  The pattern of neutrino flavor oscillations could be altered by the influence
of noisy perturbations such as those arising from a gravitational wave
background (GWB). A stochastic process that is consistent with a GWB has been
recently reported by the independent analyses of pulsar timing array (PTA) data
sets collected over a decadal timescale by the North American Nanohertz
Observatory for Gravitational Waves (NANOGrav), the European Pulsar Timing
Array (EPTA), the Parkes Pulsar Timing Array (PPTA), and the Chinese Pulsar
Timing Array (CPTA) collaborations. We investigate the modifications in the
neutrino flavor oscillations under the influence of the GWB reported by the PTA
collaborations and we discuss how such effects could be potentially revealed in
near-future neutrino detectors, possibly helping the discrimination of
different models for the GWB below the nHz frequency range.
