Scalar potential in models with spontaneously broken quantum scale invariance

by Dumitru Ghilencea (IFIN-HH Bucharest (RO))

Thursday 1 Dec 2016, 13:15 → 14:15 Europe/Zurich

4/2-037 - TH meeting room (CERN)

I discuss the one- and two-loop corrections to the scalar potential (of a higgs-like field) in a classically scale invariant model in d=4, in which this symmetry is preserved by the loops calculation, being broken only spontaneously (by the dilaton vev). I also discuss the differences from the similar calculation in which this symmetry is broken (explicitly) by the regularization of the loop corrections. In particular the beta functions of these theories are shown to differ starting from two-loops, due to evanescent interactions (i.e. vanishing in d=4) but required by scale invariance in d=4-2\epsilon. The implications for the hierarchy and cosmological constant problems are also discussed. (https://arxiv.org/abs/1508.00595 , https://arxiv.org/abs/1608.05336 )