# Neutrino quantum kinetics in three flavors

Source: [Neutrino quantum kinetics in three flavors](<https://www.sota2.com/research/paper/68fa49871e209131ce937b03>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-12-16T05:01:06.936Z

Authors: Shashank Shalgar, Irene Tamborra

Published: 2025-03-05T19:01:13.000Z

## Abstract

The impact of neutrino flavor conversion on the supernova mechanism is yet to be fully understood. We present multi-energy and multi-angle solutions of the neutrino quantum kinetic equations in three flavors, without employing any attenuation term for the neutrino self-interaction strength and taking into account neutrino advection and non-forward collisions with the background medium. Flavor evolution is explored within a spherically symmetric shell surrounding the region of neutrino decoupling in the interior of a core-collapse supernova, relying on the output of a spherically symmetric core-collapse supernova model with a progenitor mass of $18.6 M\_\\odot$. We select two representative post-bounce times: $t\_{\\rm pb} = 0.25$ s (no angular crossings are present and flavor conversion is triggered by slow collective effects) and $t\_{\\rm pb} = 1$ s (angular crossings trigger fast flavor instabilities). We find that flavor equipartition is achieved for the late post-bounce time ($t\_{\\rm pb} = 1$ s), where the (anti)neutrino emission properties among different flavors tend to approach each other. In this case, $\\bar\\nu\_e$ tends to $\\bar\\nu\_x = (\\bar\\nu\_\\mu + \\bar\\nu\_\\tau)/2$ and a similar trend holds for neutrinos. However, flavor equipartition does not occur for our early post-bounce time ($t\_{\\rm pb} = 0.25$ s). Accounting for weak-magnetism corrections, crossings in the $\\mu$ and $\\tau$ lepton number angular distributions arise; however, such crossings have a magnitude smaller than the one occurring in the electron sector and negligibly affect flavor evolution. Because of flavor conversion, the neutrino heating rate increases up to $30\\%$ with respect to the case where flavor conversion is neglected.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2503.03835>)

[PDF](<https://arxiv.org/pdf/2503.03835.pdf>)