On Flavor Conservation in Weak Interaction Decays Involving Mixed Neutrinos

Blasone, Massimo; Capolupo, Antonio; Ji, Chueng-Ryong; Vitiello, Giuseppe

doi:10.1142/s0217751x10050445

Cited by 27 publications

(19 citation statements)

References 28 publications

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“…In particular, a nontrivial vacuum structure has been discovered in connection with mixing [2], as briefly shown in the Appendix. In this approach, though flavor states for mixed particles are consistently defined as eigenstates of the flavor charges [3,4], it turns out that these states are not representations of the Poincaré group [5].…”

Section: Introductionmentioning

confidence: 99%

Flavor mixing and gauge structure

Blasone¹,

Mauro²,

Vitiello³

2012

AIP Conference Proceedings

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Section: Introductionmentioning

confidence: 99%

Flavor mixing and gauge structure

Blasone¹,

Mauro²,

Vitiello³

2012

AIP Conference Proceedings

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“…Flavor states are defined as eigenstates of such charges and have the form of SU (2) generalized coherent states [13]. In fact, according to Standard Model (SM), the flavor charge is always conserved -at tree level -in the production and detection processes, a feature which is violated by the usual Pontecorvo flavor states [14]. In addition, the exact flavor states cannot be generally phrased as a simple superposition of mass eigenstates, because of the unitary inequivalence of mass and flavor Hilbert spaces [8].…”

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confidence: 99%

Flavor-energy uncertainty relations for neutrino oscillations in quantum field theory

2019

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In the context of quantum field theory, we derive flavor-energy uncertainty relations for neutrino oscillations. By identifying the non-conserved flavor charges with the "clock observables", we arrive at the Mandelstam-Tamm version of time-energy uncertainty relations. In the ultra-relativistic limit these relations yield the well known condition for neutrino oscillations. Ensuing non-relativistic corrections to the latter are explicitly evaluated. The analogy among flavor states and unstable particles and a novel interpretation of our uncertainty relations, based on the unitary inequivalence of Fock spaces for flavor and massive neutrinos, are also discussed.Introduction. -Neutrino mixing and oscillations represent one of the most pressing challenges of modern theoretical and experimental particle physics. They were first introduced by Pontecorvo [1] in a close analogy with the phenomenon of Kaon oscillations [2], and subsequently confirmed in a number of experimental settings [3]. While the quantum mechanical (QM) description [4][5][6] is quite successful in tackling high-energy features of neutrino oscillations, the corresponding quantum field theoretical (QFT) description (which could tackle also the lowenergy behavior) is still controversial [6][7][8][9].

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“…The formalism retrieves the standard Pontecorvo formula for neutrino oscillations [22,23] and gives consistent results in the evaluation of the production-detection vertices of Fig. 1 [16,24] but the demonstrations are highly non-trivial. Finally, the flavor vacuum is not Lorentz invariant being explicitly time-dependent.…”

Section: Flavor Statesmentioning

confidence: 55%

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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On Flavor Conservation in Weak Interaction Decays Involving Mixed Neutrinos

Cited by 27 publications

References 28 publications

Flavor mixing and gauge structure

Flavor mixing and gauge structure

Flavor-energy uncertainty relations for neutrino oscillations in quantum field theory

An Infrared Origin of Leptonic Mixing and Its Test at Deepcore

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