Many badges have ambiguous or non-definitive descriptions (I think). I agree on keeping them short & simple, but, for the curious (& cunning) minds out there, can't we just put a link to this awesome detailed answer at the end of the Help page describing all the badges? Just a thought.
Another proposal will be expandable descriptions. If the user feels he needs more clarification on a particular badge, he could just click on the badge description which could expand & display all the implementation details.
An expandable icon tooltip (suggested by sha-wiz-dow-ard)
The basic aim here is to make the search for mechanics/clarifications of badges easier. So, obviously, any other methods are welcome too!