Mass Hierarchy, Mixing, CP-Violation and Higgs Decay---or Why Rotation is Good for Us

TL;DR

The paper reviews the rank-one rotating mass matrix (R2M2) model, explaining fermion mass hierarchy, mixing patterns, CP-violation, and predicting potential Higgs decay anomalies, linking several fundamental physics issues.

Contribution

It introduces and analyzes the R2M2 model, connecting fermion masses, mixing, CP-violation, and Higgs decay anomalies in a unified framework.

Findings

R2M2 explains fermion mass hierarchy and mixing patterns.

Links the strong CP problem to CKM CP-violation phase.

Predicts possible Higgs decay anomalies at the LHC.

Abstract

The idea of a rank-one rotating mass matrix (R2M2) is reviewed detailing how it leads to ready explanations both for the fermion mass hierarchy and for the distinctive mixing patterns between up and down fermion states, which can be and have been tested against experiment and shown to be fully consistent with existing data. Further, R2M2 is seen to offer, as by-products: (i) a new solution of the strong CP problem in QCD by linking the theta-angle there to the Kobayashi-Maskawa CP-violating phase in the CKM matrix, and (ii) some novel predictions of possible anomalies in Higgs decay observable in principle at the LHC. A special effort is made to answer some questions raised.