I'm driving tacks with my field points, but when I switch over to broadheads my arrows consistently head out 10 yards then dive down and to the right. What the heck? I'm shooting the exact same Carbon Express arrows with both tips...
Broad heads are much more susceptible to tuning issues than fieldpoints, even though your fieldpoints are flying great. The most likely culprit is that your knocking point is too low, and your arrow rest is too far right. Granted very minute adjustment is needed. It shouldn't effect your field points by making small adjustments, but properly tuned broadheads are the true test and of course most important. Have you paper tuned and are you shooting bullet holes with your field points? I would think that you should be getting a high and left paper tear. I would try adjusting your rest slightly lower to see if that corrects your broadheads from diving and moving your rest ever so slightly away from your riser if you are right handed. Good news is that you said your broadheads were being consistent and that should be an easy fix. It can be frustrating moving your rest and knocking point, so what I do is get a good bullet whole with field points and set my sight to where my broadheads group.
Broadheads are fighting with vanes for control of the flight of the arrow. Try lowering your bow weight a couple pounds or go to a heavier spined arrow. Some heads shoot great and others catch air like the wings on a jet. They want to do the same job as the fletch only from the front of the arrow. Lowering the bow weight will work sometimes. It's basically the same as changing to a heavier arrow. Good luck.
A good shooter that's a hack with tuning can win tournaments with field points. It takes a good shooter that's a good technician to win a broadhead tournament. Your bow HAS to be in tune to shoot broadheads precisely with your fieldpoints. Become one with fatsbucknut's post of the Easton tuning guide, get your bow in tune and it'll put ANY broadhead right on target with your fieldpoints.
Assuming his spine is close, it's FAR more likely a tuning the rest/nockpoint issue. Denner is closer, but the nockpoint is more likely too high (rest too low) if the arrows are diving. I'd not even mess with paper. I'll generally set a bow up eyeballing everything, shoot it and see what it does. Zero a pin at 20 - 25yds, then do a quick walk-back tune to make sure my rest is near centered, then screw on some BH's and make the fine tune adjustments needed to correct the variance I may have between BH's and FP's.