Study JoeM's second post because that is the bottom line for most all big game hunting. After that just about any arrow that is properly spined for your bow will be heavy enough to do the job.
Having said that, it is wise to maximize arrow performance by weighting the arrow to 9-10 grains per pound of bow weight... minimum.
Carbon arrows are notoriously over spined and under weight for trad bows. This can be remedied easily enough by adding tip weight by various means... steel or brass adapters and inserts primarily.
It's not uncommon to end up with 300 grains on the front of the arrow to properly tune the shaft and boost total arrow weight... and that's a good thing!
Do a search for arrow tuning and you'll learn a lot.