For example, in this text:
Lorem ipsum dolor sit amet, consectetur adipiscing elit. Nunc eu tellus vel nunc pretium lacinia. Proin sed lorem. Cras sed ipsum. Nunc a libero quis risus sollicitudin imperdiet.
I want to match the word after 'ipsum'.
This sounds like a job for lookbehinds, though you should be aware that not all regex flavors support them. In your example:
(?<=\bipsum\s)(\w+)
This will match any sequence of letter characters which follows "ipsum" as a whole word followed by a space. It does not match "ipsum" itself, you don't need to worry about reinserting it in the case of, e.g. replacements.
As I said, though, some flavors (JavaScript, for example) don't support lookbehind at all. Many others (most, in fact) only support "fixed width" lookbehinds — so you could use this example but not any of the repetition operators. (In other words, (?<=\b\w+\s+)(\w+)
wouldn't work.)