Limits on a heavy Higgs sector

TL;DR

This paper combines unitarity and electroweak precision data to constrain the heavy Higgs sector, showing that strongly interacting heavy Higgs parts are small and beyond LHC detection.

Contribution

It provides new limits on heavy Higgs sectors considering recent LHC results and theoretical unitarity constraints.

Findings

Heavy Higgs parts are small and strongly interacting.

Such parts are beyond the reach of the LHC.

Constraints are consistent with recent Higgs search data.

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 heavy and strongly interacting, this part is small and is out of range of the LHC. The limits take into account the recent Higgs search results at the LHC.