Abstract
Abstract We study neutrino physics in the context of a supersymmetric model where a continuous R-symmetry is identified with the total Lepton Number and one sneutrino can thus play the role of the down type Higgs. We show that R-breaking effects communicated to the visible sector by Anomaly Mediation can reproduce neutrino masses and mixing solely via radiative contributions, without requiring any additional degree of freedom. In particular, a relatively large reactor angle (as recently observed by the Daya Bay collaboration) can be accommodated in ample regions of the parameter space. On the contrary, if the R-breaking is communicated to the visible sector by gravitational effects at the Planck scale, additional particles are necessary to accommodate neutrino data.
Highlights
R-symmetric models [4,5,6] represent an interesting possibility to explore for several reasons
We study neutrino physics in the context of a supersymmetric model where a continuous R-symmetry is identified with the total Lepton Number and one sneutrino can play the role of the down type Higgs
Let us stress again that in our scenario the scale at which Lepton Number is broken is deeply connected with the scale of supersymmetry breaking through the gravitino mass, while in general the Majorana neutrino masses generated through the Weinberg operator call for a very large scale, which may or may not be connected to the scale of supersymmetry breaking
Summary
The R soft SUSY breaking contribution has the same structure as in eq (2.4), but we expect all the terms generated to be of order of the gravitino mass m3/2 and the A-terms not to be aligned to the supersymmetric Yukawa couplings. If instead A = e, a hard Yukawa contribution which generates Yukawa couplings of order ye O(10−6) for all the charged leptons does not give a too large contribution to the μ and τ masses, while providing the correct order of magnitude for an electron mass Since in this case there is no need to introduce any large hierarchy in the new sector, it appears a more natural choice. Conclude that our scenario is a variation of RPV models (with less parameters), as we will see a larger amount of R-parity violation in the neutrino sector than in the standard case will be allowed
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