Abstract
We study the phenomenology of neutrino decay together with neutrino oscillations in the context of eV-scale sterile neutrinos. We review the formalism of visible neutrino decay in which one of the decay products is a neutrino that potentially can be observed. We apply the formalism developed for decay to the recent sterile neutrino search performed by IceCube with TeV neutrinos. We show that for $\nu_4$ lifetime $\tau_4/m_4 \lesssim 10^{-16} {\rm eV^{-1}s}$, the interpretation of the high-energy IceCube analysis can be significantly changed.
Highlights
Oscillations between the three active flavors of neutrinos, νe, νμ, and ντ, have been definitively observed [1,2]
There remain anomalies in accelerator [4,5,6], reactor [7], and radioactive source [8] experiments that do not fit this model well. These anomalies are often explained by introducing a new neutrino state, νs, that does not participate in the Standard Model (SM) weak interactions, the name sterile neutrino
III we develop our framework for models of neutrino oscillation with neutrino decay for two scenarios
Summary
Oscillations between the three active flavors of neutrinos, νe, νμ, and ντ, have been definitively observed [1,2]. There remain anomalies in accelerator [4,5,6], reactor [7], and radioactive source [8] experiments that do not fit this model well These anomalies are often explained by introducing a new neutrino state, νs, that does not participate in the Standard Model (SM) weak interactions, the name sterile neutrino. Searches for sterile neutrinos performed by the IceCube [9,10], MINOS [11], Super-Kamiokande [12], KARMEN [13], MiniBooNE/SciBooNE [14], and CDHS [15] collaborations have found null results This has produced increasing tension between the favored regions of parameter space found in global fits to short-baseline data and null results [16,17,18,19].
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