Neutrino oscillations and Lorentz invariance violation in a Finslerian geometrical model

Antonelli, Vito; Miramonti, L.; Torri, Marco Danilo Claudio

doi:10.1140/epjc/s10052-018-6124-2

Cited by 36 publications

(52 citation statements)

References 54 publications

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“…In a recently proposed model [86,87], denoted ad HMSR (Homogeneously Modified Special Relativity), some sources of LIV are introduced, starting from the modification of the energy-momentum dispersion relation, with a geometrical origin (by using the Finsler geometry) and in such a way to preserve the space time isotropy and build an isotropic CPT conserving extension of the Standard Model. Therefore, the potential experimental effects induced by this kind of LIV would be represented by isotropic corrections to the usual known phenomenology.…”

Section: Search For LIV Signals and Other Exotic Studies At Junomentioning

confidence: 99%

Present and Future Contributions of Reactor Experiments to Mass Ordering and Neutrino Oscillation Studies

Antonelli¹,

Miramonti²,

Ranucci³

2020

Preprint

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After a long a glorious history, marked by the first direct proofs of neutrino existence and of the mixing between the first and third neutrino generations, the reactor antineutrino experiments are still well alive and will continue to give important contributions to the development of elementary particle physics and astrophysics. In parallel to the SBL experiments, that will be dedicated mainly to the search for sterile neutrinos, a new kind of experiments will start playing an important role: the medium baseline reactor experiments, aiming to study the neutrino mass ordering. The first example of this kind, the liquid scintillator JUNO experiment, characterized by a very high mass and unprecedented energy resolution, will soon start data taking in China. Its main aspects are discussed here, together with its potentialities for what concerns the mass ordering investigation and also the other issues that can be studied with this detector, spanning from the accurate oscillation parameter determination, to the study of solar neutrinos, geoneutrinos, atmospheric neutrinos and neutrinos emitted by supernovas and to the search for signals of potential Lorentz invariance violation.

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Section: Search For LIV Signals and Other Exotic Studies At Junomentioning

confidence: 99%

Present and Future Contributions of Reactor Experiments to Mass Ordering and Neutrino Oscillation Studies

Antonelli¹,

Miramonti²,

Ranucci³

2020

Preprint

Self Cite

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“…This approach consists in modifying the dispersion relations describing the free particle propagation. The Dispersion Relations of standard physics, written using the Minkowski metric as E 2 − | − → p | 2 = m 2 ⇒ p μ η μν p ν = m 2 , are modified, following [24,25], to a more general case of Modified Dispersion Relations (MDR):…”

Section: Modified Dispersion Relationsmentioning

confidence: 99%

“…The perturbation form introduced in this work can be justified because it is, for example, a subcase obtained in [3], so it constitutes an interesting physical eventuality per se. Moreover, it is possible to demonstrate that every Modified Dispersion Relation of the form (5) can be approximated with a MDR of type (4), as in [24,25]. In fact, perturbation function f , that preserves rotational symmetry can be rewritten in the form:…”

Section: Modified Dispersion Relationsmentioning

confidence: 99%

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Homogeneously Modified Special relativity (HMSR)

2019

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This work explores a Standard Model extension possibility, that violates Lorentz invariance, preserving the space-time isotropy and homogeneity. In this sense HMSR represents an attempt to introduce an isotropic Lorentz Invariance Violation in the elementary particle SM. The theory is constructed starting from a modified kinematics, that takes into account supposed quantum effects due to interaction with the space-time background. The space-time structure itself is modified, resulting in a pseudo-Finsler manifold. The SM extension here provided is inspired by the effective fields theories, but it preserves covariance, with respect to newly introduced modified Lorentz transformations. Geometry perturbations are not considered as universal, but particle species dependent. Non universal character of the amended Lorentz transformations allows to obtain visible physical effects, detectable in experiments by comparing different perturbations related to different interacting particles species.

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“…This can lead to a different interplay between the momentum and the energy of a particle on the brane (see e.g. [23][24][25]). In other words, the operator changes the dispersion relation E 2 = p 2 + m 2 experienced by an observer on the brane.…”

Section: An Asymmetrically Warped Neutrino Mass Modelmentioning

confidence: 99%

Sterile neutrino shortcuts in asymmetrically warped extra dimensions

Döring

Päs

2019

Eur. Phys. J. C

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Light sterile neutrinos are a popular extension of the Standard Model and are being discussed as a possible explanation for various neutrino oscillation anomalies, including the LSND, MiniBooNE, Reactor and Gallium anomalies. In order to avoid inconsistencies with constraints derived from disappearance experiments and cosmology, altered dispersion relations -which may originate from extra dimensions -have been proposed as a possible solution, dubbed as "neutrino shortcuts in the extra dimension". In this paper we develop a neutrino mass model with an asymmetrically warped extra dimension and two additional gauge singlet neutrinos, one being responsible for neutrino mass generation, while the other one is allowed to propagate in the extra dimension, giving rise to the desired change of the dispersion relation on the brane. By compactifying the extra-dimensional theory on an S 1 /Z 2 orbifold, deriving the shape of the Kaluza-Klein tower and identifying the effective sterile neutrino dispersion relation on the brane, we can demonstrate that the earlier, phenomenological models are recovered as the 4-dimensional effective field theory limit of the model discussed here.

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Neutrino oscillations and Lorentz invariance violation in a Finslerian geometrical model

Cited by 36 publications

References 54 publications

Present and Future Contributions of Reactor Experiments to Mass Ordering and Neutrino Oscillation Studies

Present and Future Contributions of Reactor Experiments to Mass Ordering and Neutrino Oscillation Studies

Homogeneously Modified Special relativity (HMSR)

Sterile neutrino shortcuts in asymmetrically warped extra dimensions

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