Try turning down graphical settings and see if you get a better framerate. That would indicate you are cpu limited. The 4440 is a pretty good gaming cpu, but it does give up a fair amount of base clockspeed and turbo to the higher end i5 skus, along with not being overclockable. The game is a ram hog as well, I assume you have at least 8gb of system ram?
Game.gpu got around 60FPS min and 75 max with a 290x and a 2500k, which will be similar to your cpu, but maybe a bit faster. That may have been single player though, which will be a lot less cpu demanding than multiplayer. I am not sure how patches have improved things, but initially the game was horribly optimized.
Modern Warfare benchmarks