Dynamical symmetry breaking, CP violation, and a Higgs-like particle, Phys

A pseudoscalar associated with dynamical symmetry breaking can mix with a heavier scalar when CP is violated. We study how such a mixed state that is mostly pseudoscalar can resemble the observed 125 GeV particle. The production rate from gg is enhanced by the new heavy quarks and this compensates for the reduced WW, ZZ and γγ branching ratios. The particle can appear to be a scalar from angular distributions in ZZ decay while its pseudoscalar couplings should become evident in other processes. Dynamical electroweak symmetry breaking suggests that the 125 GeV Higgs-like particle should have little to do with a field whose expectation value breaks the symmetry. The light bosons that are expected are pseudoscalar and such particles should have tiny branching ratios to WW and ZZ. The data is suggesting otherwise [1, 2]. An implicit assumption behind the pure pseudoscalar prediction is CP invariance, and so it is now worthwhile to consider relaxing this. We shall focus on a strongly interacting fourth family as a specific framework for strongly interacting chiral fermions. This is similar to a one family technicolor model but the differences are more involved than a simple change of notation [3]. Our discussion could be generalized to any set of condensing fermions of a general dynamical symmetry breaking theory. We shall represent the dynamics at a TeV in terms of SU(2)L × U(1) invariant 4-fermion operators involving the four heaviest fermions, t′, b′, τ ′ and t. We shall initially ignore the fourth neutrino, ν ′; we return to it at the end where we consider two possibilities for its mass, Dirac or Majorana. Some new strong gauge interaction is assumed to be broken close to a TeV and give rise to the following effective operators. q′L