Abstract
Clockwork models can explain the flavor hierarchies in the Standard Model quark and lepton spectrum. We construct supersymmetric versions of such flavor clockwork models. The zero modes of the clockwork are identified with the fermions and sfermions of the Minimal Supersymmetric Standard Model. In addition to generating a hierarchical fermion spectrum, the clockwork also predicts a specific flavor structure for the soft SUSY breaking sfermion masses. We find sizeable flavor mixing among first and second generation squarks. Constraints from Kaon oscillations require the masses of either squarks or gluinos to be above a scale of $\sim 3$ PeV.
Highlights
Among the many motivations for physics beyond the Standard Model (SM), there is the hierarchical structure of the quark and lepton spectrum that remains unexplained in the SM
We constructed a supersymmetric version of a flavor model based on the clockwork mechanism
For each SM fermion, a gear system is introduced that leads to an exponential suppression of its Yukawa couplings with the exponent determined by the number of gear fermions
Summary
Among the many motivations for physics beyond the Standard Model (SM), there is the hierarchical structure of the quark and lepton spectrum that remains unexplained in the SM. In the context of a flavor clockwork setup, SUSY removes the sensitivity of the electroweak scale to the clockwork scale, stabilizing the Higgs mass against loop corrections from the massive clockwork gears. In a SUSY version of the flavor clockwork, the fermionic gears of the clockwork are promoted to chiral superfields and the clockwork is implemented at the level of the superpotential Such a setup results in hierarchical Yukawa couplings for the zero modes that are identified with the fermions and sfermions of the minimal supersymmetric standard model (MSSM). Once soft SUSY breaking is included, the clockwork mechanism will generate a hierarchical spectrum of quarks and leptons, but will leave characteristic imprints on the spectrum of the squarks and sleptons.
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