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Scaling in flavor neutrino masses $M_{ij}$ ($i,j$=$e,\mu,\tau$) can be described by two angles: $\theta_{SC}$ and the atmospheric neutrino mixing angle $\theta_{23}$. For $A$=${\cos ^2}{\theta_{SC}}+{\sin ^2}{\theta_{SC}}t_{23}^4$ and…

High Energy Physics - Phenomenology · Physics 2012-10-09 Masaki Yasue

The first phase of studies of the neutrino mass and mixing is essentially over. The outcome is the discovery of non-zero neutrino mass and determination of the dominant structure of the lepton mixing matrix. In some sense this phase was…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Yu. Smirnov

We present a three-parameter neutrino-oscillation model for three flavors of massless neutrinos with Fermi-point splitting and tri-maximal mixing angles. One of these parameters is the T-violating phase \epsilon, for which the experimental…

High Energy Physics - Phenomenology · Physics 2010-11-05 Frans R. Klinkhamer

The phenomenology of massive neutrinos -- flavour mixing in the lepton sector causing oscillations between different neutrino-types along their propagation over macroscopic distances in vacuum -- aims at relating observable quantities…

High Energy Physics - Phenomenology · Physics 2020-12-11 Winfried A. Mitaroff

Determining absolute neutrino masses remains a central challenge in particle physics. Relations among the neutrino mass-squared differences could facilitate this determination and shed additional light on the underlying mass-generation…

High Energy Physics - Phenomenology · Physics 2026-01-27 I. Alikhanov

The residual symmetry approach, along with a complex extension for some flavor invariance, is a powerful tool to uncover the flavor structure of the $3\times3$ neutrino Majorana mass matrix $M_\nu$ towards gaining insights into neutrino…

High Energy Physics - Phenomenology · Physics 2016-12-21 Rome Samanta , Probir Roy , Ambar Ghosal

Using the residual symmetry approach, we propose a complex extension of the scaling ansatz on $M_\nu$ which allows a nonzero mass for each of the three light neutrinos as well as a nonvanishing $\theta_{13}$. Leptonic Dirac CP violation…

High Energy Physics - Phenomenology · Physics 2016-04-06 Rome Samanta , Probir Roy , Ambar Ghosal

It has been firmly established, that neutrinos change their flavour during propagation. This feature is attributed to the fact, that each flavour eigenstate is a superposition of three mass eigenstates, which propagate with different…

Quantum Physics · Physics 2015-06-18 Marek Góźdź , Andrzej Góźdź

Sterile neutrinos are one candidate to explain anomalies in neutrino oscillations. The mass-difference-driving oscillation between flavors can be probed only within specific combinations of baseline and flight energy. For a neutrino whose…

High Energy Physics - Phenomenology · Physics 2013-03-26 S. K. Kang , Y. D. Kim , Y. Ko , K. Siyeon

As is widely known, the flavour and mass eigenbasis in neutrino sector can be related by a reduced unitary matrix, described by 3 real parameters and one phase, for Dirac neutrinos, and 2 extra phases if neutrinos are Majorana particles.…

High Energy Physics - Phenomenology · Physics 2025-08-21 Pedro Cunha de Holanda , Macello Jales de Carvalho Fonseca Filho , Eduardo Walter da Silva

It is found that the seesaw mechanism not only explain the smallness of neutrino masses but also account for the large mixing angles simultaneously, even if the unification of the neutrino Dirac mass matrix with that of up-type quark sector…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. Tsujimoto

Measurements of various features of the fluxes of atmospheric and solar neutrinos have provided evidence for neutrino oscillations and therefore for neutrino masses and mixing. We review the phenomenology of neutrino oscillations in vacuum…

High Energy Physics - Phenomenology · Physics 2009-09-29 M. C. Gonzalez-Garcia , Y. Nir

We present a general formalism for extracting information on the fundamental parameters associated with neutrino masses and mixings from two or more long baseline neutrino oscillation experiments. This formalism is then applied to the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Hisakazu Minakata , Hiroshi Nunokawa , Stephen Parke

We demonstrate the usefulness of flavour neutrino masses expressed in terms of $M_{ee},M_{e\mu}$ and $M_{e\tau}$. The analytical expressions for the flavour neutrino masses, mass eigenstates and physical CP-violating Majorana phases for…

High Energy Physics - Phenomenology · Physics 2016-03-30 Teruyuki Kitabayashi , Masaki Yasuè

The recent observation of neutrino oscillations with atmospheric and solar neutrinos, implying that neutrinos are not massless, is a discovery of paramount importance for particle physics and particle astrophysics. This invited lecture…

High Energy Physics - Experiment · Physics 2017-08-23 N. Schmitz

We discuss the role of lightest neutrino mass (m_0) in the neutrino mass matrix, defined in a flavor basis, through a bottom-up approach using the current neutrino oscillation data. We find that if m_0 < 10^{-3} eV, then the deviation…

High Energy Physics - Phenomenology · Physics 2015-06-15 Rupak Dutta , Upender Ch , Anjan K. Giri , Narendra Sahu

We consider neutrino mixing and oscillations in presence of an arbitrary constant magnetic field with nonzero transversal $B_{\perp}$ and longitudinal $B_{\parallel}$ components with respect to the direction of neutrino propagation. The…

High Energy Physics - Phenomenology · Physics 2016-06-22 Riccardo Fabbricatore , Alexander Grigoriev , Alexander Studenikin

It is known that neutrino oscillations may map $\phi_e : \phi_\mu : \phi_\tau = 1 : 2 : 0$, the initial flavor ratios of ultrahigh-energy neutrino fluxes produced from a distant astrophysical source, into $\phi^D_e : \phi^D_\mu :…

High Energy Physics - Phenomenology · Physics 2009-11-11 Zhi-zhong Xing

We discuss the neutrino oscillations, using texture zero mass matrices for the leptons. The reactor mixing angle $\theta^{}_{l}$ is calculated. The ratio of the masses of two neutrinos is determined by the solar mixing angle. We can…

High Energy Physics - Phenomenology · Physics 2015-06-11 Harald Fritzsch

We propose a simple Ansatz for the three generation neutrino mass matrix $M_\nu$ which is motivated from an SO(10) grand unified theory. The Ansatz can be combined with information from neutrino oscillation experiments and bounds on…

High Energy Physics - Phenomenology · Physics 2011-03-17 D. Black , A. H. Fariborz , S. Nasri , J. Schechter