Horizontal-quantum-flavor-dynamics approach to the fermion mass spectrum

Aharon Davidson, Kameshwar C. Wali

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25 Scopus citations

Abstract

We show that the important features associated with the fermion mass spectrum can be explained within the framework of an [SU(2)× U(1)]WS × U'(1) gauge theory subject to a generalized generation structure, without assuming any hierarchy among the various Yukawa coupling constants. At the two-generation level, we show that (i) the only allowed nondiagonal mass matrix is of the canonical type which characterizes certain discrete-symmetry models, and (ii) (mumc)f (mdms)2. However, we argue that the approximate equality (within a factor of 1.5-2) in masses of the two lightest quarks cannot be explained without invoking at least one additional generation of particles. Moreover, the naturalness of muf md completely determines the structure of the two charged-quark mass matrices in the six-flavor scheme. It follows then that mc ms(mcmu,d)12, and the mass scale of the third-generation quarks is fixed by the masses of the two lighter generations to be of order mc2ms. A new relation for the Cabibbo angle, namely , Cf (mdmseff)12 with mseff=mc3mb2, emerges. We also calculate the main CP-violating parameter associated with the K0-K»0 system to be μKf (msmc)310-3 as observed. Finally we discuss the effects of the horizontal gauge symmetry on the leptonic sector and establish the possibility of having a full quarklepton correspondence without conflicting with any known experimental considerations.

Original languageEnglish
Pages (from-to)787-801
Number of pages15
JournalPhysical Review D
Volume21
Issue number3
DOIs
StatePublished - 1 Jan 1980
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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