Realizing the relaxion from multiple axions and its UV completion with high scale supersymmetry

Kiwoon Choi; Sang Hui Im

doi:10.1007/JHEP01(2016)149

paper

Realizing the relaxion from multiple axions and its UV completion with high scale supersymmetry

arXiv:1511.00132 · doi:10.1007/JHEP01(2016)149

Abstract

We discuss a scheme to implement the relaxion solution to the hierarchy problem with multiple axions, and present a UV-completed model realizing the scheme. All of the $N$ axions in our model are periodic with a similar decay constant $f$ well below the Planck scale. In the limit $N ≫ 1$ , the relaxion $ϕ$ corresponds to an exponentially long multi-helical flat direction which is shaped by a series of mass mixing between nearby axions in the compact field space of $N$ axions. With the length of flat direction given by $Δ ϕ = 2 π f_{eff} \sim e^{ξ N} f$ for $ξ = O (1)$ , both the scalar potential driving the evolution of $ϕ$ during the inflationary epoch and the $ϕ$ -dependent Higgs boson mass vary with an exponentially large periodicity of $O (f_{eff})$ , while the back reaction potential stabilizing the relaxion has a periodicity of $O (f)$ . A natural UV completion of our scheme can be found in high scale or (mini) split supersymmetry (SUSY) scenario with the axion scales generated by SUSY breaking as $f \sim m_{SUSY} M_{*}$ , where the soft SUSY breaking scalar mass $m_{SUSY}$ can be well above the weak scale, and the fundamental scale $M_{*}$ can be identified as the Planck scale or the GUT scale.

20 pages, 2 figures; v2: a reference and related comment added

Realizing the relaxion from multiple axions and its UV completion with high scale supersymmetry

Abstract

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