Speaker
Description
It was recently shown that in multi-Higgs models with a CP invariant potential and spontaneous CP violation, despite having free quadratic parameters that could induce a decoupling regime for the new scalars, that possibility cannot be fully realized. Contrary to expectations, there are states with masses that cannot be much larger than the electroweak scale once perturbativity constraints are imposed on the quartic couplings. This phenomenon is related to the existence of a second candidate vacuum; in that case, both candidate vacua are simply related via a CP transformation.
The analysis of this "multiple possible vacua" - "existence of light states" connection is now extended to (i) 2 Higgs doublets models with both a CP violating potential and CP violating candidate vacua ('mixed CP violation'), and (ii) some 3 Higgs doublets where further insights can be obtained.