When it gets below 60F regularly then growth will slow, as will ripening, but there is no really critical temperature except one that causes a hard frost which can depend on environmental factors and range anywhere from upper 20's to mid 30's F. Your local evening news weather forecast will probably issue a frost warning when the conditions get to that point.
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It's the air temperature that's critical, BUT in a greenhouse you will have the daytime temperatures warming the ground (unless it has an elevated floor off the ground) so that heat is radiated back up into the greenhouse during the night.Â
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It wouldn't surprise me if the plants can survive in there with night time lows a little below freezing outside so long as it gets up to ~50F in the daytime, but at that point the plants will be doing nothing useful except keeping the pods hydrated while they very slowly ripen. At that point any mature pods would ripen faster indoors due to the higher indoor temperature except any not mature enough might rot, shrivel, or mold before ripening.