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Neutrino oscillations are one of the most studied and successful phenomena since the establishment of the solar neutrino problem in late 1960's. In this work we discuss the exact expressions for the probability P_{\alpha\beta} in a constant…

高能物理 - 唯象学 · 物理学 2016-11-23 L. J. Flores , O. G. Miranda

We summarize our recent paper on neutrino oscillation probabilities in matter, explaining the importance, relevance and need for simple, highly accurate approximations to the neutrino oscillation probabilities in matter. Simple expressions…

高能物理 - 唯象学 · 物理学 2018-01-10 Stephen J. Parke , Peter B. Denton , Hisakazu Minakata

We write the probabilities for neutrino oscillations in uniform-density matter exactly in terms of convention-independent vacuum neutrino oscillation parameters and the matter density. This extends earlier results formulating neutrino…

高能物理 - 唯象学 · 物理学 2009-11-10 P. F. Harrison , W. G. Scott , T. J. Weiler

The corrections to neutrino mixing parameters in the presence of matter of constant density are calculated systematically as series expansions in terms of the mass hierarchy $\dm{21}/\dm{31}$. The parameter mapping obtained is then used to…

高能物理 - 唯象学 · 物理学 2014-11-17 Martin Freund

Many experiments are currently looking for evidence of neutrino mass in the form of neutrino oscillations. Oscillation probabilities are non-linear functions of the neutrino mixing matrix elements, so most comparisons of data to theory are…

高能物理 - 唯象学 · 物理学 2007-05-23 Doris Jeanne Wagner

Motivated by tremendous progress in neutrino oscillation experiments, we derive a new set of simple and compact formulas for three-flavor neutrino oscillation probabilities in matter of a constant density. A useful definition of the…

高能物理 - 唯象学 · 物理学 2016-12-28 Yu-Feng Li , Jue Zhang , Shun Zhou , Jing-yu Zhu

Within the framework of the standard three neutrino scenario, we derive an exact and simple formula of the oscillation probability $P(\nu_e \to \nu_{\mu})$ in constant matter by using a new method. From this formula, it is found that the…

高能物理 - 唯象学 · 物理学 2009-11-07 K. Kimura , A. Takamura , H. Yokomakura

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

Neutrino oscillation is the new physics beyond standard model. In this paper we have revisited the issue of neutrino oscillation in simple and delicate manner. Starting from the fundamental quantum mechanical treatment for the neutrinos, we…

高能物理 - 唯象学 · 物理学 2013-02-15 A. Upadhyay , M. Batra

The existence of light sterile neutrinos is a long standing question for particle physics. Several experimental ``anomalies'' could be explained by introducing ~eV mass scaled light sterile neutrinos. Many experiments are actively hunting…

高能物理 - 唯象学 · 物理学 2020-06-30 Baobiao Yue , Wei Li , Jiajie Ling , Fanrong Xu

As the increasing of neutrino energy or matter density, the neutrino oscillation in matter may undergo "vacuum-dominated", "resonance" and "matter-dominated" three different stages successively. Neutrinos endure very different matter…

高能物理 - 唯象学 · 物理学 2020-02-26 Shu Luo

Within a conventional Hamiltonian description, we find accurate closed-form expressions for the oscillation probabilities of three coupled neutrinos propagating in matter. Subtle cancelations that occur in coefficients of our formulation…

高能物理 - 唯象学 · 物理学 2017-05-11 Mikkel B. Johnson , Leonard S. Kisslinger

The light sterile neutrino, if it exists, will give additional contribution to matter effect when active neutrinos propagate through terrestrial matter. In the simplest 3+1 scheme, three more rotation angles and two more CP-violating phases…

高能物理 - 唯象学 · 物理学 2018-10-17 Wei Li , Jiajie Ling , Fanrong Xu , Baobiao Yue

In this paper we review different expansions for neutrino oscillation probabilities in matter in the context of long-baseline neutrino experiments. We examine the accuracy and computational efficiency of different exact and approximate…

高能物理 - 唯象学 · 物理学 2019-03-14 Gabriela Barenboim , Peter B. Denton , Stephen J. Parke , Christoph A. Ternes

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

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 argue that the neutrino oscillation probabilities in matter are best understood by allowing the mixing angles and mass-squared differences in the standard parametrization to `run' with the matter effect parameter $a=2\sqrt{2}G_F N_e E$,…

高能物理 - 唯象学 · 物理学 2014-09-29 Sanjib Kumar Agarwalla , Yee Kao , Tatsu Takeuchi

We investigate neutrino oscillations in constant matter within the context of the standard three neutrino scenario. We derive an exact and simple formula for the oscillation probability applicable to all channels. In the standard…

高能物理 - 唯象学 · 物理学 2009-11-07 Keiichi Kimura , Akira Takamura , Hidekazu Yokomakura

This review summarizes recent experimental and theoretical progress in determining neutrino mixing angles and masses through neutrino oscillations. We describe the basic physics of oscillation phenomena in vacuum and matter, as well as the…

核理论 · 物理学 2015-06-15 A. B. Balantekin , W. C. Haxton

In the Standard theory of neutrino oscillations is used scheme of mass mixings, i.e., oscillation parameters are expressed via terms of mass matrix. In this work neutrino oscillations generated by charge (the weak interaction couple…

高能物理 - 唯象学 · 物理学 2009-01-01 Kh. M. Beshtoev
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