Overwintering in warm conditions

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So I have these 2 Jalapeno plants, and they produce nicely but the plants just aren't growing big enough by the time winter comes. So I thought about overwintering them. They are already in pots.
Now, the only place I really could move them is the cellar, where it's dark, (no windows) and rather warm, it's definitely more than 15C (60F). Could that work?