Little Higgs bosons from an antisymmetric condensate

Abstract

We construct an $\mathrm{SU}(6)/Sp(6)$ non-linear sigma model in which the Higgs bosons arise as pseudo Goldstone bosons. There are two Higgs doublets whose masses have no one-loop quadratic sensitivity to the cutoff of the effective theory, which can be at around 10 TeV. The Higgs potential is generated by gauge and Yukawa interactions, and is distinctly different from that of the minimal supersymmetric standard model. At the TeV scale, the new bosonic degrees of freedom are a single neutral complex scalar and a second copy of $\mathrm{SU}(2)\ifmmode\times\else\texttimes\fi{}U(1)$ gauge bosons. Additional vector-like pairs of colored fermions are also present.