Effects of CP Violation from Neutral Heavy Fermions on Neutrino Oscillations, and the LSND/MiniBooNE Anomalies

Abstract

Neutrinos may mix with ultralight fermions, which gives flavor oscillations, and with heavier fermions, which yields short distance flavor change. I consider the case where both effects are present. I show that in the limit where a single oscillation length is experimentally accessible, the effects of heavier fermions on neutrino oscillations can generically be accounted for by a simple formula containing four parameters, including observable CP violation. I consider the anomalous LSND and MiniBooNE results, and show that these can be fit in a model with CP violation and two additional sterile neutrinos, one in the mass range between 0.1 and 20 eV, and the other with mass between 33 eV and 40 GeV. I also show that this model can avoid conflict with constraints from existing null short baseline experimental results.

12 pages, 3 figures

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• Testing New Physics Explanations of MiniBooNE Anomaly at Neutrino Scattering Experiments
• Searching for eV-scale sterile neutrinos with eight years of atmospheric neutrinos at the IceCube neutrino telescope
• Light Sterile Neutrinos: Status and Perspectives
• Exploring a Non-Minimal Sterile Neutrino Model Involving Decay at IceCube and Beyond
• Three Twin Neutrinos: Evidence from LSND and MiniBooNE
• Minimal models with light sterile neutrinos
• Light Sterile Neutrinos and Short Baseline Neutrino Oscillation Anomalies
• Lepton-Jets and Low-Mass Sterile Neutrinos at Hadron Colliders
• Implications of sterile neutrinos for medium/long-baseline neutrino experiments and the determination of ${\theta }_{13}$
• Neutrino Oscillation Probabilities in Matter with Direct and Indirect Unitarity Violation in the Lepton Mixing Matrix
• Neutrino Phenomenology in a 3+1+1 Framework
• MeV dark matter in the 3+1+1 model
• Appearance-Disappearance Relation in 3+$N_s$ Short-Baseline Neutrino Oscillations
• Minimal 3+2 sterile neutrino model at LBNE
• A model for Neutrino Masses and Dark Matter with the Discrete Gauge Symmetry
• $B-L$ model with $A_4\times Z_3\times Z_4$ symmetry for $3+1$ active$-$sterile neutrino mixing
• Lepton masses and mixings, and muon anomalous magnetic moment in an extended $B-L$ model with type I seesaw mechanism
• Search for Sub-eV Sterile Neutrinos in the Precision Multiple Baselines Reactor Antineutrino Oscillation Experiments
• Lepton number violating effects in neutrino oscillations
• Oscillations Beyond Three-Neutrino Mixing
• The NESSiE Concept for Sterile Neutrinos