Endowing the Standard Model with new r-symmetry

TL;DR

This paper introduces a new r-symmetry in an extended Standard Model, simplifying Yukawa interactions by transferring complexity to multiple Higgs fields, and predicts near-degenerate masses around 126 GeV with a hierarchy of heavier particles.

Contribution

It proposes a novel r-symmetry in an extended gauge model, simplifying Yukawa couplings and explaining mass hierarchies with multiple Higgs fields.

Findings

Near degeneracy of masses around 126 GeV.

Hierarchy of heavier masses consistent with quark and lepton textures.

Introduction of a new r-symmetry in the extended Standard Model.

Abstract

In the Standard Model, there is the single Higgs field, $\phi$, which gives rise to constituent quark and lepton masses. The Yukawa coupling is a highly complex set of $3 \times 3$ matrices, resulting in many textures of quark and lepton masses. In this talk, we propose to transfer the complexity of the Yukawa coupling matrices to a family of Higgs fields, so that the Yukawa coupling itself becomes a simple interaction. In the context of an Enriched Standard Model, we introduce a new $r$-symmetry in the extended $SU(2)_L \times U(1)_Y \times U(1)_R$ model and show how a particularly simple scenario results in a near degeneracy of masses in the $126-GeV$ region, with a hierarchy of heavier masses suggested by the quark and lepton texture mass matrices.