Naturalness of the relaxion mechanism

Andrew Fowlie, Csaba Balazs, Graham White, Luca Marzola*, Martti Raidal

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


The relaxion mechanism is a novel solution to the hierarchy problem. In this first statistical analysis of the relaxion mechanism, we quantify the relative plausibility of a QCD and a non-QCD relaxion model versus the Standard Model with Bayesian statistics, which includes an automatic penalty for fine-tuning. We find that in light of the hierarchy between the weak and Planck scales, relaxion models are favoured by colossal Bayes-factors. Constraints upon e.g., the vacuum energy during relaxation, however, shrink the Bayes-factors such that relaxion models are only slightly favoured. Including the bounds on |θQCD| shatters the plausibility of the QCD relaxion model as it typically yields |θQCD| ≫ 0. Finally, we augment our models with scalar-field inflation and consider measurements of inflationary observables from BICEP/Planck. We find that, all told, the Standard Model is favoured by huge Bayes-factors as the relaxion models require fine-tuning such that the Hubble parameter is less than the height of the periodic barriers. Thus, whilst we confirm that relaxion models could solve the hierarchy problem, we find that their unconventional cosmology is at odds with their plausibility.

Original languageEnglish
Article number100
JournalJournal of High Energy Physics
Issue number8
Publication statusPublished - 1 Aug 2016
Externally publishedYes


  • Beyond Standard Model
  • Higgs Physics


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