“…For process (1), we can define the following Mandelstam variables: 2 , and u 2 = (q f − p i ) 2 . Since a soft-photon amplitude depends only on either (s,t) or (u,t), chosen from the above set, we can derive two distinct classes of soft-photon amplitudes: M (1) µ (s, t) and M (2) µ (u, t) [8]. The general amplitude from the first class is the two-s-two-t special amplitude M T sT ts µ (s i , s f ; t q , t p ); that from the second class is the two-u-two-t special amplitude M T uT ts µ (u 1 , u 2 ; t q , t p ).…”