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We derive a new set of sum rules between the neutrino mass and mixing parameters in vacuum and their effective counterparts in matter. The moduli of nine genuine lepton mixing matrix elements can then be calculated in terms of the…

高能物理 - 唯象学 · 物理学 2009-11-11 Zhi-zhong Xing , He Zhang

We present, both exactly and approximately, a complete set of mappings between the vacuum (or fundamental) leptonic mixing parameters and the effective ones in matter with non-standard neutrino interaction (NSI) effects included. Within the…

高能物理 - 唯象学 · 物理学 2009-04-07 Davide Meloni , Tommy Ohlsson , He Zhang

Assuming the existence of one light sterile neutrino, we investigate the neutrino flavor mixing matrix in matter. Sum rules between the mixing parameters in vacuum and their counterparts in matter are derived. By using these new sum rules,…

高能物理 - 唯象学 · 物理学 2008-11-26 He Zhang

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…

高能物理 - 唯象学 · 物理学 2016-03-02 L. J. Flores , O. G. Miranda

Within the framework of three lepton families I present a transparent analytical relationship between the neutrino mixing and CP-violating parameters in vacuum and thos in matter. Such a model- and parametrization-independent result will be…

高能物理 - 唯象学 · 物理学 2009-10-31 Zhi-zhong Xing

We propose a novel origin for the disparity between quark and lepton flavor mixing based on the refractive nature of neutrino masses. We postulate that the fundamental mixing in both the quark and lepton sectors is CKM-like, together with…

高能物理 - 唯象学 · 物理学 2026-01-22 Susobhan Chattopadhyay , Yuber F. Perez-Gonzalez , Manibrata Sen

Recently, many authors showed that if the solar and atmospheric neutrino data are both described by maximal mixing vacuum oscillations at the relevant mass scale, then there exists a unique bi-maximal lepton mixing matrix for three neutrino…

高能物理 - 唯象学 · 物理学 2009-12-30 Sin Kyu Kang , C. S. Kim

Finding a rationale behind the observed pattern of neutrino mixings has been at the focus of neutrino flavor model building. Many different approaches have been put forward including models based on symmetries. Among the most predictive…

高能物理 - 唯象学 · 物理学 2022-03-15 Julia Gehrlein , Serguey Petcov , Martin Spinrath , Arsenii Titov

Under the assumption that the neutrinos are Majorana particles we study how the lepton mass matrices can be transformed into the simple form which has the same physical quantities by removing redundant parameters. We propose the exact…

高能物理 - 唯象学 · 物理学 2014-11-17 K. Kimura , A. Takamura

Lepton mixing can originate from the breaking of a flavor symmetry in different ways in the neutrino and the charged lepton sector. We propose an extension of this framework which allows to connect the mixing parameters with masses, and…

高能物理 - 唯象学 · 物理学 2013-11-27 D. Hernandez , A. Yu. Smirnov

Within the framework of three lepton families we have derived an exact and compact formula to describe the matter effect on neutrino mixing and CP violation. This model- and parametrization-independent result can be particularly useful for…

高能物理 - 唯象学 · 物理学 2009-10-31 Zhi-zhong Xing

Starting from the symmetry of lepton flavor democracy, we propose and discuss a simple pattern for the mass generation and flavor mixing of the charged leptons and neutrinos. The three neutrino masses are nearly degenerate, and the flavor…

高能物理 - 唯象学 · 物理学 2009-10-28 H. Fritzsch , Z. Z Xing

Implications of a simple model for the mass generation of leptons are studied, in particular for the upcoming long-baseline neutrino experiments. The flavor mixing angles are large (nearly maximal). The probability for the long-baseline…

高能物理 - 唯象学 · 物理学 2009-10-31 Harald Fritzsch , Zhi-zhong Xing

We present a geometric description of lepton flavor mixing and CP violation in matter by using the language of leptonic unitarity triangles. The exact analytical relations for both sides and inner angles are established between every…

高能物理 - 唯象学 · 物理学 2011-09-13 He Zhang , Zhi-zhong Xing

We look for predictive flavour patterns of the effective Majorana neutrino mass matrix that are compatible with current neutrino oscillation data. Our search is based on the assumption that the neutrino mass matrix contains equal elements…

高能物理 - 唯象学 · 物理学 2016-04-20 Luis M. Cebola , David Emmanuel-Costa , Ricardo Gonzalez Felipe

Testing the unitarity of the lepton mixing matrix, in a manner analogous to the unitarity tests of the CKM matrix in the quark sector, is an important step toward probing physics beyond the standard three-generation framework. In long…

高能物理 - 唯象学 · 物理学 2026-05-21 Ryuichiro Kitano , Joe Sato , Sho Sugama

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…

高能物理 - 唯象学 · 物理学 2007-05-23 Minako Honda , Yee Kao , Naotoshi Okamura , Tatsu Takeuchi

Analytic formulas are presented for three flavor neutrino oscillations in matter in the plane wave approximation. We calculate in particular the time evolution operator in both mass and flavor bases. We also find the transition…

高能物理 - 唯象学 · 物理学 2009-10-31 Tommy Ohlsson , Hakan Snellman

We propose a parametrization of the lepton mixing matrix in terms of an expansion in powers of the deviations of the reactor, solar and atmospheric mixing angles from their tri-bimaximal values. We show that unitarity triangles and neutrino…

高能物理 - 唯象学 · 物理学 2008-11-26 S. F. King

Here we study the pattern of neutrino oscillations emerging from a previously proposed warped model construction incorporating $\Delta(27)$ flavor symmetry. In addition to a complete description of fermion masses, the model predicts the…

高能物理 - 唯象学 · 物理学 2017-06-07 Pedro Pasquini , S. C. Chuliá , J. W. F. Valle
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