A Supersymmetric Flavor Clockwork

TL;DR

This paper develops supersymmetric flavor clockwork models that generate hierarchical fermion masses and predict specific sfermion flavor structures, with implications for collider and flavor physics constraints.

Contribution

It introduces supersymmetric versions of flavor clockwork models, linking fermion hierarchies to sfermion mass structures within the MSSM framework.

Findings

Predicts hierarchical fermion spectrum consistent with observations.

Identifies specific flavor mixing patterns among squarks.

Sets lower bounds on squark or gluino masses from Kaon oscillation constraints.

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.