Invisible Higgs boson, continuous mass fields and unHiggs mechanism

TL;DR

This paper investigates a scale-invariant electroweak symmetry breaking sector, modeling the Higgs as a continuous mass distribution (unHiggs), which could result in an effectively invisible Higgs at colliders due to its broad spectral function.

Contribution

It introduces the unHiggs concept using a spectral function approach, demonstrating how it can generate particle masses and lead to an invisible Higgs signature.

Findings

UnHiggs can produce gauge boson and fermion masses.

Broad spectral functions can obscure Higgs detection at colliders.

Approximate fixed point behavior extends over a range of energies.

Abstract

We explore the consequences of an electroweak symmetry breaking sector which exhibits approximately scale invariant dynamics -- i.e., nontrivial fixed point behavior, as in unparticle models. One can think of an unHiggs as a composite Higgs boson with a continuous mass distribution. We find it convenient to represent the unHiggs in terms of a Kallen-Lehmann spectral function, from which it is simple to verify the generation of gauge boson and fermion masses, and unitarization of WW scattering. We show that a spectral function with broad support, which corresponds to approximate fixed point behavior over an extended range of energy, can lead to an effectively invisible Higgs particle, whose decays at LEP or LHC could be obscured by background.