Peccei-Quinn symmetry as flavor symmetry and grand unification

Journal Article · Sun Apr 01 04:00:00 EST 1984 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.29.1504· OSTI ID:7186240

Davidson, A; Nair, V P; Wali, K C

We consider the possibility of identifying the Peccei-Quinn (PQ) symmetry as also the flavor symmetry in multigenerational grand unification schemes. The essential ingredient, a global, axial U(1) symmetry in the PQ mechanism to avoid the strong CP-violation problem provides useful constraints on the fermion--Higgs-boson couplings in the theory, thereby leading to identical ''canonical'' forms for fermion mass matrices in both the charged sectors. These forms are the conjectured Fritzsch-type matrices exhibiting the ''nearest-neighbor'' interactions in generation space. From among the popular schemes for grand unification, SO(10) emerges as one which has several advantages over the others for constructing multigenerational grand unification models. Reasonable assumptions regarding the quark masses lead to unique PQ quantum-number assignments for the fermionic generations. These quantum numbers combined with the hierarchy in quark masses lead to a picture in which the lighter generations are composite in nature. One can then show qualitatively that the hierarchy is such that logm varies linearly with respect to the generation index.

• Research Organization: Department of Nuclear Physics, The Weizmann Institute of Science, Rehovot, Israel
• OSTI ID: 7186240
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 29:7; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645301* -- High Energy Physics-- Particle Invariance Principles & Symmetries-- General-- (-1987)
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
COMPOSITE MODELS
CP INVARIANCE
ELEMENTARY PARTICLES
FERMIONS
FLAVOR MODEL
HIGGS BOSONS
INTERMEDIATE BOSONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM NUMBERS
QUARK MODEL
QUARKS
SO GROUPS
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
UNIFIED GAUGE MODELS