In my own
experience, compost worms such as Red Wigglers, are quite capable of surviving very cold winters, if they are given the right conditions. I live in a part of Germany where the winter temperatures can well reach -20 * C. My whole garden has become infested with compost worms since I introduced them a few years ago. I always keep my garden heavily mulched, especially at this time of year, keeping the soil relatively warm and damp, giving the worms a good chance of survival.
As for those worms living in compost bins, I have given them plenty of shredded corrugated
cardboard – about half the volume of the bin – giving the worms a pleasant living space as well as insulation against the cold. The temperature in the bins rarely goes below 15* C, so the worms are relatively comfortable. Of
course there are losses, but there are still plenty of worms there in spring to continue the composting process.
So if you keep your worms in a shed, I would recommend a deep layer of shredded cardboard and/or newsprint (don’t forget to keep it damp) and the greater part of your worms will have a good chance of survival.