Nonrelativistic Short-Distance Completions of a Naturally Light Higgs
  Nonrelativistic scalar field theories can exhibit a natural cascading hierarchy of scales, protected by a hierarchy of polynomial shift symmetries. Using a simple model, we argue that a high-energy cross-over to such nonrelativistic behavior naturally leads to light scalars, and thus represents a useful ingredient for technically natural resolutions of scalar mass hierarchies, perhaps even the Higgs mass hierarchy puzzle. 
Kevin T. Grosvenor, Petr Horava, Christopher J. Mogni, Ziqi Yan
hep-ph hep-lat hep-th