Window function dependence of the novel mass function of primordial
  black holes
  We investigate the ambiguity of the novel mass function of primordial black
holes, which has succeeded in identifying the black hole mass in a given
configuration of fluctuations, due to the choice of window function of smoothed
density fluctuations. We find that while the window function dependence of the
exponential factor in the novel mass function is the same as the one in the
conventional mass function around the top-hat scale, the dependences are
different on other scales, which leads to the narrower mass function in the
novel formulation for some window functions.
