Abstract
AbstractWe present a supersymmetric version of a two-field relaxion model that naturalizes tuned versions of supersymmetry. This arises from a relaxion mechanism that does not depend on QCD dynamics and where the relaxion potential barrier height is controlled by a second axion-like field. During the cosmological evolution, the relaxion rolls with a nonzero value that breaks supersymmetry and scans the soft supersymmetric mass terms. Electroweak symmetry is broken after the soft masses become of order the supersymmetric Higgs mass term and causes the relaxion to stop rolling for superpartner masses up to ∼ 109 GeV. This can explain the tuning in supersymmetric models, including split-SUSY models, while preserving the QCD axion solution to the strong CP problem. Besides predicting two very weakly-coupled axion-like particles, the supersymmetric spectrum may contain an extra Goldstino, which could be a viable dark matter candidate.
Highlights
The hierarchy problem in a technically natural way
This allows the cutoff scale to be significantly increased beyond the TeV scale up to 109 GeV and since it does not rely on QCD dynamics, the axion solution to the strong CP problem is preserved
We have presented a supersymmetric relaxion mechanism that can provide a solution to the little hierarchy problem in supersymmetric models
Summary
We begin by constructing a supersymmetric extension of the two-field relaxion model given in ref. [6], which contains two real scalar fields, the relaxion, φ and the amplitudon, σ. We begin by constructing a supersymmetric extension of the two-field relaxion model given in ref. [6], which contains two real scalar fields, the relaxion, φ and the amplitudon, σ. The complete Lagrangian of our model is presented in appendix A. These two fields are embedded into two Standard Model (SM) singlet chiral superfields, S and T :. Where s, τ are real scalar fields, φ, σ are the fermionic partners and FS,T are the auxiliary fields. The relaxion field φ is identified with the imaginary scalar field component of S and the amplitudon, σ is identified with the imaginary scalar field component of T. The φ, σ, fields will play a similar role to those considered in ref. The φ, σ, fields will play a similar role to those considered in ref. [6]
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