Flavor mixing and gauge structure

Blasone, Massimo; Mauro, Marco Di; Vitiello, Giuseppe

doi:10.1063/1.4727991

Cited by 4 publications

(18 citation statements)

References 9 publications

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“…[37] for a more detailed treatment). Up to now, indeed, flavor mixing in the quantum field theory framework has been analyzed only within the usual plane-wave representation.…”

Section: Discussionmentioning

confidence: 99%

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Nonthermal signature of the Unruh effect in field mixing

2017

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Mixing transformations for a uniformly accelerated observer (Rindler observer) are analyzed within the quantum field theory framework as a basis for investigating gravitational effects on flavor oscillations. In particular, the case of two charged boson fields with different masses is discussed.In spite of such a minimal setting, the standard Unruh radiation is found to loose its characteristic thermal interpretation due to the interplay between the Bogolubov transformation hiding in field mixing and the one arising from the Rindler spacetime structure. The modified spectrum detected by the Rindler observer is explicitly calculated in the limit of small mass difference.

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“…[37] for a more detailed treatment). Up to now, indeed, flavor mixing in the quantum field theory framework has been analyzed only within the usual plane-wave representation.…”

Section: Discussionmentioning

confidence: 99%

“…(37), (38) are related to the "mass" operators for an inertial observer by the combination of two Bogolubov transformations, the one arising from the Rindler spacetime structure, the other associated with flavor mixing.…”

Section: Flavor Mixing Transformations For An Accelerated Observermentioning

confidence: 99%

Nonthermal signature of the Unruh effect in field mixing

2017

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“…The most direct way to seeing this goes through the Euler-Lagrange equations corresponding to the Lagrangian (1). These can be compactly written as [11] iD…”

Section: Flavor Mixing As a Non-abelian Gauge Theorymentioning

confidence: 99%

“…The energy momentum tensor associated with the flavor neutrino fields in interaction with the external gauge field is given by [11]:…”

Section: Flavor Mixing As a Non-abelian Gauge Theorymentioning

confidence: 99%

“…Interestingly enough, these difficulties can be bypassed by considering mixing not as an inherent property of the fields (or their associated particles), but as the result of an interaction of non-oscillatory flavor fields with an additional background vector field [5,11]. In this paper we put forward two possible scenarios in which such a background field can find a natural basis.…”

Section: Introductionmentioning

confidence: 99%

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On the emergence of flavor mixing through interaction with an external vector field

Blasone

Jizba

2012

J. Phys.: Conf. Ser.

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We consider the possibility that two-flavor neutrino mixing can be viewed as resulting from the interaction of two non-mixed flavor neutrinos with an external vector field. Two distinct scenarios of the origin of such a vector field are presented. First we argue that the vector field might be understood as an su(2) gauge field. In the second scenario we put forward the idea that the vector field can be identified with a Nambu-Goldstone vector field which results form a spontaneous symmetry breakdown of the Lorentz symmetry. Phenomenological implications of these pictures are briefly discussed.

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An Infrared Origin of Leptonic Mixing and Its Test at Deepcore

Terranova

2011

Int. J. Mod. Phys. A

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Fermion mixing is generally believed to be a low-energy manifestation of an underlying theory whose energy scale is much larger than the electroweak scale. In this paper we investigate the possibility that the parameters describing lepton mixing actually arise from the low-energy behavior of the neutrino interacting fields. In particular, we conjecture that the measured value of the mixing angles for a given process depends on the number of unobservable flavor states at the energy of the process. We provide a covariant implementation of such conjecture, draw its consequences in a two neutrino family approximation and compare these findings with current experimental data. Finally we show that this infrared origin of mixing will be manifest at the Ice Cube DeepCore array, which measures atmospheric oscillations at energies much larger than the tau lepton mass; it will hence be experimentally tested in a short time scale.

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Flavor mixing and gauge structure

Abstract: We show that neutrino mixing can be viewed as the result of the interaction of on-shell neutrinos with an external vector field. Phenomenological implications of this picture are discussed. The extension to the case of boson mixing is outlined.

Cited by 4 publications

References 9 publications

Nonthermal signature of the Unruh effect in field mixing

Nonthermal signature of the Unruh effect in field mixing

On the emergence of flavor mixing through interaction with an external vector field

An Infrared Origin of Leptonic Mixing and Its Test at Deepcore

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