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MASS HIERARCHY, MIXING, CP-VIOLATION AND HIGGS DECAY — OR WHY ROTATION IS GOOD FOR US

Mathematical Institute, University of Oxford, 24-29 St. Giles', Oxford, OX1 3LB, UK

Departament Fisica Teorica and IFIC, Centro Mixto CSIC, Universidad de Valencia, calle Dr. Moliner 50, E-46100 Burjassot (Valencia), Spain

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HONG-MO CHAN

Rutherford Appleton Laboratory, Chilton, Didcot, Oxon, OX11 0QX, UK

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, and

SHEUNG TSUN TSOU

Mathematical Institute, University of Oxford, 24-29 St. Giles', Oxford, OX1 3LB, UK

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https://doi.org/10.1142/S0217751X11053365Cited by:11 (Source: Crossref)

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 to 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.

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