Abstract

Abstract We derive bounds on the mixing between the Standard Model (“active”) neutrinos and their right-chiral (“sterile”) counterparts in the see-saw models, by combining neutrino oscillation data and results of direct experimental searches. We demonstrate that the mixing of sterile neutrinos with any active flavour can be significantly suppressed for the values of the angle θ 13 measured recently by Daya Bay and RENO experiments. We reinterpret the results of searches for sterile neutrinos by the PS191 and CHARM experiments, considering not only charged current but also neutral current-mediated decays, as applicable in the case of see-saw models. The resulting lower bounds on sterile neutrino lifetime are up to an order of magnitude stronger than previously discussed in the literature. Combination of these results with the upper bound on the lifetime coming from primordial nucleosynthesis rule out the possibility that two sterile neutrinos with the masses between 10 MeV and the pion mass are solely responsible for neutrino flavour oscillations. We discuss the implications of our results for the Neutrino Minimal Standard Model (the νMSM).

Highlights

  • To their Standard Model (SM) counterparts via the Yukawa interaction, providing the Dirac masses, Md, for neutrinos

  • The resulting lower bounds on sterile neutrino lifetime are up to an order of magnitude stronger than previously discussed in the literature. Combination of these results with the upper bound on the lifetime coming from primordial nucleosynthesis rule out the possibility that two sterile neutrinos with the masses between 10 MeV and the pion mass are solely responsible for neutrino flavour oscillations

  • For the models (2.2), the compilation of constraints on various combinations of activesterile mixing angles

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Summary

Sterile neutrino Lagrangian

The minimal way to add sterile neutrinos to the Standard Model is provided by the Type I see-saw model [7,8,9,10] (see [24,25,26,27] and refs. therein):. Where FαI are new Yukawa couplings, Φi is the SM Higgs doublet, Φi = ǫijΦ†j This model is renormalizable, has the same gauge symmetries as the Standard Model, and contains N additional Weyl fermions NI — sterile neutrinos (NIc being the charge-conjugate fermion, in the chiral representation of Dirac γ-matrices NIc = iγ2NI†). The νMSM model contains 3 sterile neutrinos, whose masses are roughly of the order of those of other leptons in the Standard Model Two of these particles (approximately degenerate in their mass) are responsible for baryogenesis and neutrino oscillations and the third one is playing the role of dark matter. We limit our analysis by Ms ≤ 2 GeV, as for the higher masses the existing experimental bounds do not probe the region of mixing angles, required to produce successful baryogenesis in the νMSM [31]

Solution of the see-saw equations
Parametrization of the Dirac mass matrix
Normal hierarchy
Inverted hierarchy
Minimal mixing angles in the νMSM
Experimental bounds on sterile neutrino mixings
Peak searches
Fixed target experiments and neutral currents contribution
Reinterpretation of the PS191 and CHARM experiments
A note on Majorana vs Dirac neutrinos
The lower bound on the lifetime of sterile neutrinos
Discussion
A Sterile neutrino lifetime
B PMNS parametrization
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