Boric Acid acts as an insecticide to most insects.
From Wikipedia:Boric acid was first registered in the US as an insecticide in 1948 for control of cockroaches, termites, fire ants, fleas, silverfish, and many other insects. It acts as a stomach poison affecting the insects' metabolism, and the dry powder is abrasive to the insects' exoskeleton.
Bees have exoskeletons.
From the EPA
Boric acid was first registered as a pesticide in the U.S. in 1948.
Currently, 189 pesticide products are registered which contain boric acid or
one of its sodium salts as an active ingredient.
I doubt you will find a specific study on honeybees and boric acid as there probably has not been one done. What has been shown is Boric Acid is effective against insects with exoskeletons. Honeybees fall into that category. So do roaches and small hive beetles. So should sprinkle your hive with Boric Acid? No. You can create traps for SHB in your hives with Boric Acid as long as the bees can't get into the trap but he SHB can. You also don't want the Boric Acid to spill out of the traps.
I hope this helps.