The Composite Higgs Signal at the Next Big Collider

arXiv

2203.03710

Date

2022-03-07

Frontier

Energy Frontier (EF)

Topical groups

• EF9

Submitted by

Kenneth Lane

Abstract

The Gildener-Weinberg (GW) mechanism produces a Higgs boson $H$ that is a dilaton. That is, $H$ is both naturally light and naturally aligned. It also predicts additional singly-charged and neutral Higgs bosons all of whose masses are $<500\mathrm{G}\mathrm{e}\mathrm{V}$ and, therefore, within reach of the LHC now. I argue that the GW Higgs is composite -- a bound state of fermions whose strong interactions are at some high, unknown scale ${\mathrm{\Lambda }}_H>1\mathrm{T}\mathrm{e}\mathrm{V}$. The lone harbingers of $H$ compositeness, ones that may be accessible at the next multi-TeV collider, are isovector vector ${\rho }_H$ and axial vector $a_H$ bound states whose masses are $\mathcal{O}\mathcal{(}{\mathcal{\Lambda }}_{\mathcal{H}}\mathcal{)}$. They decay into the only fermion-antifermion composites lighter than they are, the Higgs boson and longitudinally-polarized weak bosons: ${\rho }_H^{\pm ,0}\to W_L^{\pm }{Z}_L$, $W_L^{+}{W}_L^{-}$ and $a_H^{\pm ,0}\to W_L^{\pm }H$, $Z_{L}H$. Observing these resonant, highly-boosted weak-scale bosons would establish their composite nature.