  We present a paradox for evaporating black holes, which is common in most
schemes trying to avoid the firewall by decoupling early and late radiation. At
the late stage of the black hole evaporation, the decoupling between early and
late radiation can not be realized because the black hole has a very small
coarse-grained entropy, then we are faced with the firewall again. We call the
problem hair-loss paradox as a pun on losing black hole soft hair during the
black hole evaporation and the situation that the information paradox has put
so much pressure on researchers.
