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Lorentz and CPT Violation in Neutrinos
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A general formalism is presented for violations of Lorentz and CPT symmetry in the neutrino sector. The effective hamiltonian for neutrino propagation in the presence of Lorentz and CPT violation is derived, and its properties are studied. Possible definitive signals in existing and future neutrino-oscillation experiments are discussed. Among the predictions are direction-dependent effects, including neutrino-antineutrino mixing, sidereal and annual variations, and compass asymmetries. Other consequences of Lorentz and CPT violation involve unconventional energy dependences in oscillation lengths and mixing angles. A variety of simple models both with and without neutrino masses are developed to illustrate key physical effects. The attainable sensitivities to coefficients for Lorentz violation in the Standard-Model Extension are estimated for various types of experiments. Many experiments have potential sensitivity to Planck-suppressed effects, comparable to the best tests in other sectors. The lack of existing experimental constraints, the wide range of available coefficient space, and the variety of novel effects imply that some or perhaps even all of the existing data on neutrino oscillations might be due to Lorentz and CPT violation.
Forward citations
Cited by 7 Pith papers
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The Neutrino Kaleidoscope: Searches for Non-Standard Neutrino Oscillations at Neutrino Telescopes with a TeV Muon Accelerator Source
A TeV muon accelerator aimed at a cubic-kilometer neutrino telescope could probe sterile neutrinos and Lorentz violation orders of magnitude beyond current limits.
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Electron stability constrains neutrino time delays
Electron stability observations rule out the subluminal LIV parameters previously used to explain high-energy neutrino time delays.
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When CPT Violation Hides in Plain Sight: How CP Measurements Are Compromised and How to Fix Them
CPT violation parametrized by δΔm²₃₁ induces a phase shift degenerate with δ_CP; existing atmospheric data constrains |δΔm²₃₁| ≤ 0.57×10^{-3} eV² at 90% CL.
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Are neutrinos Majorana? Fixed-target and high-energy astrophysical searches decide
Correlated HNL discovery at SHiP and flavor ratio shifts in astrophysical neutrinos at telescopes would establish neutrinos as Majorana fermions.
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Interplay of CPT-Violating and CPT-Conserving Lorentz Invariance Violation at DUNE
Combined CPT-violating and CPT-conserving Lorentz-invariance-violation parameters suppress DUNE's CP-violation sensitivity below 3σ over much of the δ_CP range and introduce parameter degeneracies that complicate δ_CP...
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Resolving Lorentz-Violating New Physics at ESSnuSB Using High-Statistics Complementarity with T2HK
A combined ESSnuSB+T2HK sensitivity analysis resolves most LIV-induced θ23 octant degeneracies and keeps δCP near −90°, with residual degeneracies for |a_eτ| and a_ee at the 360 km combination.
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Fundamental physics with high-energy cosmic neutrinos today and in the future
High-energy astrophysical neutrinos enable stringent tests of physics beyond the Standard Model at energies and baselines unreachable by other means.
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