It depends on how short of a short stack we are talking about. Also, I'm assuming this is a MTT and we're still a ways off from the bubble (otherwise ICM becomes a huge factor and your question is too vague and simple to factor in ICM).
in the 15bb range if there are antes then you should be pushing pretty wide. And ideally you want to be first in the pot as simply winning the blinds and antes is a big chunk of your stack.
what is pretty wide? in early position I'd say any pocket pair, any suited ace, A9o+, KQ, KJs, and a few mid suited connecters such as 78s, 79s, 89s, 67s.
at 15 bbs if there are antes and limpers then you still want to be pushing pretty wide, but I'd add in a few more suited connectors and drop Ace rag. The reason is the presence of even a single limper makes it pretty likely that you'll get called and so you want to push hands that are more likely to be live when you are called. An ace is the most common card people/limpers play. If they limp A9 then you jam with A6 and everyone else folds and it's only a little more to call then they will, and you are crushed.
If you have a stack in the 10-15bb range then basically the same as above except probably any ace will do (not just suited ace rag). As for jamming over the top of the limpers: it's still generally a profitable move, but you are extremely likely to get called now. If there are 2+ limpers then it is almost a certainty that you will get called...but the extra dead money makes it even more worth it.
If you have under 10bbs, then first of all, there better be a very good reason that you got this low without jamming sooner. (most common legitimate reason is that you lost an all in vs. a shorter stack and were left crippled). Now, all that matters is being first in with any type of live hand. You cannot afford to pay the blinds again. you'll pretty much have to defend your BB with any 2 cards except in very rare situations. Before it comes to that, it's best to just jam yourself.
if it folds to you in late position with <10bbs, jam almost any 2 cards
if it folds to you in mid position with <10bbs jam a very wide range including all suited connectors as low as about 45s, all pairs, all aces, and any 2 cards over 7 even if they are not suited.
In early position with <10bbs if you are first into the pot you still have to jam pretty wide...remember you'll be paying the blinds in a couple hands and you CANNOT afford that. probably about the same range as above but add in any suited connectors, almost any suited cards, and probably any King. maybe you can let 82s go or 72s but you should probably jam 74s because it's suited, its connected and most importantly it's live.