Self-consistent model of extragalactic neutrino flux from evolving
  blazar population
  We study constraints on the population of neutrino emitting blazars imposed
by the absence of doublets in astrophysical muon neutrino signal and z>0.3
redshift of nearest identified neutrino-emitting blazar (an order of magnitude
further away than the nearest gamma-ray emitting blazar). We show that in spite
of the absence of correlation of neutrino arrival directions with positions of
gamma-ray emitting blazars, cumulative blazar flux could explain most of
astrophysical neutrino flux measured in muon neutrino channel. This is possible
if the population of neutrino emitting blazars has experienced rapid positive
evolution at least as (1+z)^5 at z< 1. Such a model avoids previously derived
constraint on the low level of blazar contribution to extragalactic neutrino
flux because gamma-ray and neutrino fluxes are dominated by different sets of
blazars. Rapid evolution of neutrino emitting blazars could be explained by the
fact that only high luminosity blazars hosting radiatively efficient accretion
flows are efficient neutrino sources.
