Neutrinos with Lorentz-violating operators of arbitrary dimension

By A. Kostelecky, Matthew Mewes. 2011

233 citations recorded by the source corpus.

The behavior of fermions in the presence of Lorentz and CPT violation is studied. Allowing for operators of any mass dimension, we classify all Lorentz-violating terms in the quadratic Lagrange density for free fermions. The result is adapted to obtain the effective hamiltonian describing the propagation and mixing of three flavors of left-handed neutrinos in the presence of Lorentz violation involving operators of arbitrary mass dimension. A characterization of the neutrino coefficients for Lorentz violation is provided via a decomposition using spin-weighted spherical harmonics. The restriction of the general theory to various special cases is discussed, including among others the renormalizable limit, the massless scenario, flavor-blind and oscillation-free models, the diagonalizable case, and several isotropic limits. The formalism is combined with existing data on neutrino oscillations and kinematics to extract a variety of measures of coefficients for Lorentz and CPT violation. For oscillations, we use results from the short-baseline experiments LSND and MiniBooNE to obtain explicit sensitivities to effects from flavor-mixing Lorentz-violating operators up to mass dimension 10, and we present methods to analyze data from long-baseline experiments. For propagation, we use time-of-flight measurements from the supernova SN1987A and from a variety of experiments including MINOS and OPERA to constrain oscillation-free Lorentz-violating operators up to mass dimension 10, and we discuss constraints from threshold effects in meson decays and Cherenkov emission.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/97d2728d750b04aa7a9936ac49495c779c05046c

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Citations in the corpus

Deep Underground Neutrino Experiment (DUNE), Far Detector Technical Design Report, Volume II: DUNE Physics (2020, background): “The corresponding standard-model extension (SME) coefficients controlling these effects are called oscillation-free coefficients [236].”
Tests of Lorentz invariance: a 2013 update (2013, background): “(This has been later extended to non-rotationally invariant operators in [118, 115].”
Long-Baseline Neutrino Facility (LBNF) and Deep Underground Neutrino Experiment (DUNE) Conceptual Design Report Volume 1: The LBNF and DUNE Projects (2015, background): “As another example of a probe of new physics with supernova neutrinos or antineutrinos, a class of tests of Lorentz and CPT violation involves comparing the propagation of neutrinos with other species or of neutrinos of the same flavor but different energies [83, 145, 84, 146].”
Long-Baseline Neutrino Facility (LBNF) and Deep Underground Neutrino Experiment (DUNE) Conceptual Design Report Volume 2: The Physics Program for DUNE at LBNF (2015, background): “As another example of a probe of new physics with supernova neutrinos or antineutrinos, a class of tests of Lorentz and CPT violation involves comparing the propagation of neutrinos with other species or of neutrinos of the same flavor but different energies [83, 145, 84, 146].”
IceCube-Gen2: the window to the extreme Universe (2020, background): “IceCube-Gen2 can add both an increase in statistics of high-energy atmospheric neutrinos, as well as a high-statistics observation of cosmic neutrinos that could provide unprecedented sensitivity to the parameters quantifying the deviation from Standard Model physics [281, 306, 308, 311, 313, 317– 3”