Probing nonstandard lepton number violating interactions in neutrino oscillations

Abstract

We discuss lepton number violating processes in the context of long-baseline neutrino oscillations. We summarise and compare neutrino flavour oscillations in quantum mechanics and quantum field theory, both for standard oscillations and for those that violate lepton number. When the active neutrinos are Majorana in nature, the required helicity reversal gives a strong suppression by the neutrino mass over the energy, $(m_{\nu }/E_{\nu }{)}^2$. Instead, the presence of non-standard lepton number violating interactions incorporating right-handed lepton currents at production or detection alleviate the mass suppression while also factorising the oscillation probability from the total rate. Such interactions arise from dimension-six operators in the low energy effective field theory of the Standard Model. We derive general and simplified expressions for the lepton number violating oscillation probabilities and use limits from MINOS and KamLAND to place bounds on the interaction strength in interplay with the unknown Majorana phases in neutrino mixing. We compare the bounds with those from neutrinoless double beta decay and other microscopic lepton number violating processes and outline the requirements for future short- and long-baseline neutrino oscillation experiments to improve on the existing bounds.

33 pages, 9 figures

References in corpus (25)

• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• Status of non-standard neutrino interactions
• Search for squarks and gluinos with the ATLAS detector in final states with jets and missing transverse momentum using $\sqrt{s}=8$ TeV proton--proton collision data
• Non-Standard Neutrino Interactions with Matter from Physics Beyond the Standard Model
• General bounds on non-standard neutrino interactions
• Physics Potential of a Long Baseline Neutrino Oscillation Experiment Using J-PARC Neutrino Beam and Hyper-Kamiokande
• Neutrino mass from Cosmology
• Non-standard neutrino interactions in reactor and superbeam experiments
• COHERENT constraints on nonstandard neutrino interactions
• A Survey of Lepton Number Violation Via Effective Operators
• Same Sign versus Opposite Sign Dileptons as a Probe of Low Scale Seesaw Mechanisms
• Degeneracy between ${\theta }_{23}$ octant and neutrino non-standard interactions at DUNE
• Nonstandard neutrino interactions at DUNE, T2HK and T2HKK
• Interpretation of MINOS data in terms of non-standard neutrino interactions
• Quasi-Dirac neutrinos at the LHC
• Two modes of searching for new neutrino interactions at MINOS
• Effects of non-standard interactions in the MINOS experiment
• Loop bounds on non-standard neutrino interactions
• Extended Black Box Theorem for Lepton Number and Flavor Violating processes
• Non-standard interactions with high-energy atmospheric neutrinos at IceCube
• Sensitivity of the T2HKK experiment to the non-standard interaction
• Properties of CP Violation in Neutrino-Antineutrino Oscillations
• Searches for Lepton Number Violation and Resonances in $K^{\pm }\to \pi \mu \mu$ Decays
• Constraining new physics scenarios in neutrino oscillations from Daya Bay data
• ${\mathbf{\mu }}^{-}$- ${\mathbf{e}}^{+}$ conversion in upcoming LFV experiments

Cited by in corpus (2)

• Dirac neutrinos and $N_{\mathrm{eff}}$
• General neutrino interactions with sterile neutrinos in light of coherent neutrino-nucleus scattering and meson invisible decays