Theory of Neutrino Oscillations

Giunti, C.

doi:10.1142/9789812702074_0005

Cited by 3 publications

(6 citation statements)

References 51 publications

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“…( 291). On the one hand, the coherent creation of neutrino flavor states is indeed guaranteed from the observations of neutrino oscillations, implying that intrinsic flavor violation effects should be small [48,63,129,130]. If mass-eigenstates were created and detected incoherently, flavor violating effects would be analogous to flavor changing processes for quarks, at tree level, without the explicit appearance of the ∆m 2 dependence.…”

Section: The Bridge To the Quantum Mixingmentioning

confidence: 98%

“…Another aspect of assumption (2) is that the definition of the usual flavor states in Eq. ( 291) is only approximate [130] and it may depend on the details of the creation and detection. Usually, however, the error made is of the order of ∆m 2 /E 2 ν and it can be neglected [130].…”

Section: The Bridge To the Quantum Mixingmentioning

confidence: 99%

“…for 1/Γ ≪ t ≪ L osc , where L osc is the typical flavor oscillation length (period). Therefore, the antineutrino flavor state U αj |ν j is only created jointly with the charged lepton l α [129,130].…”

Section: B Connection With the Ewp Approachmentioning

confidence: 99%

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Quantum flavor oscillations extended to the Dirac theory

Bernardini

Guzzo²,

Nishi

2011

Fortschritte der Physik

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This report deals with the quantum theory of flavor oscillations in vacuum, extended to fermionic particles in the several subtle aspects of the first and second quantization theories. In this scenario, the use of the Dirac equation is required for a satisfactory evolution of fermionic mass-eigenstates since in the standard treatment of oscillations the mass-eigenstates are implicitly assumed to be scalars and, consequently, the spinorial form of neutrino wave functions is not included in the calculations. Within first quantized theories, besides flavor oscillations, chiral oscillations automatically appear when we set the dynamic equations for a fermionic Dirac-type particle. The left-handed chiral nature of created and detected neutrinos can be implemented in the first quantized Dirac theory in presence of mixing; the probability loss due to the changing of initially left-handed neutrinos to the undetected right-handed neutrinos can be obtained in analytic form. In the context of a causal relativistic theory of a free particle, one of the two effects should be present in flavor oscillations: (a) rapid oscillations or (b) initial flavor violation. Concerning second quantized approaches, a simple second quantized treatment exhibits a tiny but inevitable initial flavor violation without the possibility of rapid oscillations. Such effect is a consequence of an intrinsically indefinite but approximately well defined neutrino flavor. The violation effects are shown to be much larger than loop induced lepton flavor violation processes, already present in the standard model in the presence of massive neutrinos with mixing. The conclusions of this report lead to lessons concerning flavor mixing, chiral oscillations, interference between positive and negative frequency components of Dirac equation solutions, and the field formulation of quantum oscillations.Comment: 116 pages, 10 figures (The abstract was suppressed due to online title limitations of the abstract field. See the manuscript for obtaining the complete abstract

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Section: The Bridge To the Quantum Mixingmentioning

confidence: 98%

Section: The Bridge To the Quantum Mixingmentioning

confidence: 99%

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Quantum flavor oscillations extended to the Dirac theory

Bernardini

Guzzo²,

Nishi

2011

Fortschritte der Physik

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“…The standard theory of neutrino oscillations [26] is based on certain assumptions such as i) Neutrinos are relativistic particles ii) Neutrinos are produced or detected in charged current weak interaction processes iii) The propagation time t is equal to the source-detector distance L and iv) The massive neutrino states have the same momentum. Now suppose a | ν α > flavor neutrino beam is generated at the source at space-time point (0,0) and is directed along X-axis to a detector at some distance L from the generation point, then the probability for finding a different flavor state | ν β > at some space-time point (x,t) in the beam at the detector will be given by square of the amplitude term |< ν β (x, t) | ν α (0, 0) >| Hence the oscillation probability is…”

Section: Gaussian Distribution and Mean Square Fluctuations Of Neutrinosmentioning

confidence: 99%

Statistical Approach to study Neutrino Interactions

Hameeda¹,

Gani²

2020

Preprint

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Neutrino oscillation parameters can be understood in a better way by building a more complete picture of neutrino interactions. This poses a series of important theoretical and experimental challenges, given the elusive nature of neutrino and an inherent difficulty in its detection. This work is an attempt to study the neutrino interactions through a purely theoretical approach using the concept of vacuum fluctuation particle pairs, where an antiparticle from a virtual particle pair is captured via annihilation, allowing the matter particle of the virtual pair to become free. Though experiments are trying hard to shed more light on neutrino interactions, our knowledge of neutrino oscillation parameters is not precise at different energy levels. In this context, one cannot help but give a bold try to marvel at how far our theoretical frameworks can extend.

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“…A well collimated and within ∆ | p | / p -or any similar definition of beam momentum spread -'monochromatic' beam is considered as a classical line, lets say along the positive z-axis, defining the mean direction from a definite production point ( x = 0 ) towards a detector, at distance d . But the associated operators for a single beam quantum (20) are subject to the uncertainty principle ( using units = 1 ) . The same is true for energy and time.…”

Section: Neutrino Oscillations -Historical Overviewmentioning

confidence: 99%

A review of neutrino properties Neutrino oscillations - a historical overview and its projection

Minkowski¹

2018

EPJ Web Conf.

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Abstract. In a first part neutrino properties are presented from the beginnings through the letter of Wolfgang Pauli on 4. December 1930 suggesting a new neutral fermion to the "Radioactive Ladies and Gentlemen" at a Conference in Tübingen, contributing to the first oscillation cycle, based on my review at the meeting "Neutrino Telescopes in Venice" in 2005. cited in [1] . In the remaining part I shall present a selection of neutrino properties featuring the structure of mass and mixing of the light and heavy neutrino flavors, a symmetric , complex 6 by 6 matrix within the unifying SO10 gauge group, and present prospects for the detection of the leptonflavor violating processes B s → µ e ; B → K µ e, also such involving b-flavored baryons .

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Theory of Neutrino Oscillations

Cited by 3 publications

References 51 publications

Quantum flavor oscillations extended to the Dirac theory

Quantum flavor oscillations extended to the Dirac theory

Statistical Approach to study Neutrino Interactions

A review of neutrino properties Neutrino oscillations - a historical overview and its projection

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