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We study in detail the sensitivity of neutrino oscillation probabilities to the fundamental neutrino parameters and their possible determination through experiments. The first part of the paper is devoted to the broad theme of isolating…

High Energy Physics - Phenomenology · Physics 2009-11-11 D. Indumathi , M. V. N. Murthy , G. Rajasekaran , Nita Sinha

We study the impact of assumptions about neutrino properties on the estimation of inflationary parameters from cosmological data, with a specific focus on the allowed contours in the $n_s/r$ plane. We study the following neutrino…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-13 Martina Gerbino , Katherine Freese , Sunny Vagnozzi , Massimiliano Lattanzi , Olga Mena , Elena Giusarma , Shirley Ho

One goal of contemporary particle physics is to determine the mixing angles and mass-squared differences that constitute the phenomenological constants that describe neutrino oscillations. Of great interest are not only the best fit values…

Nuclear Theory · Physics 2015-06-04 H. R. Burroughs , B. K. Cogswell , J. Escamilla-Roa , D. C. Latimer , D. J. Ernst

Neutrino oscillations are studied in the general framework of open quantum systems by means of extended dynamics that take into account possible dissipative effects. These new phenomena induce modifications in the neutrino oscillation…

High Energy Physics - Phenomenology · Physics 2009-10-31 F. Benatti , R. Floreanini

Medium-baseline reactor neutrino oscillation experiments (MBRO) have been proposed to determine the neutrino mass hierarchy (MH) and to make precise measurements of the neutrino oscillation parameters. With sufficient statistics, better…

We present a Markov Chain Monte Carlo global analysis of neutrino parameters using both cosmological and experimental data. Results are presented for the combination of all presently available data from oscillation experiments, cosmology,…

High Energy Physics - Phenomenology · Physics 2007-10-14 Steen Hannestad

I discuss some problems connected with the high precision study of neutrino oscillations. In the general case of $n$-neutrino mixing I derive a convenient expression for transition probability in which only independent terms (and…

High Energy Physics - Phenomenology · Physics 2015-02-24 S. M. Bilenky

A generalized phenomenological (3 + 2 + 1)-model with three active and three sterile neutrinos is considered for the calculation of the neutrino oscillation characteristics at normal mass hierarchy of active neutrinos and significant…

High Energy Physics - Phenomenology · Physics 2016-12-28 V. V. Khruschov , S. V. Fomichev , O. A. Titov

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

Neutrino oscillations change when in media in comparison to vacuum oscillations due to the scattering of neutrinos on matter constituents, electrons particularly. This can be easily described by introducing new effective matter mixing…

High Energy Physics - Phenomenology · Physics 2018-10-02 Tomas Nosek

Neutrino oscillations are one of the most studied and successful phenomena since the establishment of the solar neutrino problem in late 1960's. In this work we discuss the exact expressions for the probability P_{\alpha\beta} in a constant…

High Energy Physics - Phenomenology · Physics 2016-11-23 L. J. Flores , O. G. Miranda

In the field of statistical learning and data analysis, estimating precision matrices (i.e., the inverse of covariance matrices) is a critical task, particularly for understanding dependency structures among variables. However, traditional…

Methodology · Statistics 2026-05-15 Zhongfeng Qin , Hao Xu , Wenhao Cui , Wan Tian

We review critically the main assumptions on which the standard theory of neutrino oscillations is based. We show that all assumptions are realistic, except the so-called "equal momentum assumption", which however is irrelevant. We briefly…

High Energy Physics - Phenomenology · Physics 2007-05-23 Carlo Giunti

Neutrino oscillation phenomenon is a definite evidence of physics beyond the Standard Model (SM) and high precision measurement of neutrino properties will certainly give us clue about what lies beyond the SM. In particular, precise…

High Energy Physics - Phenomenology · Physics 2023-06-01 Chee Sheng Fong

A revolution in our understanding of the neutrino sector is underway, driven by observations that are interpreted in terms of changes in neutrino flavors as they propagate. Since neutrino oscillations occur only if neutrinos are massive,…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Barger , K. Whisnant

Neutrino oscillations are now a well-stablished and deeply studied phenomena. Their mixing parameters, except for the CP phase, are measured with good accuracy. The three-neutrino oscillation picture in matter is currently of great interest…

High Energy Physics - Phenomenology · Physics 2016-03-02 L. J. Flores , O. G. Miranda

We present simple and predictive scenarios for neutrino masses which lead to a bimaximal pattern of mixings that apparently provides the best fit to the current solar and atmospheric neutrino data. It is shown that an approximate global…

High Energy Physics - Phenomenology · Physics 2014-11-17 K. S. Babu , R. N. Mohapatra

We perform a calculation in quantum field theory of neutrino oscillation probabilities, where we include simultaneously the source, detector, and neutrino fields in the Hamiltonian. Within the appropriate limits associated with current…

High Energy Physics - Phenomenology · Physics 2018-07-18 Andrew Kobach , Aneesh V. Manohar , John McGreevy

The turn of the 21st century witnessed a sudden shift in our fundamental understanding of particle physics. While the minimal Standard Model predicts that neutrino masses are exactly zero, the discovery of neutrino oscillations proved the…

Nuclear Experiment · Physics 2021-05-21 Joseph A. Formaggio , André Luiz C. de Gouvêa , R. G. Hamish Robertson

Knowledge of the composition of the Earth's interior is highly relevant to many geophysical and geochemical problems. Neutrino oscillations are modified in a non-trivial way by the matter effects and can provide valuable and unique…