Abstract

We introduce a new approach to the Higgs naturalness problem. The Higgs mixes with the dilaton of a conformal field theory (CFT) sector whose true ground state has a large negative vacuum energy. If the Higgs vacuum expectation value is nonzero and below O(TeV), the CFT admits a second metastable vacuum, where the expansion history of the Universe is conventional. As a result, only Hubble patches with unnaturally small values of the Higgs mass do not immediately crunch. The main experimental prediction of this mechanism is a dilaton in the 0.1-10GeV range that mixes with the Higgs and can be detected at future colliders and experiments searching for weakly coupled particles.

Highlights

  • Introduction.—While the discovery of the Higgs boson at the Large Hadron Collider [1,2] marked a triumph for the standard model of particle physics, the measured values of its mass and vacuum expectation value (VEV) remain unexplained

  • The most extreme break with standard beyond the standard model (BSM) lore is to rely on a fully anthropic reasoning for the existence of a light Higgs in the context of a multiverse with several patches, each corresponding to a different Higgs VEV

  • We introduce dynamics that can support the expansion of the Universe only when the Higgs VEV, h ≡ hH0i, is in a finite range

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Summary

Introduction

Introduction.—While the discovery of the Higgs boson at the Large Hadron Collider [1,2] marked a triumph for the standard model of particle physics, the measured values of its mass and vacuum expectation value (VEV) remain unexplained. The Higgs mixes with the dilaton of a conformal field theory (CFT) sector whose true ground state has a large negative vacuum energy.

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