A simple search would show you :-
"The minimum connection time (MCT) at Doha's Hamad International Airport (DOH) is officially 45 minutes for international to international flights"
Most times I've been through DOH I've not had to go through security (when connecting from the UK).
Last year I had a 50 minute connection. Landed a bit early, no security, so still had time for a drink in the lounge.