Abstract

We propose a new framework for the observed flavor hierarchy and mixing based on left-right supersymmetry. The model contains the most minimal Higgs sector consisting only of gauge doublets which forbid the standard model Yukawa couplings. New mediator fields then connect the left- and right-chiral fermion sectors and result in effective tree level Yukawa couplings for the third generation charged fermions. The remaining fermions, including all neutrinos, acquire effective Yukawa couplings sourced by the supersymmetry breaking sector at loop level. We predict new TeV range scalars, as well as heavier fermions and vector bosons, that can be discovered at the LHC and future colliders.

Highlights

  • Despite the phenomenological success of the standard model (SM), the mass and mixing hierarchies in the quark and lepton sectors lack a proper understanding

  • We propose a new framework for the observed flavor hierarchy and mixing based on left-right supersymmetry

  • In the previous section we have shown that the mediated left-right supersymmetric model (MLRSM) effectively prevents two of the three SM quark—and charged lepton—generations from interacting with the Higgs bosons at the tree level

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Summary

INTRODUCTION

Despite the phenomenological success of the standard model (SM), the mass and mixing hierarchies in the quark and lepton sectors lack a proper understanding. An open question in this line of model building concerns the gauge structure of the Higgs sector, which usually relies on the bidoublet representation [4,5,6,7,8,18,19,20] rather than on doublet [21,22] scalar representations The former choice dominates the literature, the latter possibility has gained renewed interest [17] within frameworks for the radiative generation of the fermion mass hierarchy, as it automatically forbids the presence of all tree-level SM Yukawa couplings.

THE MLRSM
Avoiding proton decay
Gauge sector
THE THIRD-GENERATION MASSES
THE FIRST TWO GENERATIONS
The role of mediators
The role of trilinear terms
Mixed case
The quark mass hierarchy
The flavor mixing pattern and breaking of flavor symmetry
The CKM phase and induced electric dipole moments
NUMERICAL ANALYSIS
Methodology of the scan
Avoiding instabilities and colour breaking
Results
A remark on the leptonic sector
CONCLUSIONS AND OUTLOOK
Zero momentum four-point loop function

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