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An approximate neutrino mixing matrix is formutated by using the standard neutrino mixing matrix as a basis and experimental data of neutrino oscillations as inputs. By using the resulted approximate neutrino mixing matrix to proceed the…

High Energy Physics - Phenomenology · Physics 2016-07-05 Asan Damanik

We point out that the observed neutrino mixing pattern at low energies is very likely to originate from the 3 times 3 lepton flavor mixing matrix U which possesses the exact mu-tau permutation symmetry |U_{mu i}| = |U_{tau i}| (for i=1,2,3)…

High Energy Physics - Phenomenology · Physics 2015-06-22 Shu Luo , Zhi-zhong Xing

A special form of the $3 \times 3$ Majorana neutrino mass matrix derivable from $\mu - \tau$ interchange symmetry accompanied by a generalized $CP$ transformation was obtained many years ago. It predicts $\theta_{23} = \pi/4$ as well as…

High Energy Physics - Phenomenology · Physics 2015-05-18 Ernest Ma , Alexander Natale , Oleg Popov

The neutrino mixing sum rule $\theta_{12} - \theta_{13}\cos(\delta) \approx \theta^\nu_{12}$ provides a possibility to explore the structure of the neutrino mass matrix in the presence of charged lepton corrections, since it relates the 1-2…

High Energy Physics - Phenomenology · Physics 2010-10-27 S. Antusch , P. Huber , S. F. King , T. Schwetz

We derive predictions for the Nadir angle (theta(n)) dependence of the ratio N(mu)/N(e) of the rates of the mu-like and e-like multi-GeV events measured in water-Cerenkov detectors in the case of 3-neutrino oscillations of the atmospheric…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Bernabeu , Sergio Palomares-Ruiz , S. T. Petcov

Recent works combining neutrino oscillation and cosmological data to determine the neutrino hierarchy found a range of odds in favour of the normal hierarchy. These results arise from differing approaches to incorporating prior knowledge…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-15 Constance Mahony , Boris Leistedt , Hiranya V. Peiris , Jonathan Braden , Benjamin Joachimi , Andreas Korn , Linda Cremonesi , Ryan Nichol

Recently a new method for determining the neutrino mass hierarchy by comparing the effective values of the atmospheric \Delta m^2 measured in the electron neutrino disappearance channel, \Delta m^2(ee), with the one measured in the muon…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Minakata , H. Nunokawa , S. J. Parke , R. Zukanovich Funchal

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 $a=2\sqrt{2}G_F N_e E$,…

High Energy Physics - Phenomenology · Physics 2014-09-29 Sanjib Kumar Agarwalla , Yee Kao , Tatsu Takeuchi

We suggest an approach to explain the observed pattern of the neutrino masses and mixing which employs the weakly broken quark-lepton symmetry and does not require introduction of an ad hoc symmetry of the neutrino sector. The mass matrices…

High Energy Physics - Phenomenology · Physics 2009-11-10 I. Dorsner , A. Yu. Smirnov

The measured values for the mixture angles in neutrino oscillations suggest the existence of a symmetry of interchange of flavor between muon and tau neutrinos. Using this symmetry we analyzed the minimal seesaw model for neutrino masses,…

High Energy Physics - Phenomenology · Physics 2008-01-22 Daniel Wegman Ostrosky

The $\mu$-$\tau$ reflection symmetry is compatible with current neutrino oscillation data and easily realized under family symmetries. We prove that this symmetry preserves $\theta_{23}=45^\circ$, $\delta=\pm90^\circ$,…

High Energy Physics - Phenomenology · Physics 2014-10-01 Ye-Ling Zhou

Experiments on neutrino oscillations have uncovered several small parameters, $\theta_{13}$ being a prominent one. Others are the solar mass splitting {\em vis-\`{a}-vis} the atmospheric one and the deviation of $\theta_{23}$ from maximal…

High Energy Physics - Phenomenology · Physics 2015-05-27 Soumita Pramanick , Amitava Raychaudhuri

We examine a phenomenon recently predicted by numerical simulations of supernova neutrino flavor evolution: the swapping of supernova $\nu_e$ and $\nu_{\mu,\tau}$ energy spectra below (above) energy $\EC$ for the normal (inverted) neutrino…

Astrophysics · Physics 2008-11-26 Huaiyu Duan , George M. Fuller , J. Carlson , Yong-Zhong Qian

The $\mu$-$\tau$ reflection symmetry serves as a unique basis for understanding the observed neutrino mixing as it can lead us to the interesting results $\theta^{}_{23} = \pi/4$ and $\delta = -\pi/2$ which stand close to the current…

High Energy Physics - Phenomenology · Physics 2018-09-26 Zhen-hua Zhao

Within the type-I seesaw and in the basis where charged lepton and heavy neutrino mass matrices are real and diagonal, $\mu\tau$ symmetric four and three zero neutrino Yukawa textures are perturbed by lowest order $\mu\tau$ symmetry…

High Energy Physics - Phenomenology · Physics 2013-09-17 Biswajit Adhikary , Ambar Ghosal , Probir Roy

The recent observational data supports the deviation from Tri-bimaximal (TBM) mixings. Different neutrino mass models suggest the interdependency among the observational parameters involving the mixing angles. On phenomenological ground we…

High Energy Physics - Phenomenology · Physics 2015-06-11 Subhankar Roy , N. Nimai Singh

In this paper, we attempt to implement the neutrino $\mu$-$\tau$ reflection symmetry (which predicts $\theta^{}_{23} = \pi/4$ and $\delta = \pm \pi/2$ as well as trivial Majorana phases) in the minimal seesaw (which enables us to fix the…

High Energy Physics - Phenomenology · Physics 2017-11-22 Zhi-Cheng Liu , Chong-Xing Yue , Zhen-hua Zhao

We make an attempt to study the present status of the tetra-maximal neutrino mixing (TMM) pattern. It predicts all the three leptonic mixing angles $\theta_{13} \approx 8.4^\circ, \theta_{12} \approx 30.4^\circ, $ and $\theta_{23} =…

High Energy Physics - Phenomenology · Physics 2020-05-20 Newton Nath

Maximum mixing in atmospheric neutrino oscillation, as well as vanishing of the MNS matrix element $U_{e3}$, are consequences of a 2-3 symmetry, under which the neutrino mass matrix is invariant under the interchange of second and third…

High Energy Physics - Phenomenology · Physics 2009-11-07 C. S. Lam

We discuss various physics aspects of neutrino oscillation with non-standard interactions (NSI). We formulate a perturbative framework by taking \Delta m^2_{21} / \Delta m^2_{31}, s_{13}, and the NSI elements \epsilon_{\alpha \beta}…

High Energy Physics - Phenomenology · Physics 2009-03-27 Takashi Kikuchi , Hisakazu Minakata , Shoichi Uchinami