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A number of derivations of the standard neutrino oscillation formula are known, each one providing its own unique insights. Common to all treatments is the assumption that neutrinos propagate freely between source and detector, as indeed…

High Energy Physics - Phenomenology · Physics 2019-10-08 Lucas Johns

Neutrino mixing parameters are subject to quantum corrections and hence are scale dependent. This means that the mixing parameters associated to the production and detection of neutrinos need not coincide since these processes are…

High Energy Physics - Phenomenology · Physics 2022-06-14 K. S. Babu , Vedran Brdar , André de Gouvêa , Pedro A. N. Machado

Deviations from unitarity of the CKM matrix in the quark sector are considered excellent windows to probe physics beyond the Standard Model. In its leptonic counterpart, the PMNS matrix, these searches are particularly motivated, as the new…

The data supporting neutrino oscillations are reexamined empirically, ignoring the phase space of the usual theory. An absolutely minimum description can be constructed easily without assuming oscillations. An empirical fit to a simplified…

General Physics · Physics 2007-05-23 John Michael Williams

For neutrino mixing we propose to use the parameter set $X_{i}$ $(=|V_{ei}|^{2})$ and $\Omega_{i}$ $(=\epsilon_{ijk}|V_{\mu j}|^{2}|V_{\tau k}|^{2})$, with two constraints. These parameters are directly measurable since the neutrino…

High Energy Physics - Phenomenology · Physics 2013-10-01 S. H. Chiu , T. K. Kuo

In the last two decades, the field of neutrino physics has made enormous progress in measuring the strength and frequency of neutrino and antineutrino oscillations. Along the way, there have been many instances of misunderstanding which led…

High Energy Physics - Experiment · Physics 2019-04-16 Maury C Goodman

Current neutrino experiments measure the neutrino mixing parameters with an unprecedented accuracy. The upcoming generation of experiments will be sensitive to subdominant effects that can give information on the unknown neutrino…

High Energy Physics - Phenomenology · Physics 2018-01-30 Y. Farzan , M. Tortola

A brief review of the experimental status of neutrino mixing. The model of neutrino oscillations has now been established with high confidence, with many of the model parameters measured to an accuracy of a few per cent. However, some…

High Energy Physics - Experiment · Physics 2011-07-21 Justin Evans

We present simple analytical approximations to matter-effect corrected effective neutrino mixing-angles and effective mass-squared-differences. The expressions clarify the dependence of oscillation probabilities in matter to the mixing…

High Energy Physics - Phenomenology · Physics 2007-05-23 Minako Honda , Yee Kao , Naotoshi Okamura , Tatsu Takeuchi

The only experimentally observed phenomenon that lies outside the standard model of the electroweak interaction is neutrino oscillations. A way to try to unify the extensive neutrino oscillation data is to add a phenomenological mass term…

Nuclear Theory · Physics 2017-08-23 D. J. Ernst , B. K. Cogswell , H. R. Burroughs , J. Escamilla-Roa , D. C. Latimer

This brief report is an extension of a prediction of neutrino oscillation with a sterile neutrino using parameters of the sterile neutrino mass and mixing angle recently extracted from experiment.

High Energy Physics - Phenomenology · Physics 2015-06-02 Leonard S. Kisslinger

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

In a statistical analysis in Particle Physics, nuisance parameters can be introduced to take into account various types of systematic uncertainties. The best estimate of such a parameter is often modeled as a Gaussian distributed variable…

Data Analysis, Statistics and Probability · Physics 2019-02-25 Glen Cowan

We perform an updated global analysis of the known and unknown parameters of the standard $3\nu$ framework as of 2025. The known oscillation parameters include three mixing angles $(\theta_{12},\,\theta_{23},\,\theta_{13})$ and two squared…

High Energy Physics - Phenomenology · Physics 2025-03-12 Francesco Capozzi , William Giarè , Eligio Lisi , Antonio Marrone , Alessandro Melchiorri , Antonio Palazzo

Achieving error rates that meet or exceed the fault-tolerance threshold is a central goal for quantum computing experiments, and measuring these error rates using randomized benchmarking is now routine. However, direct comparison between…

Quantum Physics · Physics 2016-10-26 Richard Kueng , David M. Long , Andrew C. Doherty , Steven T. Flammia

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

Accelerator-based neutrino oscillation experiments have the potential to revolutionise our understanding of fundamental physics, offering an opportunity to characterise charge-parity violation in the lepton sector; to determine the neutrino…

High Energy Physics - Experiment · Physics 2026-05-28 Stephen Dolan , Luke Pickering , Patrick Stowell , Callum Wilkinson , Clarence Wret

The T2K collaboration has combined the $\nu_{\mu}$ disappearance and $\nu_e $appearance data in a three-flavor neutrino oscillation analysis. A Markov chain Monte Carlo results in estimates of the oscillation parameters and 1D 68% Bayesian…

High Energy Physics - Experiment · Physics 2019-08-14 Patrick de Perio

Neutrinos, being elusive subatomic particles having only weak interactions, provide an ideal platform to look for physics beyond the Standard Model. In the present era of neutrino physics, various experiments are focusing towards the…

High Energy Physics - Phenomenology · Physics 2025-03-18 Rukmani Mohanta

The neutrino mixing sum rule $\theta_{12} - \theta_{13}\cos(\delta) \approx \theta^\nu_{12}$ provides a possibility to explore the structure of the neutrino mass matrix in the presence of charged lepton corrections, since it relates the 1-2…

High Energy Physics - Phenomenology · Physics 2010-10-27 S. Antusch , P. Huber , S. F. King , T. Schwetz