An arrow normally fly at around 330 fps + -
Suppose that arrow weights 400 grains including the broadhead.
Suppose that the broadhead is 1.5 inch.
Using the measure of Hunting Energy Units, a .357 Cal air rifle shooting the JSB 81.02 grains at 857 fps would give 24,787 HEU.
The arrow would give 198,000 HEU, that would mean that the injury of the arrow is 8 times more harmful than the one of the .357 Air rifle at that power.
A well placed .357 has already been enough for taking three white tailed deer. The dead was really soon because of perfect shot placement. Bot not even a drop of blood was in the ground.
I am sure that knowing how to measure the (at least theoretical) killing power, would be very helpful for taking a decision of which rifle you should bring with you for diverse kind of hunting.
Small birds, squirrels, rats and rabbits are not a matter of discussion, but racoons, jabalina, foxes, coyotes, are different story.