# Neutrino oscillations and uncertainty relations

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F. von Feilitzsch, Dec 20, 2013 Available from:- [Show abstract] [Hide abstract]

**ABSTRACT:**We present a formalism for the flavor oscillation of unstable particles that relies only upon the structure of the time Fourier-transformed two-point Green's function. We derive exact oscillation probability and integrated oscillation probability formulae, and verify that our results reproduce the known results for both neutrino and neutral meson oscillation in the expected regimes of parameter space. The generality of our approach permits us to investigate flavor oscillation in exotic parameter regimes, and present the corresponding oscillation formulae.Physical review D: Particles and fields 03/2011; 85(4). DOI:10.1103/PhysRevD.85.045006 · 4.86 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**The Pontecorvo-Maki-Nakagava-Sakata (PMNS) modified electroweak Lagrangian yields, within the perturbative kinematical procedure in the massive neutrino Fock space, in addition to the Lorentz invariant standard model (SM) neutrino and antineutrino cross-sections, also the "infinitesimal" neutrino and antineutrino cross-sections some of which are either conserving or violating the Lorentz symmetry as well as also either conserving or violating the flavor symmetry. Some of these infinitesimal differential cross-sections can be extended into the space oscillation region beyond the collision point. The extension goes along the baseline defined by the flavor neutrino or antineutrino scattering angle. Each of these oscillation differential cross-sections, being sinusoidal, change sign along the baseline; some start positive and some negative at the collision point. For each of them one seeks the baseline distance to the first differential cross-section maximum. - [Show abstract] [Hide abstract]

**ABSTRACT:**If the neutrino analogue of the Mössbauer effect, namely, recoiless emission and resonant capture of neutrinos is realized, one can study neutrino oscillations with much shorter baselines and smaller source/detector size when compared to conventional exper-iments. In this work, we discuss the potential of such a Mössbauer neutrino oscillation experiment to probe nonstandard neutrino properties coming from some new physics be-yond the standard model. We investigate four scenarios for such new physics that modify the standard oscillation pattern. We consider the existence of a light sterile neutrino that can mix with ¯ ν e , the existence of a Kaluza-Klein tower of sterile neutrinos that can mix with the flavor neutrinos in a model with large flat extra dimensions, neutrino oscillations with nonstandard quantum decoherence and mass varying neutrinos, and discuss to which extent one can constrain these scenarios. We also discuss the impact of such new physics on the determination of the standard oscillation parameters.Journal of High Energy Physics 01/2012; 11. DOI:10.1007/JHEP11(2011)136 · 6.22 Impact Factor