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Related papers: Geometric Mean Neutrino Mass Relation

200 papers

Averaged neutrino masses defined by $\la m_\nu\ra_{ab} \equiv\left| \sum_{j=1}^{3}U_{aj}U_{bj}m_j\right|$ ($a,b=e,\mu,\tau$) are reanalyzed using up-to-date observed MNS parameters and neutrino masses by the neutrino oscillation experiments…

High Energy Physics - Phenomenology · Physics 2015-10-22 Takeshi Fukuyama , Hiroyuki Nishiura

All the possible schemes of neutrino mixing with four massive neutrinos inspired by the existing experimental indications in favor of neutrino mixing are considered in a model independent way. Assuming that in short-baseline experiments…

High Energy Physics - Phenomenology · Physics 2015-06-25 S. M. Bilenky , C. Giunti , W. Grimus

There is a renewed interest in constraining the sum of the masses of the three neutrino flavours by using cosmological measurements. Solar, atmospheric, and reactor neutrino experiments have confirmed neutrino oscillations, implying that…

High Energy Physics - Phenomenology · Physics 2008-11-26 Oystein Elgaroy , Ofer Lahav

We show that by combining high precision measurements of the atmospheric delta m^2 in both the electron and muon neutrino (or anti-neutrino) disappearance channels one can determine the neutrino mass hierarchy. The required precision is a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hiroshi Nunokawa , Stephen Parke , Renata Zukanovich Funchal

Do neutrinos have nonzero masses? If they do, then these masses are very tiny, and can be sought only in very sensitive experiments. The most sensitive of these search for neutrino oscillation, a quantum interference effect which requires…

High Energy Physics - Phenomenology · Physics 2017-08-23 Boris Kayser

Based on current experimental results, such as neutrino oscillations and the neutrinoless double beta decays (i.e. data from Super Kamiokande, KamLAND, SNO, etc.), the neutrino mixing matrix can be adequately determined. Though there are…

High Energy Physics - Phenomenology · Physics 2015-04-09 Asan Damanik , Mirza Satriawan , Pramudita Anggraita , Muslim

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

The first results from the JUNO reactor neutrino oscillation experiment improve our knowledge of neutrino masses and mixing parameters, especially the solar angle $\theta_s \equiv \theta_{12}$ and the solar mass squared difference $\Delta…

High Energy Physics - Phenomenology · Physics 2025-12-04 Shao-Feng Ge , Chui-Fan Kong , Manfred Lindner , João Paulo Pinheiro

Neutrino data lead via the see-saw mechanism to masses of the right handed neutrinos at the intermediate mass scale. Simple formalism is suggested which incorporates the quark - lepton symmetry and allows one to find properties of the…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Yu. Smirnov

In the framework of the three-neutrino mixing the neutrino oscillations in the atmospheric and solar ranges of neutrino mass-squared differences are considered in the leading approximation. Neutrinoless double $\beta$- decay is also…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. M. Bilenky

Minimal SO(10) grand unified models provide phenomenological predictions for neutrino mass patterns and mixing. These are the outcome of the interplay of several features, namely: i) the seesaw mechanism; ii) the presence of an intermediate…

High Energy Physics - Phenomenology · Physics 2017-04-10 F. Buccella , M. Chianese , G. Mangano , G. Miele , S. Morisi , P. Santorelli

A comprehensive formalism for the description of neutrino oscillations in the Earth in a general scheme with three massive neutrinos and the mass hierarchy m_1<<m_2<<m_3 is presented. Using this formalism, which is valid both in vacuum and…

High Energy Physics - Phenomenology · Physics 2011-07-19 C. Giunti , C. W. Kim , M. Monteno

Distortions of Cosmic Microwave Background (CMB) temperature and polarization maps caused by gravitational lensing, observable with high angular resolution and high sensitivity, can be used to measure the neutrino mass. Assuming two…

Astrophysics · Physics 2010-04-22 Manoj Kaplinghat , Lloyd Knox , Yong-Seon Song

We discuss the possibility for matter effects in the three-neutrino oscillations of the atmospheric nu_e (bar{nu}_e) and nu_mu (bar{nu}_mu), driven by one neutrino mass squared difference, |Delta m2_{31}| >> Delta m2_{21}, to be observable…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jose Bernabeu , Sergio Palomares-Ruiz

We motivate the simplest ansatz for the neutrino mass matrix consistent with the data from neutrino oscillation experiments, and admitting CP violation. It has only two free parameters: an arbitrary mass-scale and a small dimensionless…

High Energy Physics - Phenomenology · Physics 2010-04-05 P. F. Harrison , W. G. Scott

Proposed medium-baseline reactor neutrino experiments offer unprecedented opportunities to probe, at the same time, the mass-mixing parameters which govern $\nu_e$ oscillations both at short wavelength (delta m^2 and theta_{12}) and at long…

High Energy Physics - Phenomenology · Physics 2014-01-15 F. Capozzi , E. Lisi , A. Marrone

We propose a geometric hypothesis for neutrino mixing: twice the sum of the three mixing angles equals $180^\circ$, forming a Euclidean triangle. This condition leads to a predictive relation among the mixing angles and, through…

High Energy Physics - Phenomenology · Physics 2025-10-09 Mohammad Ful Hossain Seikh

We determine the possible values of the effective Majorana neutrino mass $|< m > |= |\sum_j U_{ej}^2 m_j|$ in the different phenomenologically viable three and four-neutrino scenarios. The quantities $U_{\alpha j}$ ($\alpha =…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. M. Bilenky , C. Giunti , W. Grimus , B. Kayser , S. T. Petcov

We discuss the physics potential of future tritium beta-decay experiments having a sensitivity to a neutrino mass ~\sqrt{|\Delta m^{2}_{23}|}~5x10^{-2} eV. The case of three-neutrino mixing is analised. A negative result of such an…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. M. Bilenky , M. D. Mateev , S. T. Petcov

This paper presents the results of oscillation analysis in K2K experiment. The results show indications of neutrino oscillation and give a new constraint on the oscillation parameters. The difference of neutrino masses squared $\Delta m^2$…

High Energy Physics - Experiment · Physics 2007-05-23 I. Kato