Abstract
We discuss the Higgs mass and cosmological constant hierarchy puzzles with emphasis on the interplay of Poincaré invariance, mass generation and renormalization group invariance. A plausible explanation involves an emergent Standard Model with the cosmological constant scale suppressed by power of the large scale of emergence. In this scenario the cosmological constant scale and neutrino masses should be of similar size.
Highlights
Particle Physics comes with two mysterious hierarchies of scales
The cosmological constant or vacuum energy density which drives the accelerating expansion of the Universe is characterized by a scale 0.002 eV [3], very much less than the Higgs mass, QCD and Planck scales
We argue that a plausible explanation involves an emergent Standard Model [4, 5] and the measured cosmological constant scale associated with higher dimensional terms in the action, suppressed by power of the large emergence scale
Summary
Particle Physics comes with two mysterious hierarchies of scales. The mass of the Higgs boson discovered at CERN is about 125 GeV [1, 2]. The cosmological constant or vacuum energy density which drives the accelerating expansion of the Universe is characterized by a scale 0.002 eV [3], very much less than the Higgs mass, QCD and Planck scales It is an open question whether these two puzzles might be connected. We argue that a plausible explanation involves an emergent Standard Model [4, 5] and the measured cosmological constant scale associated with higher dimensional terms in the action, suppressed by power of the large emergence scale. Contributions from potentials linked to the Higgs and QCD condensates are cancelled at mass dimension four in the action
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