It's not clear what definition you are using when you say "without overwintering", so let's consider chiles outside in nature. It depends on the variety. Pubescens are considered to have the longest lifespan and can live 15 to 16 years - assuming no fire, frost, insect infestation, etc.
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But for someone growing for other than ornamental purposes (like most of us here), the bigger question is how long a chile plant will be productive enough to justify keeping it around. Again, pubescens seem to have the longest productive lives, as well, assuming you can get production from them in the first place based on your growing conditions. Wilds are probably a close second. General agreement, though, is that most chiles drop off production significantly after the second or third year. Some choose to keep them going after this, while others start new plants when production drops. Again, specific growing conditions have an influence.Â