  A recent, intriguing paper by Hawking, Perry and Strominger suggests that
soft photons and gravitons can be regarded as black hole hair and may be
relevant to the black hole information paradox. In this note we make use of
factorization theorems for infrared divergences of the S-matrix to argue that
by appropriately dressing in and out hard states, the soft-quanta-dependent
part of the S-matrix becomes essentially trivial. The information paradox can
be fully formulated in terms of dressed hard states, which do not depend on
soft quanta.
