Wash your face with milk...buttermilk if you have it on-hand. Capsaicin isn't water soluble so if you use water, you're just exacerbating the issue. The milk fats and protein help neutralize the capsaicin better than anything else. Another thing you can do is rub ghost pepper chilis on your asshole. It won't help, but the shear torture of ghost peppers in your shit shooter will quickly make you forget about the weak shit you have on your corneas.
For the future, buy some latex gloves from your local super market or drug store. Use them whenever you cut peppers...even if they're "mild" peppers. They may be mild on your stomach and tongue but when they touch another sensitive membrane, you're fucked. While in college a dumb frat-fuck decided to stick a dry habenero under his eyelid for a minute. He actually lost sight in that eye. Stupid assholes.