  We study entanglement between two modes of a free bosonic and fermionic field
as seen by two relatively accelerating observers at the soft-hair horizon of a
four-dimensional supertranslated Schwarzschild black hole. First, we associate
the shock wave to the near horizon geometry by explicit construction of map
between their metric as well as relation between wave form factor and soft hair
function. We then compute mutual information and entanglement negativity as a
measure of entanglement between these two observers and show that their angular
dependence at the soft-hair horizon. We also show that for vanishing soft hair
function our results are equal to that of an ordinary Schwarzschild black hole
case.
