Abstract

We study the effects of non-standard self-interactions (NSSI) of neutrinos streaming out of a core-collapse supernova. We show that with NSSI, the standard linear stability analysis gives rise to linearly as well as exponentially growing solutions. For a two-box spectrum, we demonstrate analytically that flavor-preserving NSSI lead to a suppression of bipolar collective oscillations. In the intersecting four-beam model, we show that flavor-violating NSSI can lead to fast oscillations even when the angle between the neutrino and antineutrino beams is obtuse, which is forbidden in the Standard Model. This leads to the new possibility of fast oscillations in a two-beam system with opposing neutrino-antineutrino fluxes, even in the absence of any spatial inhomogeneities. Finally, we solve the full non-linear equations of motion in the four-beam model numerically, and explore the interplay of fast and slow flavor conversions in the long-time behavior, in the presence of NSSI.

Highlights

  • Neutrinos exiting a core-collapse supernova (SN) can undergo rapid flavor conversions

  • We explore how the exponentially growing flavor conversion modes are affected by the nonstandard self-interactions (NSSI)

  • While the linear stability analysis in standard model (SM) leads to an eigenvalue equation, the most general EoM incorporating NSSI does not do so

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Summary

INTRODUCTION

Neutrinos exiting a core-collapse supernova (SN) can undergo rapid flavor conversions. Due to the differences in interaction cross sections, the nonelectron neutrinos would decouple earlier than the electron neutrinos and would have a more forward peaked zenith angle distribution [26] These conversions can take place at a radius of r ∼ Oð10Þ km [25]. We start by performing a linear stability analysis in the two-neutrino flavor space to analytically understand the effects of NSSI on the onset of collective oscillation. Such an analysis typically leads to an eigenvalue equation [19], whose exponentially growing eigenvalues correspond to an instability, and indicate the onset.

THE FORMALISM
Introducing NSSI parameters
Setting up the problem
STABILITY ANALYSIS WITH NSSI
Analytical understanding of the evolution of a two-box spectrum
FAST FLAVOR OSCILLATIONS
Linearized analysis of the model
Interplay of fast and slow oscillations and NSSI
SUMMARY AND CONCLUSIONS
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