Andreas Trautner (Lisbon)

Goofy Symmetries

Abstract: I will pedagogically introduce the recently discovered goofy transformations. Originally, goofy transformations were identified in explicit discussions of the two-Higgs-doublet model (2HDM), but their understanding is mandatory to describe the renormalization group (RG) fixed point structure of quantum field theories (QFTs) in general. Even though goofy transformations are, by definition, explicitly broken by the kinetic terms, the parameter relations they impose on the potential can be stable under RG running to all orders. Goofy transformations can prohibit bare scalar mass parameters and give rise to generation-dependent sensitivity on relative signs of gauge couplings, for what reason they may have important applications for the electroweak hierarchy problem and the Standard Model flavor puzzle.