Repository logo

Topological terms in Composite Higgs models

Accepted version



Change log


Gripaios, B 


We apply a recent classification of topological action terms to Composite Higgs models based on a variety of coset spaces G/H and discuss their phenomenology. The topological terms, which can all be obtained by integrating (possibly only locally-defined) differential forms, come in one of two types, with substantially differing consequences for phenomenology. The first type of term (which appears in the minimal model based on SO(5)/SO(4)) is a field theory generalization of the Aharonov-Bohm phase in quantum mechanics. The phenomenological effects of such a term arise only at the non-perturbative level, and lead to P and CP violation in the Higgs sector. The second type of term (which appears in the model based on SO(6)/SO(5)) is a field theory generalization of the Dirac monopole in quantum mechanics and has physical effects even at the classical level. Perhaps most importantly, measuring the coefficient of such a term can allow one to probe the structure of the underlying microscopic theory. A particularly rich topological structure, with 6 distinct terms, is uncovered for the model based on SO(6)/SO(4), containing 2 Higgs doublets and a singlet. Of the corresponding couplings, one is an integer and one is a phase.



Beyond Standard Model, Effective Field Theories, Technicolor and Composite Models

Journal Title

Journal of High Energy Physics

Conference Name

Journal ISSN


Volume Title



Springer Science and Business Media LLC


All rights reserved