Neutrino oscillations and uncertainty relations

“…The state of the flavor neutrino ν l is a coher ent superposition of states of neutrinos with definite masses (see, for example, [19]) (6) Here is the state of neutrino with mass m i , momentum and energy Small neutrino mass squared differences can be revealed in neutrino experiments with large distances between a source and detector. For the evolution of the flavor neutrino state we have (7) From (7) for the probability of ν l → ν l ' transition we find the following expressions (8) where p is an arbitrary fixed index.…”

Section: Introductionmentioning

confidence: 99%

“…The inequality (9) is the time energy uncertainly relation applied to neutrino oscil lations (see [19]). …”

Section: Introductionmentioning

confidence: 99%

Neutrino in standard model and beyond

Bilenky

2015

Phys. Part. Nuclei

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After discovery of the Higgs boson at CERN the Standard Model acquired a status of the theory of the elementary particles in the electroweak range (up to about 300 GeV). What general conclusions can be inferred from the Standard Model? It looks that the Standard Model teaches us that in the framework of such general prin ciples as local gauge symmetry, unification of weak and electromagnetic interactions and Brout-Englert-Higgs spontaneous breaking of the electroweak symmetry nature chooses the simplest possibilities. Two component left handed massless neutrino fields play crucial role in the determination of the charged current structure of the Stan dard Model. The absence of the right handed neutrino fields in the Standard Model is the simplest, most econom ical possibility. In such a scenario Majorana mass term is the only possibility for neutrinos to be massive and mixed. Such mass term is generated by the lepton number violating Weinberg effective Lagrangian. In this approach three Majorana neutrino masses are suppressed with respect to the masses of other fundamental fermions by the ratio of the electroweak scale and a scale of a lepton number violating physics. The discovery of the neutrinoless double β decay and absence of transitions of flavor neutrinos into sterile states would be evidence in favor of the minimal sce nario we advocate here.

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“…From (47), (48) and (49) it follows that the Majorana mass term (47) takes the following standard form…”

Section: Weinberg Mechanism Of the Neutrino Mass Generationmentioning

confidence: 99%

“…From(80) it follows that in order to resolve a difference between E i and E r the time interval t 1 |Ei−Er| is needed (see[49])…”

mentioning

confidence: 99%

Neutrino Masses from the Point of View of Economy and Simplicity

Bilenky

2019

Phys. Part. Nuclei

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In the framework of such basic principles as local gauge invariance, unification of the weak and electromagnetic interactions and spontaneous symmetry breaking in the Standard Model the most economical and simplest possibilities are realized. We discuss the problem of neutrino masses from the point of view of economy and simplicity. It is unlikely that neutrino masses are of the same SM origin as masses of leptons and quarks. The Weinberg effective Lagrangian is the simplest and the most economical, beyond the Standard Model mechanism of the generation of small Majorana neutrino masses. The resolution of the sterile neutrino anomaly and observation of the neutrinoless double β-decay would be crucial tests of this mechanism.

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Neutrino oscillations and uncertainty relations

Cited by 18 publications

References 52 publications

Neutrino oscillations: from an historical perspective to the present status

Neutrino oscillations: from an historical perspective to the present status

Neutrino in standard model and beyond

Neutrino Masses from the Point of View of Economy and Simplicity

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