In central Canada. I use these down to about 2C or so. C5 GORE-TEX Thermo Gloves | GOREWEAR
They are wind and water proof. I find them a bit cool at 2C but they are doable. I honestly don’t remember if they work with touchscreens - I think the thumb or one finger might.
I’ve worn them down to -10c but don’t recommend that - you will get frostbite if you do that for much more than an hour.
These are extremely warm, no issues around 0c, but only water resistant - Sturmfist 4 | Winter Cycling Gloves With Aerogel Insulation | 45NRTH
You could also look at some of Sealskinz stuff, though I haven’t used them.
If the temps are really going to around freezing and wet for a long time, you might consider just getting a pair of pogies as well. There are pros and cons to that approach in those temps.
Edit; latex gloves were mentioned. I’ve tried nitrile gloves as a liner before. They add about 5c to your gloves. However your hands will be soaked - like pruney and puddles of sweat in under an hour. Don’t recommend, but have brought along on long rides for emergency use.