Universal Imprints of a Pseudo-Nambu-Goldstone Higgs Boson

TL;DR

This paper demonstrates that the nonlinear interactions of a pseudo-Nambu-Goldstone Higgs boson are universal in the infrared, leading to specific testable relations in Higgs and gauge boson couplings regardless of the symmetry breaking pattern.

Contribution

It introduces universal relations in Higgs and gauge boson couplings as predictions of the pNGB Higgs framework, independent of the symmetry breaking pattern G/H.

Findings

Universal nonlinear Higgs interactions are independent of G/H.

Predicted universal relations in Higgs and gauge couplings.

Experimental tests can confirm the pNGB nature of the Higgs.

Abstract

A large class of models addressing the electroweak naturalness problem postulates the existence of new spontaneously broken global symmetries above the weak scale. The Higgs boson arises as a pseudo-Nambu-Goldstone boson (pNGB) whose interactions are nonlinear due to the presence of de- generate vacua. We argue that, once the normalization of the pNGB decay constant f is determined, the Higgs nonlinear interactions in the gauge sector are universal in the infrared and independent of the symmetry breaking pattern G/H, even after integrating out heavy composite resonances. We propose a set of "universal relations" in Higgs couplings with electroweak gauge bosons and in triple gauge boson couplings, which are unique predictions of the universal nonlinearity. Experimental measurements of these relations would serve as the litmus test of a pNGB Higgs boson.