Limits on a strongly interacting Higgs sector

TL;DR

This paper combines unitarity and electroweak data to constrain the size of a strongly interacting Higgs sector, suggesting it must be small and beyond LHC detection capabilities.

Contribution

It provides a novel analysis linking unitarity and precision data to limit the strongly interacting Higgs sector's size.

Findings

Strongly interacting Higgs sector must be small.

Such a sector is beyond LHC reach.

Unitarity constraints limit Higgs interactions.

Abstract

Using the classical argument about tree level unitarity breakdown in combination with the precision electroweak data, it is shown, that if part of the Higgs sector is strongly interacting, this part is small and is out of range of the LHC.