paper

The Composite Higgs Signal at the Next Big Collider

arXiv:2203.03710

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 $< 500 GeV$ 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 $I^_{H} > 1 TeV$ . The lone harbingers of $H$ compositeness, ones that may be accessible at the next multi-TeV collider, are isovector vector $I ¨ _{H}$ and axial vector $a_{H}$ bound states whose masses are $O (I^_{H})$ . They decay into the only fermion-antifermion composites lighter than they are, the Higgs boson and longitudinally-polarized weak bosons: $I ¨ _{H}^{\pm, 0} \to W_{L}^{\pm} Z_{L}$ , $W_{L}^{+} W_{L}^{-}$ 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.

Contribution to Snowmass 2021; 11 pages, 1 figure