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With the recent experimental advance in our precise knowledge of the neutrino oscillation parameters, the correct form of the 3 X 3 neutrino mass matrix is now approximately known. I discuss how this may be obtained from symmetry…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ernest Ma

The searches for an underlying pattern in neutrino masses have motivated different proposals for textures in the neutrino mass matrix, which is also related to particular arrangements of the mixing matrix. Current experimental…

High Energy Physics - Phenomenology · Physics 2025-06-26 Diana C. Rivera-Agudelo , S. L. Tostado , Nelson E. Valderrama-Florez

We propose a flexible and model independent parametrization of the neutrino mixing matrix, which takes advantage of the fact that there are up to three small quantities in neutrino mixing phenomenology: (i) the deviation from maximal mixing…

High Energy Physics - Phenomenology · Physics 2008-11-26 W. Rodejohann

The three Standard Model neutrinos can have Majorana mass or strictly Dirac mass, but both scenarios are practically indistinguishable in neutrino oscillation experiments. If they are pseudo-Dirac, however, there will be new mass splittings…

High Energy Physics - Phenomenology · Physics 2025-09-29 Chee Sheng Fong , Yago Porto

The standard assumption is that all three neutrino mass states are either Dirac or Majorana. However, it was recently suggested by Allaverdi, Dutta and one of the authors (R.N.M.) that mixed, or bimodal, flavor neutrino scenarios are…

High Energy Physics - Phenomenology · Physics 2011-07-05 James Barry , Rabindra N. Mohapatra , Werner Rodejohann

Stimulated by a successful quark mass matrix model based on U(3)$\times$U(3)$'$ family symmetry, a phenomenological neutrino mass matrix for the Majorana neutrinos $(\nu_L, \nu_R^c, N_L, N_R^c)$ is proposed. The model has only three…

High Energy Physics - Phenomenology · Physics 2020-02-18 Yoshio Koide , Hiroyuki Nishiura

We reconsider the possibility that Majorana masses for the three known neutrinos are generated radiatively by the presence of a fourth generation and one right-handed neutrino with Yukawa couplings and a Majorana mass term. We find that the…

High Energy Physics - Phenomenology · Physics 2011-08-01 Alberto Aparici , Juan Herrero-García , Nuria Rius , Arcadi Santamaria

We explore the consequences of assuming that the neutrino mass matrix is a linear combination of the matrices of a three dimensional representation of the group $S_3$ and that it has one zero mass eigenvalue. When implemented, these two…

High Energy Physics - Phenomenology · Physics 2014-11-20 Duane A. Dicus , Shao-Feng Ge , Wayne W. Repko

We study the conditions under which the Majorana phase of the two flavor neutrino mixing matrix appears in the oscillation probabilities and causes $CP$ violation. We find that the Majorana phase remains in the neutrino evolution equation…

High Energy Physics - Phenomenology · Physics 2023-01-11 Khushboo Dixit , Akhila Kumar Pradhan , S. Uma Sankar

Global fits to all data of candidates for neutrino oscillations are presented in the framework of a three-flavor model. The analysis excludes mass regions where the MSW effect is important for the solar neutrino problem. The best fit gives…

High Energy Physics - Phenomenology · Physics 2016-08-25 Tommy Ohlsson , Hakan Snellman

We perform a systematic investigation of the texture structures of Majorana neutrino mass matrix $M_{\nu}$ having two texture zeros and an equality between two nonzero matrix elements, in the light of recent neutrino oscillation data. Among…

High Energy Physics - Phenomenology · Physics 2020-06-23 S. Dev , Desh Raj

Theory suggests the existence of neutrino masses, but little more. Facts are coming close to reveal our fantasy: solar and atmospheric neutrino data strongly indicate the need for neutrino conversions, while LSND provides an intriguing…

High Energy Physics - Phenomenology · Physics 2009-09-17 J. W. F. Valle

In this work, we investigate the impact of neutrino decay in the presence of Non-Standard Interactions (NSI) along with the effects of the Majorana phase on neutrino decay in matter in the context of two-flavor neutrino oscillations. These…

High Energy Physics - Phenomenology · Physics 2024-07-25 Ashutosh Kumar Alok , Neetu Raj Singh Chundawat , Arindam Mandal , Bhavya Soni

Assuming Majorana nature of neutrinos, we investigate the singular one texture zero neutrino mass matrices in the flavor basis. We find that for the normal mass ordering with $m_1=0$, all the six one texture zero classes are now ruled out…

High Energy Physics - Phenomenology · Physics 2017-03-15 Radha Raman Gautam , Madan Singh , Manmohan Gupta

We review recent work on analytical solutions to the MSW equations for three neutrino flavours, for exponential and linear potentials. An application to a particular mass matrix is also discussed. The three neutrino masses are determined,…

High Energy Physics - Phenomenology · Physics 2009-11-07 Per Osland , Tai Tsun Wu

We investigate the effects of nonstandard four-fermion neutrino-neutrino interactions on the flavor evolution of dense neutrino gases. We find that in the regions where the neutrino-neutrino refractive index leads to collective flavor…

High Energy Physics - Phenomenology · Physics 2010-04-21 Mattias Blennow , Alessandro Mirizzi , Pasquale D. Serpico

One can describe cosmological relic neutrinos by adding Lagrange multipliers to the Standard Model Lagrangian for them. The two possible Lagrange multipliers are a chemical potential, which fixes the mean neutrino/anti-neutrino asymmetry,…

High Energy Physics - Phenomenology · Physics 2013-02-13 Bob McElrath

These notes present a critique of the standard three-flavor neutrino oscillation framwork. The design proposal of the MINOS at Fermilab based on a two mass eigenstate framework may require serious reconsideration if there is strong mixing…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. V. Ahluwalia

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

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
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