You can't kill yeast with cold unless you freeze them. They will go dormant and fall to the bottom of your fermenter and do nothing, but they will still be alive. If you warm them up and give them a lot of stuff to eat they will wake up and do their thing. The warmer they are the more active they will be, so the number at 48 hours is highly dependent on conditions. Cooling them way down may not be the best way to treat them, or the best way to get beer, that tastes the way you want, but it won't kill them.