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A dense neutrino medium can experience collective flavor oscillations through nonlinear neutrino-neutrino refraction. To make this multi-dimensional flavor transport problem more tractable, all existing studies have assumed certain…

High Energy Physics - Phenomenology · Physics 2015-06-04 Huaiyu Duan , Shashank Shalgar

At high densities in compact astrophysical sources, the coherent forward scattering of neutrinos onto each other is responsible for making the flavor evolution non-linear. Under the assumption of spherical symmetry, we present the first…

High Energy Astrophysical Phenomena · Physics 2023-04-05 Shashank Shalgar , Irene Tamborra

Some implications of the proposal that flavor nondiagonal couplings of neutrinos to gravity might resolve the solar neutrino problem are considered in the context of three neutrino flavors. The two--flavor model is discussed as a limiting…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. R. Mureika , R. B. Mann

Behind the observed pattern of lepton flavor mixing is a partial or approximate mu-tau flavor symmetry --- a milestone on our road to the true origin of neutrino masses and flavor structures. In this review article we first describe the…

High Energy Physics - Phenomenology · Physics 2016-07-22 Zhi-zhong Xing , Zhen-hua Zhao

Non-linear effects on supernova neutrino oscillations, associated with neutrino self-interactions, are known to induce collective flavor transitions near the supernova core for theta_13 \neq 0. In scenarios with very shallow electron…

High Energy Physics - Phenomenology · Physics 2009-10-07 G. L. Fogli , E. Lisi , A. Marrone , A. Mirizzi

We present a method to find the stationary solutions for fast flavor oscillations of a homogeneous dense neutrino gas. These solutions correspond to collective rotation of all neutrino polarization vectors around a fixed axis in the flavor…

High Energy Astrophysical Phenomena · Physics 2021-08-04 Zewei Xiong , Yong-Zhong Qian

We investigate the multi-azimuthal angle (MAA) effect on collective neutrino oscillation by considering the three-dimensional neutrino momentum distribution in a realistic electron-capture supernova model with an $8.8 M_{\odot}$ progenitor.…

High Energy Astrophysical Phenomena · Physics 2021-03-17 Masamichi Zaizen , Shunsaku Horiuchi , Tomoya Takiwaki , Kei Kotake , Takashi Yoshida , Hideyuki Umeda , John F. Cherry

We reexamine the constraints on mixing between electron and muon or tau neutrinos from shock-reheating and r-process nucleosynthesis in supernovae. To this end neutrino flavor evolution is described by nonlinear equations following from a…

Astrophysics · Physics 2009-10-22 G. Sigl

The matter-enhanced oscillations of two neutrino flavors are studied using a uniform semiclassical approximation. Unlike some analytic studies which have focused on certain exactly-solvable densities, this method can be used for an…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. B. Balantekin , J. F. Beacom

We investigate neutrino flavor oscillations in vacuum within a general conformal coupling model. We first examine the flavor oscillations within the plane-wave description of neutrinos, and then we extend our analysis to the…

High Energy Physics - Phenomenology · Physics 2022-09-28 Fayçal Hammad , Parvaneh Sadeghi , Nicolas Fleury

In the work, we derive exact analytic expressions for $(3+N)$-flavor neutrino oscillation probabilities in an arbitrary matter potential in term of matrix elements and eigenvalues of the Hamiltonian. With the analytic expressions, we…

High Energy Physics - Phenomenology · Physics 2023-07-12 Chee Sheng Fong

We give a phenomenological interpretation of atmospheric and solar neutrino oscillations by considering two scenarios for the neutrino mass spectrum: (a) m_1 \ll m_2 \ll m_3 and (b) m_1 \approx m_2 \approx m_3. A new parametrization of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zhi-zhong Xing

A supersymmetric see-saw model obeying the flavor symmetry L_mu - L_tau, which naturally predicts quasi-degenerate neutrinos, is investigated. Breaking of the symmetry is introduced in the Dirac mass matrix because it is the most economic…

High Energy Physics - Phenomenology · Physics 2010-04-05 Toshihiko Ota , Werner Rodejohann

Self induced neutrino flavor conversions in the dense regions of stellar core collapse are almost exclusively studied in the standard two flavor scenario. Linear stability analysis has been successfully used to understand these flavor…

High Energy Physics - Phenomenology · Physics 2020-01-09 Madhurima Chakraborty , Sovan Chakraborty

We discuss the three neutrino flavor evolution problem with general, flavor-diagonal, matter potentials and a fully parameterized mixing matrix that includes CP violation, and derive expressions for the eigenvalues, mixing angles and…

High Energy Physics - Phenomenology · Physics 2009-10-13 James P. Kneller , Gail C. McLaughlin

We study the fully nonlinear fast flavor evolution of neutrinos in 1+1 dimensions. Our numerical analysis shows that at late time the system reaches an approximately steady state. Using the steady state approximation we analytically show…

High Energy Physics - Phenomenology · Physics 2020-09-23 Soumya Bhattacharyya , Basudeb Dasgupta

In dense matter like the Supernovae and at high energy, neutrinos have two points where the nonadiabatic transitions could occur. With the present values of the oscillation parameters in the standard three flavor scenario, two nonadiabatic…

High Energy Physics - Phenomenology · Physics 2010-03-16 K. Yamamoto

The interpretation of the existing experimental evidences for oscillations of neutrinos in schemes with three and four neutrino mixing is reviewed. Forms of the lepton mixing matrix allowed by the neutrino oscillation data are considered.…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. T. Petcov

We show how a unified description of the various two-flavor neutrino oscillation solutions, allowed by the atmospheric and solar neutrino experiments, are naturally realized within the framework of $\nu$MSSM (MSSM augmented with the seesaw…

High Energy Physics - Phenomenology · Physics 2011-05-12 Qaisar Shafi , Zurab Tavartkiladze

In astrophysical environments with intense neutrino fluxes, neutrino-neutrino forward scattering contributes both diagonal and off-diagonal potentials to the flavor-basis Hamiltonian that governs neutrino flavor evolution. We examine a…

Astrophysics · Physics 2008-11-26 George M. Fuller , Yong-Zhong Qian