I use a pair of thin gloves (ones I use all year, warm or cold) and either use a muff with hand warmers or hands in my pockets with hand warmers.

When it's time to shoot I grab my bow and go. If it's a long stand off my hands do get cold. One thing I find really handy is my EZ Hanger bow holder. I have it adjusted so I can basically keep the bow hanging right at shooting position so if I need to I can take it on and off the hook as needed. If my hands get too cold I can just hang it up for a few seconds and warm them up.

Works for me.

I hate to wear any kind of thick gloves when I shoot.