Flavor ratios of astrophysical neutrinos interacting with stochastic gravitational waves having arbitrary spectra

Abstract

We study the evolution and oscillations of fixed massive neutrinos interacting with stochastic gravitational waves (GWs). The energy spectrum of these GWs is Gaussian, with the correlator of the amplitudes being arbitrary. We derive the equation for the density matrix for flavor neutrinos in this case. In the two flavors approximation, this equation can be solved analytically. We find the numerical solution for the density matrix in the general case of three neutrino flavors. We consider merging binary black holes as sources of stochastic GWs with realistic spectra. Both normal and inverted mass orderings are analyzed. We discuss the relaxation of the neutrino fluxes in stochastic GWs emitted mainly by supermassive black holes. In this situation, we obtain the range of energies and the propagation lengths for which the relaxation process is the most efficient. We discuss the application of our results for the observation of fluxes of astrophysical neutrinos.

13 pages in JCAP LaTeX style, 6 eps figures, 2 tables; paper is revised, appendix is added, results are slightly modified; version published in JCAP

References in corpus (7)

• Flavor Ratio of Astrophysical Neutrinos above 35 TeV in IceCube
• General treatment of quantum and classical spinning particles in external fields
• IceCube Search for Neutrinos Coincident with Compact Binary Mergers from LIGO-Virgo's First Gravitational-Wave Transient Catalog
• Neutrino spin oscillations in external fields in curved spacetime
• Spin oscillations of neutrinos scattered off a rotating black hole
• Testing gravity with neutrinos: from classical to quantum regime
• Sterile neutrino signals from supernovae

Cited by in corpus (8)

• Gravitational waves and neutrino oscillations in Chern-Simons axion gravity
• Astrophysical neutrino oscillations after pulsar timing array analyses
• Interaction of supernova neutrinos with stochastic gravitational waves
• Gravitational waves in neutrino plasma and NANOGrav signal
• Neutrino spin and flavor oscillations in gravitational fields
• Impact of hypermagnetic fields on relic gravitational waves, neutrino oscillations and baryon asymmetry
• Neutrino oscillations in gravitational fields and astrophysical applications
• Spin and flavor oscillations of neutrinos in gravitational fields