Dress code for infrared safe scattering in QED

We study the $S$-matrix and inclusive cross-section for general dressed states in quantum electrodynamics. obtain an infrared factorization formula of elements states. It enables us to what lead infrared-safe elements. The condition can be interpreted as memory effect which is nothing but conservation law asymptotic symmetry. derive generalized soft photon theorem also compute using necessary use appropriate initial final evaluate interference effects, cannot computed correctly by Fock due divergence.