Embedding phenomenological quark-lepton mass matrices into SU(5) gauge models

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 59, Issue 11, 1999, Pages

  Yanagida, T ^c  

^a UNIVERSITY OF TOKYO   (Japan)

^b EHIME UNIVERSITY   (Japan)

^c UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85037914579     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.59.113016     Document Type: Article

References (34)

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29. Let us assume that heavy (Formula presented) transform as (Formula presented) under (Formula presented) Then the Yukawa coupling (Formula presented) may be taken as (Formula presented) We may also assume that the Majorana mass matrix (Formula presented) takes an (Formula presented)-invariant form (Formula presented) Integration of (Formula presented) then gives (Formula presented) If (Formula presented) is given by (Formula presented) we have (Formula presented) for the SUSY unification scale (Formula presented); in this case we expect (Formula presented).
30. Our matrix elements are assumed to be all real for simplicity of the model. It is possible to introduce phases. In fact, there is a well-known mismatch between down quark masses and the Cabibbo angle with natural relation (14): if experimental values are put into the right-hand side of Eq. (14), (Formula presented) somewhat deviates from experiment, and this problem is usually cured by introducing phases (see Fritzsch 5). Our model also inherits this problem. If we introduce phases for all matrix elements, we can give the right value for (Formula presented) and also fit (Formula presented) (Formula presented) changes very little and (Formula presented) can be larger than our prediction (discussed below) by up to 50% (hence the real phase is favored for (Formula presented). In this paper we do not dare to pursue precise agreement with experiment, keeping the simplicity of the model, since the introduction of phases modifies the model only at a quantitative level.
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