English

Non Minimal Terms in Composite Higgs Models and in QCD

High Energy Physics - Phenomenology 2015-06-19 v2

Abstract

We introduce a general parametrisation for theories where the Higgs is a Goldstone boson that encompasses all existing models. Our construction deviates from extra-dimensional or deconstructed theories through the inclusion of "non-local" interactions in theory space. These terms are necessary to reproduce the most general 4D effective lagrangian compatible with the symmetries. After showing the relation of our formalism to the Callan-Coleman-Wess-Zumino effective lagrangian we apply our framework to SO(5)/SO(4) composite Higgs models studying the implications for the Higgs potential, coupling of resonances and S-parameter. We also outline the relevance of non-minimal terms in effective descriptions of QCD, studying the electro-magnetic splitting of pions and the correlation between L_9 and L_10 in the chiral lagrangian.

Keywords

Cite

@article{arxiv.1403.3116,
  title  = {Non Minimal Terms in Composite Higgs Models and in QCD},
  author = {Stefania De Curtis and Michele Redi and Elena Vigiani},
  journal= {arXiv preprint arXiv:1403.3116},
  year   = {2015}
}

Comments

29 pages, v2 minor changes