Dynamical Electroweak Superconductivity From a Composite Little Higgs

Abstract

I describe, from the bottom up, a sequence of natural effective field theories. Below a TeV we have the minimal standard model with a light Higgs, and an extra neutral scalar. In the 1-10 TeV region these scalars are part of a multiplet of pseudo Nambu-Goldstone Bosons (NGBs). Interactions with additional TeV mass scalars, gauge bosons, and vector-like charge 2/3 quarks stabilize the Higgs mass squared parameter without finetuning. Electroweak superconductivity may be determined in this effective theory as a UV insensitive vacuum alignment problem. Above the 10 TeV scale we have strongly coupled new gauge interactions.

Precision Electroweak Observables in the Minimal Moose Little Higgs Model

“…At still higher energies a UV completion of the theory is needed. This could be achieved with strongly coupled dynamics [14], a linear sigma model or supersymmetry. In the latter case the SUSY breaking scale is pushed to 10 TeV, alleviating the difficulties of flavor-changing neutral currents associated with TeVscale superpartners.…”

The Higgs as a pseudo-Goldstone boson

“…But while there is always some basis in which the condensate looks like (18), this may not be the basis in which the weak gauge interactions have the simple form (15), (16). Again there is a vacuum alignment issue.…”

“…Again there is a vacuum alignment issue. To see what the vacuum looks like in the particular basis defined by (15), (16) we must look at the symmetry breaking effect of the low energy gauge interactions. The result is something I find quite counter-intuitive, but ultimately very beautiful, so I am going to show you how it works in a bit of detail.…”