The Standard Model has reigned triumphant for three decades. For just as long,theorists and experimentalists have speculated about what might lie beyond. Manyof these speculations point to a particular energy scale, the teraelectronvolt (TeV)scale which will be probed for the first time at the LHC. The stimulus for thesestudies arises from the most mysterious - and still missing - piece of the StandardModel: the Higgs boson. Precision electroweak measurements strongly suggest thatthis particle is elementary (in that any structure is likely far smaller than its Comptonwavelength), and that it should be in a mass range where it will be discovered at theLHC. But the existence of fundamental scalars is puzzling in quantum field theory,and strongly suggests new physics at the TeV scale. Among the most prominentproposals for this physics is a hypothetical new symmetry of nature, supersymmetry,which is the focus of much of this text. Others, such as technicolor, and large orwarped extra dimensions, are also treated here.