborty
; Sourov Roy
; | | Date: |
25 Sep 2013 | | Abstract: | We discuss neutrino masses and mixing in the framework of a supersymmetric
model with an $U(1)_{R}$ symmetry, consisting of a single right handed neutrino
superfield with an appropriate R charge. The lepton number ($L$) of the
standard model fermions are identified with the negative of their R-charges. As
a result, a subset of leptonic R-parity violating operators can be present and
are consistent with the $U(1)_R$ symmetry. This model can produce one light
Dirac neutrino mass at the tree level without the need of introducing a very
small neutrino Yukawa coupling. We analyze the scalar sector of this model in
detail paying special attention to the mass of the lightest Higgs boson. One of
the sneutrinos might acquire a substantial vacuum expectation value leading to
interesting phenomenological consequences. Different sum rules involving the
physical scalar masses are obtained and we show that the lightest Higgs boson
mass receives a contribution proportional to the square of the neutrino Yukawa
coupling $f$. This allows for a 125 GeV Higgs boson at the tree level for $f
sim {cal O} (1)$ and still having a small tree level mass for the active
neutrino. In order to fit the experimental results involving neutrino masses
and mixing angles we introduce a small breaking of $U(1)_R$ symmetry, in the
context of anomaly mediated supersymmetry breaking. In the presence of this
small R-symmetry breaking, light neutrino masses receive contributions at the
one-loop level involving the R-parity violating interactions. We also identify
the right handed sterile neutrino as a warm dark matter candidate in our model.
In the case of R-symmetry breaking, the large $f$ case is characterized by a
few hundred MeV lightest neutralino as an unstable lightest supersymmetric
particle (LSP) and we briefly discuss the cosmological implications of such a
scenario. | | Source: | arXiv, 1309.6538 | | Services: | Forum | Review | PDF | Favorites | |
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