Dynamical Electroweak Superconductivity from a Composite Little Higgs
Ann E. Nelson
TL;DR
The paper tackles electroweak symmetry breaking by realizing a composite little Higgs that remains UV-insensitive and less fine-tuned than traditional approaches. It builds a bottom-up sequence of natural EFTs, starting from the SM with a light Higgs, progressing to the SU(5)/SO(5) littlest Higgs at 1–10 TeV, and then to a composite Higgs above 10 TeV produced by Ultracolor SO(7) dynamics. The top sector provides the dominant negative mass-squared for the Higgs while gauge interactions yield a stabilizing quartic; a spectrum of TeV-scale new states, including heavy vector bosons, a scalar triplet, and top partners, emerges. The framework maintains consistency with precision data and flavor constraints, offering a viable, testable alternative to MSSM and Technicolor with concrete predictions for TeV-scale resonances and a UV-insensitive origin of the electroweak scale, encapsulated by a decay constant $f\sim 1$ TeV and cutoff $\Lambda_\chi\sim 4\pi f$.
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. 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.
