We study the impact of neutrino magnetic moments on astrophysical neutrinos, in particular
supernova neutrinos and ultra-high energy neutrinos from extragalactic sources. We show that
magnetic moment-induced conversion of Dirac neutrinos from left-handed states into unobservable
right-handed singlet states can substantially change the flux and flavour composition of these
neutrinos at Earth. Notably, neutrinos from a supernova's neutronisation burst, whose flux can be
predicted with 𝒪(10%) accuracy, offer a discovery reach to neutrino magnetic moments
∼ few × 10-13
μB
, up to one order of magnitude below current limits. For
high-energy neutrinos from distant sources, for which no robust flux prediction exists, we show
how the flavour composition at Earth can be used as a handle to establish the presence of
non-negligible magnetic moments, potentially down to few× 10-17
μB
if the
measurement can be performed on neutrinos from a single source. In both cases, the sensitivity
strongly depends on the galactic (intergalactic) magnetic field profiles along the line of
sight. Therefore, while a discovery is possible down to very small values of the magnetic moment,
the absence of a discovery does not imply an equally strong limit. We also comment on the
dependence of our results on the right-handed neutrino mass, paying special attention to the
transition from coherent deflection by a classical magnetic field to incoherent scattering on
individual scattering targets. Finally, we show that a measurement of Standard Model Dirac
neutrino magnetic moments, of order 10-19
μB
, could be possible under rather optimistic,
but not completely outrageous, assumptions using flavour ratios of high-energy astrophysical
neutrinos.