Little Higgses from an Antisymmetric Condensate

TL;DR

Problem: achieve a weakly coupled Higgs sector with a cutoff around 10 TeV while avoiding one-loop quadratic divergences. Approach: construct a little-Higgs model based on the SU(6)/Sp(6) coset in which two Higgs doublets are pseudo-Goldstone bosons protected by collective symmetry breaking; gauge and Yukawa interactions generate the Higgs potential. Key contributions: explicit SU(6)/Sp(6) realization, demonstration of one-loop divergence cancellation for the Higgses, and identification of a TeV-scale spectrum including heavy gauge bosons and vector-like fermions. Significance: provides a calculable, UV-tensioned framework for electroweak symmetry breaking with testable LHC-scale phenomenology and compatibility with precision data.

Abstract

We construct an SU(6)/Sp(6) non-linear sigma model in which the Higgses 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 SU(2)xU(1) gauge bosons. Additional vector-like pairs of colored fermions are also present.