I recently had a paper accepted by a journal which doesn't provide author proofs. Unfortunately, a typographical error was introduced during typesetting, but I had no way to know this until the paper went in print. I'm trying to determine what is the line between a minor typo and an error which requires issuing a correction.
To get into some more specifics, a constant was left out of an equation. Although that sounds really bad on its face, the equation is very standard and everyone in the field already knows the correct form of the equation. I can't realistically conceive of anyone being misled by the error. In fact, I doubt most readers will even notice. But it's technically incorrect as it stands.
This is one of those instances where I feel damned if I do and damned if I don't. Issuing a correction looks bad, but leaving the mistake looks bad as well. I double checked the revised manuscript we submitted and confirmed the error was definitely introduced by the journal staff. What do I do here?