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Three-neutrino mixing in matter is studied through a set of evolution equations which are based on a rephasing invariant parametrization. Making use of the known properties of measured neutrino parameters, analytic, approximate, solutions…

High Energy Physics - Phenomenology · Physics 2015-03-13 S. H. Chiu , T. K. Kuo , Lu-Xin Liu

Cosmological determinations of the number of relativistic neutrino species, $N^{ }_{\rm eff}$, are becoming increasingly accurate, and further improvements are expected both from CMB and BBN data. Given this context, we update the…

High Energy Physics - Phenomenology · Physics 2026-02-16 M. Escudero , G. Jackson , M. Laine , S. Sandner

We derive a suite of generalized Boltzmann equations, based on the density-matrix formalism, that incorporates the physics of neutrino oscillations for two- and three-flavor oscillations, matter refraction, and self-refraction. The…

High Energy Physics - Phenomenology · Physics 2015-06-17 Yunfan Zhang , Adam Burrows

The various experiments on neutrino oscillation evidenced that neutrinos have indeed non-zero masses but cannot tell us the absolute neutrino mass scale. This scale of neutrino masses is very important for understanding the evolution and…

High Energy Physics - Experiment · Physics 2013-09-05 Christian Weinheimer , Kai Zuber

We derive the neutrino oscillation probability in vacuum using scattering theory methods developed earlier in the context of collider physics. It is computed from Feynman diagrams that combine neutrino production and detection processes…

High Energy Physics - Phenomenology · Physics 2025-05-29 Ilian Dobrev , Kirill Melnikov , Thomas Schwetz

In dense neutrino backgrounds present in supernovae and in the early Universe neutrino oscillations may exhibit complex collective phenomena, such as synchronized oscillations, bipolar oscillations and spectral splits and swaps. We consider…

High Energy Physics - Phenomenology · Physics 2016-05-23 Evgeny Akhmedov , Alessandro Mirizzi

We study matter effects on oscillations of high-energy neutrinos in the Universe. Substantial effect can be produced by scattering of the neutrinos from cosmological sources ($z\gta 1$) on the relic neutrino background, provided that the…

High Energy Physics - Phenomenology · Physics 2010-12-03 C. Lunardini , A. Yu. Smirnov

We study the propagation coherence for neutrino oscillations in media with different density profiles. For each profile, we find the dependence of the coherence length, $L_{coh}$, on neutrino energy and address the issue of correspondence…

High Energy Physics - Phenomenology · Physics 2021-06-23 Yago P. Porto-Silva , Alexei Yu. Smirnov

In the present work we propose to study neutrino oscillations employing sources of monoenergetic neutrinos following electron capture by the nucleus. Since the neutrino energy is very low the smaller of the two oscillation lengths, L23,…

High Energy Physics - Phenomenology · Physics 2014-11-21 J. D. Vergados , Yu. N. Novikov

Decays of heavier neutrino mass eigenstates into lighter ones, while very slow in the Standard Model, can be significantly enhanced in scenarios with more than three neutrino flavours, or in models with new ultra-light particles such as…

High Energy Physics - Phenomenology · Physics 2026-04-14 Joachim Kopp , George A. Parker

We point out that determination of the MNS matrix element |U_{e3}| = s_{13} in long-baseline \nu_{\mu} \to \nu_e neutrino oscillation experiments suffers from large intrinsic uncertainty due to the unknown CP violating phase \delta and sign…

High Energy Physics - Phenomenology · Physics 2009-11-07 Takaaki Kajita , Hisakazu Minakata , Hiroshi Nunokawa

We revisit the decoupling of neutrinos in the early universe with flavour oscillations. We rederive the quantum kinetic equations which determine the neutrino evolution based on a BBGKY-like hierarchy, and include for the first time the…

High Energy Physics - Phenomenology · Physics 2020-12-08 Julien Froustey , Cyril Pitrou , Maria Cristina Volpe

We develop a general theoretical framework to analytically disentangle the contributions of the neutrino mass hierarchy, the atmospheric mixing angle, and the CP phase, in neutrino oscillations. To illustrate the usefulness of this…

High Energy Physics - Phenomenology · Physics 2015-06-17 Shao-Feng Ge , Kaoru Hagiwara , Carsten Rott

It is known that there is a phenomenon called "parameter degeneracy" in neutrino oscillation measurement of lepton mixing parameters; A set of the oscillation probabilities, e.g., P(nu_mu --> nu_e) and its CP-conjugate P(bar{nu}_mu -->…

High Energy Physics - Phenomenology · Physics 2010-06-01 Hisakazu Minakata , Shoichi Uchinami

We describe several techniques for using bulk matter for special purpose computation. In each case it is necessary to use an evolutionary algorithm to program the substrate on which the computation is to take place. In addition, the…

Other Condensed Matter · Physics 2007-05-23 Simon L. Harding , Julian F. Miller , Edward A. Rietman

On 2010 MINOS experiment was showing an hint of possible different mass splitting and mixing angles for neutrinos and anti-neutrinos, suggesting a charge-parity-time (CPT) violation in the lepton sector; last year 2012 a second result from…

High Energy Physics - Phenomenology · Physics 2013-03-13 D. Fargion , D. D Armiento

A nearby core collapse supernova will produce a burst of neutrinos in several detectors worldwide. With reasonably high probability, the Earth will shadow the neutrino flux in one or more detectors. In such a case, for allowed oscillation…

Instrumentation and Methods for Astrophysics · Physics 2010-04-06 Kate Scholberg , Armin Burgmeier , Roger Wendell

We present an exact analytic solution to the neutrino evolution equation in matter with periodic step-function density profile and discuss in detail the parametric resonance of neutrino oscillations that can occur in such a system. Solar…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Kh. Akhmedov

In physics, accurately modeling large-scale phenomena such as core-collapse supernovae, (CCSN), and neutron star mergers are computationally challenging and require solving large sets of partial and ordinary differential equations.…

High Energy Astrophysical Phenomena · Physics 2024-09-06 Raghav Chari

We develop a detailed and comprehensive description of neutrino oscillations driven by the 1-3 mixing in the matter of the Earth. The description is valid for the realistic (PREM) Earth density profile in the whole range of nadir angles and…

High Energy Physics - Phenomenology · Physics 2010-10-27 Evgeny Kh. Akhmedov , Michele Maltoni , Alexei Yu. Smirnov
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