Contribution of the hybrid inflation waterfall to the primordial
  curvature perturbation
  A contribution $\zeta_\chi$ to the curvature perturbation will be generated
during the waterfall that ends hybrid inflation, that may be significant on
small scales. In particular, it may lead to excessive black hole formation. We
here consider standard hybrid inflation, where the tachyonic mass of the
waterfall field is much bigger than the Hubble parameter. We calculate
$\zeta_\chi$ in the simplest case, and see why earlier calculations of
$\zeta_\chi$ are incorrect.
