I have a paper which is accepted without any minor or major revisions in a good journal (lucky me). It is fully published. Since I had no chance to revise it, many small mistakes slipped into the proof. During proofreading I tried my best to catch any mistake and correct it. But these were two problems: 1) There were too many small mistakes so at least one of them slided my attention. 2) I couldn't ask the copy-editor to remove a whole "sentence".
If I had the chance to revise it, I would easily fix that up. But now the erroneous sentence is there in my beloved paper. It is now fully published (as online and hard copy). I am tempted to send a corrigendum on that paper, saying that the line is incorrect and should not be there. But on the other hand am afraid that it would make my paper look not-perfect or even ugly.
Do you suggest me sending a corrigendum? Or should I wait until someone notices that and writes a letter to the editor and then I answer in a reply to that letter, saying that "yes you are right, that sentence should not be there in the first place"? And if no one noticed that, I leave that error alone.
Which other ideas do you have about this?
Thanks a lot.