Conformal Barrier for New Vector Bosons Decay to the Higgs

TL;DR

This paper proposes that conformal symmetry prevents new vector bosons from decaying into the Higgs, offering a novel perspective on recent diboson excesses and the nature of the Higgs as a dilaton.

Contribution

It introduces a conformal barrier mechanism that forbids vector boson decays to the Higgs, contrasting with the traditional equivalence theorem, and discusses implications for LHC observations.

Findings

Conformal symmetry can prohibit vector boson decays to the Higgs.

Absence of $V\to WH/ZH$ decays supports Higgs as a dilaton.

Provides a new theoretical framework for interpreting diboson excesses.

Abstract

The ATLAS collaboration has recently reported excesses about 2.5 sigma at mass around 2 TeV in the diboson channels, which can be identified with new vector bosons as a hint for the new physics. It is shown that spontaneously broken conformal/scale symmetry prohibits new vector bosons decay to the Higgs, which is contrasted to the popular "equivalence theorem" valid only in a special limit not necessarily relevant to the 2 TeV mass. If the decay $V\to WH/ZH$ is not observed in the ongoing Run II of the LHC, then the 125 GeV Higgs can be a dilaton.