Neutrino oscillations and Lorentz invariance violation in a Finslerian geometrical model

Abstract Neutrino oscillations are one of the first evidences of physics beyond the Standard Model (SM). Since Lorentz invariance is a SM fundamental symmetry, recently also neutrino physics has been explored to verify this symmetry eventual modification and its potential magnitude. In this work we...

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Main Authors: Vito Antonelli, L. Miramonti, M. D. C. Torri
Format: Article
Language:English
Published: SpringerOpen 2018-08-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-018-6124-2
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author Vito Antonelli
L. Miramonti
M. D. C. Torri
author_facet Vito Antonelli
L. Miramonti
M. D. C. Torri
author_sort Vito Antonelli
collection DOAJ
description Abstract Neutrino oscillations are one of the first evidences of physics beyond the Standard Model (SM). Since Lorentz invariance is a SM fundamental symmetry, recently also neutrino physics has been explored to verify this symmetry eventual modification and its potential magnitude. In this work we study the Lorentz invariance violation (LIV) introduction consequences in the high energy neutrinos propagation and evaluate the impact of this eventual violation on the oscillations predictions. An effective theory explaining these physical effects is introduced via modified dispersion relations. This approach, originally introduced by Coleman and Glashow, corresponds in our model to a special relativity geometry modification. Moreover, this perspective generalization leads to the introduction of a maximum attainable velocity which is specific of the particle. This can be formalized in Finsler geometry, a more general theory of space-time. In the present paper the impact of this kind of LIV on neutrino phenomenology is studied, in particular by analyzing the corrections introduced in neutrino oscillation probabilities for different values of neutrino energies and baselines of experimental interest. The possibility of further improving the present constraints on CPT-even LIV coefficients by means of our analysis is also discussed.
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spelling doaj.art-0e0cada0228d4a9caa30696a6edc8e652022-12-22T00:48:43ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-08-0178811310.1140/epjc/s10052-018-6124-2Neutrino oscillations and Lorentz invariance violation in a Finslerian geometrical modelVito Antonelli0L. Miramonti1M. D. C. Torri2Dipartimento di Fisica, Università degli Studi di MilanoDipartimento di Fisica, Università degli Studi di MilanoDipartimento di Fisica, Università degli Studi di MilanoAbstract Neutrino oscillations are one of the first evidences of physics beyond the Standard Model (SM). Since Lorentz invariance is a SM fundamental symmetry, recently also neutrino physics has been explored to verify this symmetry eventual modification and its potential magnitude. In this work we study the Lorentz invariance violation (LIV) introduction consequences in the high energy neutrinos propagation and evaluate the impact of this eventual violation on the oscillations predictions. An effective theory explaining these physical effects is introduced via modified dispersion relations. This approach, originally introduced by Coleman and Glashow, corresponds in our model to a special relativity geometry modification. Moreover, this perspective generalization leads to the introduction of a maximum attainable velocity which is specific of the particle. This can be formalized in Finsler geometry, a more general theory of space-time. In the present paper the impact of this kind of LIV on neutrino phenomenology is studied, in particular by analyzing the corrections introduced in neutrino oscillation probabilities for different values of neutrino energies and baselines of experimental interest. The possibility of further improving the present constraints on CPT-even LIV coefficients by means of our analysis is also discussed.http://link.springer.com/article/10.1140/epjc/s10052-018-6124-2
spellingShingle Vito Antonelli
L. Miramonti
M. D. C. Torri
Neutrino oscillations and Lorentz invariance violation in a Finslerian geometrical model
European Physical Journal C: Particles and Fields
title Neutrino oscillations and Lorentz invariance violation in a Finslerian geometrical model
title_full Neutrino oscillations and Lorentz invariance violation in a Finslerian geometrical model
title_fullStr Neutrino oscillations and Lorentz invariance violation in a Finslerian geometrical model
title_full_unstemmed Neutrino oscillations and Lorentz invariance violation in a Finslerian geometrical model
title_short Neutrino oscillations and Lorentz invariance violation in a Finslerian geometrical model
title_sort neutrino oscillations and lorentz invariance violation in a finslerian geometrical model
url http://link.springer.com/article/10.1140/epjc/s10052-018-6124-2
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AT lmiramonti neutrinooscillationsandlorentzinvarianceviolationinafinsleriangeometricalmodel
AT mdctorri neutrinooscillationsandlorentzinvarianceviolationinafinsleriangeometricalmodel