Cosmological lepton asymmetry with a nonzero mixing angle \theta_{13}
  While the baryon asymmetry of the Universe is nowadays well measured by
cosmological observations, the bounds on the lepton asymmetry in the form of
neutrinos are still significantly weaker. We place limits on the relic neutrino
asymmetries using some of the latest cosmological data, taking into account the
effect of flavor oscillations. We present our results for two different values
of the neutrino mixing angle \theta_{13}, and show that for large \theta_{13}
the limits on the total neutrino asymmetry become more stringent, diluting even
large initial flavor asymmetries. In particular, we find that the present
bounds are still dominated by the limits coming from Big Bang Nucleosynthesis,
while the limits on the total neutrino mass from cosmological data are
essentially independent of \theta_{13}. Finally, we perform a forecast for
COrE, taken as an example of a future CMB experiment, and find that it could
improve the limits on the total lepton asymmetry approximately by up to a
factor 6.6.
