I've hunted some pretty cold environments from a tree stand in the Midwest, both in Nov and early Jan with lots of snow on the ground. Nasty cold weather and being in a tree stand means you're not moving to keep your body warmth up. Metal is a major conductor and touching an ice cold bow can send chills in you very quickly and efficiently. A few years ago it was in the low teens, overcast and I was in the stand for a few hours. It was cold, but I wasn't shaking. A doe comes through with a small buck behind her. Where there's one, there are more, so I grabbed the bow from the hanger. I was wearing a thin glove at the time and would keep my hands in my jacket pocket. That bow was so cold I instantly got a chill and started shaking. It was literally uncontrollable. I couldn't stop. I could only imaging how much I would shake if a shooter came through. After that I started my search for the best solution.
I found a thin rubber bow grip cover that went over the factory grip....molded type cover so it fit perfectly. This made a big difference in terms of insulation. (don't recall the brand). Touching a bare aluminum riser, even with a glove, transfers a lot of cold to the hand. This grip stopped that temperature transfer. Thie grip had no impact on accuracy out to 70 yards. In fact I leave it on year round at this point. It's all of a millimeter or two thick. I also use a hand warmer bun, like you see quarterbacks use in the NFL. Kind of like a fanny pack worn around the waist, but in front of your body to hold the hands. Cabals makes a great one (water proof, thinsulate, etc). This allows me to wear very thin gloves or even no gloves in cold temperatures. My hands can touch inside the bun, which again helps maintain heat. I'll usually wear a thin pair of gloves. Ie Kuiu base layer wool or the avg black base synthetic layer glove at REI. This keeps the chill off, yet is so thin it won't impact your shot or your "feel". Lastly, if really cold weather, I'll throw a hand warmer in the hand warmer bun. This does a great job of keeping all that heat in there and my hands warm.
With this setup I can sit in any weather above zero and be perfectly comfortable. This assumes the rest of my body is well protected. It's just as important to keep your feet, head, neck, etc well insulated. This setup has made a big difference in how long I'm willing to sit in the stand...and the quality of the deer I shoot shows it.