4.7 Article

Parameter symmetries of neutrino oscillations in vacuum, matter, and approximation schemes

Related references

Note: Only part of the references are listed.
Article Mathematics

EIGENVECTORS FROM EIGENVALUES: A SURVEY OF A BASIC IDENTITY IN LINEAR ALGEBRA

Peter B. Denton et al.

Summary: This article introduces a mathematical identity called the eigenvector-eigenvalue identity, which can be used to calculate the relative phases between the components of an eigenvector. The article also provides several proofs and generalizations of this identity.

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY (2022)

Article Physics, Particles & Fields

2020 global reassessment of the neutrino oscillation picture

P. F. de Salas et al.

Summary: The latest global fit analysis of neutrino oscillation data provides more accurate measurements of theta(13), theta(12), Delta m212, and Delta m312 and suggests a preference for the second octant in the atmospheric angle theta(23) with statistical significance. Cosmological measurements show a clear preference for the normal neutrino mass ordering.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Physics, Particles & Fields

The impact of different parameterizations on the interpretation of CP violation in neutrino oscillations

Peter B. Denton et al.

Summary: The article examines the influence of different parameterization methods on quantifying CP violation in the lepton sector and the scale of results with the small value |U-e3|. It is found that Jarlskog provides a clearer presentation of CP violation, while the standard PDG parameterization has convenient features among the considered parameterizations.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Astronomy & Astrophysics

Symmetry finder: A method for hunting symmetry in neutrino oscillation

Hisakazu Minakata

Summary: A systematic method, symmetry finder (SF), is developed to identify symmetry in neutrino oscillation, providing a powerful tool for understanding the physical properties of the phenomenon. By applying the SF method to perturbation theory, new reparametrization symmetries are uncovered, emphasizing the equal importance of fundamental and dynamical variables. All the discussed symmetries are understood as Hamiltonian symmetries, ensuring their validity and applicability to varying density matter.

PHYSICAL REVIEW D (2021)

Article Astronomy & Astrophysics

Improved constraints on neutrino mixing from the T2K experiment with 3.13 x 1021 protons on target

K. Abe et al.

Summary: The T2K experiment reports updated measurements of neutrino and antineutrino oscillations using appearance and disappearance channels. Significant improvements have been made to the neutrino interaction model and far detector reconstruction. The data show a weak preference for normal mass ordering and the upper sin(2)theta(13) octant.

PHYSICAL REVIEW D (2021)

Article Astronomy & Astrophysics

Interplay between the factorization of the Jarlskog invariant and location of the solar and atmospheric resonances for neutrino oscillations in matter

Stephen J. Parke

Summary: The Jariskog invariant controlling intrinsic CP violation in neutrino oscillation appearance experiments is modified by Wolfenstein matter effects. This paper provides the exact factorization of the Jariskog invariant in matter and compares it with the vacuum Jarlskog invariant. The study also explains the relationship between symmetry polynomials of neutrino eigenvalues and matter potential.

PHYSICAL REVIEW D (2021)

Article Astronomy & Astrophysics

Fibonacci fast convergence for neutrino oscillations in matter

Peter B. Denton et al.

PHYSICS LETTERS B (2020)

Review Physics, Multidisciplinary

REVIEW OF PARTICLE PHYSICS

P. A. Zyla et al.

PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS (2020)

Article Astronomy & Astrophysics

Neutrino oscillations in matter via eigenvalues

Peter B. Denton et al.

PHYSICAL REVIEW D (2020)

Article Astronomy & Astrophysics

Neutrino oscillation probabilities through the looking glass

Gabriela Barenboim et al.

PHYSICS LETTERS B (2019)

Article Astronomy & Astrophysics

Flavour Composition and Entropy Increase of Cosmological Neutrinos After Decoherence

Daniel Boriero et al.

UNIVERSE (2019)

Article Astronomy & Astrophysics

Simple and precise factorization of the Jarlskog invariant for neutrino oscillations in matter

Peter B. Denton et al.

PHYSICAL REVIEW D (2019)

Article Physics, Particles & Fields

Testing large non-standard neutrino interactions with arbitrary mediator mass after COHERENT data

Peter B. Denton et al.

JOURNAL OF HIGH ENERGY PHYSICS (2018)

Article Astronomy & Astrophysics

The effective Δmee2 in matter

Peter B. Denton et al.

PHYSICAL REVIEW D (2018)

Review Physics, Multidisciplinary

Neutrino Oscillations and Non-standard Interactions

Yasaman Farzan et al.

FRONTIERS IN PHYSICS (2018)

Article Astronomy & Astrophysics

Rotations versus perturbative expansions for calculating neutrino oscillation probabilities in matter

Peter B. Denton et al.

PHYSICAL REVIEW D (2018)

Article Physics, Nuclear

Symmetric formulation of neutrino oscillations in matter and its intrinsic connection to renormalization-group equations

Shun Zhou

JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS (2017)

Correction Astronomy & Astrophysics

Generalized mass ordering degeneracy in neutrino oscillation experiments (vol 94, 055005, 2016)

Pilar Coloma et al.

PHYSICAL REVIEW D (2017)

Article Physics, Particles & Fields

Exponential parameterization of neutrino mixing matrix with account of CP-violation data

Konstantin Zhukovsky et al.

EUROPEAN PHYSICAL JOURNAL C (2016)

Article Physics, Particles & Fields

Compact perturbative expressions for neutrino oscillations in matter

Peter B. Denton et al.

JOURNAL OF HIGH ENERGY PHYSICS (2016)

Article Physics, Particles & Fields

Simple and compact expressions for neutrino oscillation probabilities in matter

Hisakazu Minakata et al.

JOURNAL OF HIGH ENERGY PHYSICS (2016)

Article Astronomy & Astrophysics

What is Δmee2?

Stephen Parke

PHYSICAL REVIEW D (2016)

Article Astronomy & Astrophysics

Generalized mass ordering degeneracy in neutrino oscillation experiments

Pilar Coloma et al.

PHYSICAL REVIEW D (2016)

Article Astronomy & Astrophysics

Novel parametrization for the leptonic mixing matrix and CP violation

David Emmanuel-Costa et al.

PHYSICAL REVIEW D (2015)

Article Physics, Nuclear

Parametric enhancement of flavor oscillation in a three-neutrino framework

Kara M. Merfeld et al.

PHYSICAL REVIEW C (2014)

Article Physics, Particles & Fields

Analytical approximation of the neutrino oscillation matter effects at large θ 13

Sanjib Kumar Agarwalla et al.

JOURNAL OF HIGH ENERGY PHYSICS (2014)

Article Physics, Particles & Fields

Shedding light on LMA-dark solar neutrino solution by medium baseline reactor experiments: JUNO and RENO-50

P. Bakhti et al.

JOURNAL OF HIGH ENERGY PHYSICS (2014)

Article Astronomy & Astrophysics

Reactor on-off antineutrino measurement with KamLAND

A. Gando et al.

PHYSICAL REVIEW D (2013)

Article Astronomy & Astrophysics

Symmetrical parametrizations of the lepton mixing matrix

W. Rodejohann et al.

PHYSICAL REVIEW D (2011)

Article Physics, Particles & Fields

Large-θ13 perturbation theory of neutrino oscillation for long-baseline experiments

Katsuhiro Asano et al.

JOURNAL OF HIGH ENERGY PHYSICS (2011)

Article Physics, Particles & Fields

Testing matter effects in propagation of atmospheric and long-baseline neutrinos

M. C. Gonzalez-Garcia et al.

JOURNAL OF HIGH ENERGY PHYSICS (2011)

Article Astronomy & Astrophysics

Two modes of searching for new neutrino interactions at MINOS

Alexander Friedland et al.

PHYSICAL REVIEW D (2006)

Article Astronomy & Astrophysics

Another possible way to determine the neutrino mass hierarchy

H Nunokawa et al.

PHYSICAL REVIEW D (2005)

Article Astronomy & Astrophysics

CP and T trajectory diagrams for a unified graphical representation of neutrino oscillations

H Minakata et al.

PHYSICS LETTERS B (2002)

Article Astronomy & Astrophysics

Parameters' domain in three flavour neutrino oscillations

J Gluza et al.

PHYSICS LETTERS B (2001)

Article Astronomy & Astrophysics

The dark side of the solar neutrino parameter space

A de Gouvêa et al.

PHYSICS LETTERS B (2000)

Article Physics, Particles & Fields

Golden measurements at a neutrino factory

A Cervera et al.

NUCLEAR PHYSICS B (2000)