The SM exhibits puzzling hierarchies of scales that have no apparent dynamical explanation. I will discuss how the flavor and the gauge hierarchy problem shape our expectations for new physics at the LHC and elsewhere, and how one should go about making sure nothing will be missed by upcoming searches. Flavor considerations, in particular, can have a surprising impact on the signatures and visibility of new physics in direct searches at the LHC. Further, I'll discuss a systematic approach to re-analysing experimental results, which extends their scope and reveals important signatures that could have been missed.