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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

Boltzmann solvers are an important tool for the computation of cosmological observables in the linear regime. In the presence of massive neutrinos, they involve solving the Boltzmann equation followed by an integration in momentum space to…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-22 Caio Bastos de Senna Nascimento

We implement a multi-group and discrete-ordinate neutrino transport model in spherical symmetry which allows to simulate collective neutrino oscillations by including realistic collisional rates in a self-consistent way. We utilize this…

High Energy Astrophysical Phenomena · Physics 2023-04-13 Zewei Xiong , Meng-Ru Wu , Gabriel Martínez-Pinedo , Tobias Fischer , Manu George , Chun-Yu Lin , Lucas Johns

By resorting to recent results on the relativistic currents for mixed (flavor) fields, we calculate a space-time dependent neutrino oscillation formula in Quantum Field Theory. Our formulation provides an alternative to existing approaches…

High Energy Physics - Phenomenology · Physics 2008-11-26 Massimo Blasone , Paulo Pires Pacheco , Hok Wan Chan Tseung

We propose a novel numerical method for solving multi-dimensional, special relativistic Boltzmann equations for neutrinos coupled to hydrodynamics equations. It is meant to be applied to simulations of core-collapse supernovae. We handle…

High Energy Astrophysical Phenomena · Physics 2015-06-22 Hiroki Nagakura , Kohsuke Sumiyoshi , Shoichi Yamada

We present a formulation of the quantum kinetic equations (QKEs) which govern the evolution of neutrino flavor at high density and temperature. Here, the QKEs are derived from the ground up, using fundamental neutrino interactions and…

High Energy Physics - Phenomenology · Physics 2014-06-24 Alexey Vlasenko , George M. Fuller , Vincenzo Cirigliano

The phenomenology of massive neutrinos -- flavour mixing in the lepton sector causing oscillations between different neutrino-types along their propagation over macroscopic distances in vacuum -- aims at relating observable quantities…

High Energy Physics - Phenomenology · Physics 2020-12-11 Winfried A. Mitaroff

Neutrino transport in compact objects is an inherently challenging multi-dimensional problem. This difficulty is compounded if one includes flavor transformation -- an intrinsically quantum phenomenon requiring one to follow the coherence…

High Energy Astrophysical Phenomena · Physics 2025-05-14 Evan Grohs , Sherwood Richers , Julien Froustey , Francois Foucart , James P. Kneller , Gail C. McLaughlin

The standard theory of neutrino oscillations is reviewed, highlighting the main assumptions: the definition of the flavor states, the equal-momentum assumption and the time = distance assumption. It is shown that the standard flavor states…

High Energy Physics - Phenomenology · Physics 2008-11-26 Carlo Giunti

Collective oscillations of supernova neutrinos above the neutrino sphere can be completely described by the propagation of individual neutrinos in external potentials and are in this sense a linear phenomenon. An effective theory of…

High Energy Physics - Phenomenology · Physics 2018-05-02 Rasmus S. L. Hansen , Alexei Yu. Smirnov

We present a new multi-dimensional radiation-hydrodynamics code for massive stellar core-collapse in full general relativity (GR). Employing an M1 analytical closure scheme, we solve spectral neutrino transport of the radiation energy and…

High Energy Astrophysical Phenomena · Physics 2016-03-09 Takami Kuroda , Tomoya Takiwaki , Kei Kotake

Neutrino flavor transformations in core-collapse supernovae and binary neutron star mergers represent a complex and unsolved problem that is integral to our understanding of the dynamics and nucleosynthesis in these environments. The high…

High Energy Physics - Phenomenology · Physics 2023-05-02 Amol V. Patwardhan , Michael J. Cervia , Ermal Rrapaj , Pooja Siwach , A. B. Balantekin

We discuss a new kind of astrophysical transport problem: the coherent evolution of neutrino flavor in core collapse supernovae. Solution of this problem requires a numerical approach which can simulate accurately the quantum mechanical…

Astrophysics · Physics 2009-06-09 Huaiyu Duan , George M. Fuller , J. Carlson

Neutrinos propagate in astrophysical and cosmological environments modifying their flavor in intriguing ways. The study of neutrino propagation in media is based on the mean-field, extended mean-field and Boltzmann equations. We summarise…

Solar and Stellar Astrophysics · Physics 2015-10-21 Cristina Volpe

We study neutrino oscillations in space within a realistic model in which both the source and the target are considered to be stationary having Gaussian-form localizations. The model admits an exact analytic solution in field theory which…

High Energy Physics - Phenomenology · Physics 2009-10-31 Ara Ioannisian , Apostolos Pilaftsis

We report on the stellar core collapse, bounce, and postbounce evolution of a 13 solar mass star in a self-consistent general relativistic spherically symmetric simulation based on Boltzmann neutrino transport. We conclude that…

We present a linear stability analysis of the fast-pairwise neutrino flavor conversion based on a result of our latest axisymmetric core-collapse supernova (CCSN) simulation with full Boltzmann neutrino transport. In the CCSN simulation,…

High Energy Astrophysical Phenomena · Physics 2020-01-08 Hiroki Nagakura , Taiki Morinaga , Chinami Kato , Shoichi Yamada

We develop a formalism to model neutrino evolution encompassing both flavor and particle-antiparticle mixings and decohering collisions. Our results include a quantum kinetic equation (a set of coupled scalar equations) for the generalized…

High Energy Physics - Phenomenology · Physics 2023-10-13 Kimmo Kainulainen , Harri Parkkinen

We present a new subgrid model for neutrino quantum kinetics, which is primarily designed to incorporate effects of collective neutrino oscillations into neutrino-radiation-hydrodynamic simulations for core-collapse supernovae and mergers…

High Energy Astrophysical Phenomena · Physics 2024-03-19 Hiroki Nagakura , Lucas Johns , Masamichi Zaizen

We study neutrino oscillations within the framework of extended theories of gravity. Based on the covariant reformulation of Pontecorvo formalism, we evaluate the oscillation probability of neutrinos propagating in static spacetimes…

General Relativity and Quantum Cosmology · Physics 2020-01-22 Luca Buoninfante , Giuseppe Gaetano Luciano , Luciano Petruzziello , Luca Smaldone