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10°C to be on the safe side I've read.. some can tolerate a bit lower temperatures.
In my personal experience the bigger issue is watering during that time - they need only very little water but if it's a bit too little they die 🙂You can also overwinter them in the warm rooms you live in, they will get leggy though (could just cut back again in the spring).
Long story short chilli plants are perennials but it's a bit hit and miss in reality / in our climate.
How warm do you need it to overwinter chillis?