Hypercolor, extended hypercolor, and the generation problem

Journal Article · Wed Sep 01 00:00:00 EDT 1982 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.26.1133· OSTI ID:6713658

Davidson, A; Mannheim, P D; Wali, K C

We analyze some of the detailed consequences of the recently proposed grand unified theory based on SO(10)/sub V/ x SO(10) /sub H/ subject to a discrete Vbold-arrow-left-rightH symmetry. The model attempts to unify flavor, color, and hypercolor, and provide a multigenerational grand unified theory. It predicts SU(4) as the unique unitary group for hypercolor. With the fundamental fermions belonging to the (16,10)direct-sum(10,16) irreducible representation of SO(10)/sub V/ x SO(10) /sub H/, there are exactly four generations of ordinary fermions (hypercolor singlets). The dynamical symmetry breaking which gives masses to the vector bosons of the standard electroweak theory is accomplished through the condensates of a single generation of hyperfermions belonging to the sextet of SU(4). We show that the Weinberg relations M/sub W/ = M/sub Z/costheta will be satisfied provided the hypercolor dynamics satisfies certain constraints. Present in the model are the much desired extended-hypercolor gauge bosons whose radiative transitions between the ordinary fermions and the hyperfermions give rise to both masses and mixing of the ordinary fermions; hence the generalized Cabibbo angles are in principle calculable. We also analyze the pseudo-Goldstone bosons and the rare decay modes of the K and D mesons. With the hyperfermions in the TeV range and the extended gauge bosons in the 1000-TeV range, we show that there is no conflict in the model with any known experimental bounds on such decays. We establish a hypercolor--Pati-Salam-color symmetry at medium energies.

• Research Organization: Department of Nuclear Physics, Weizmann Institute of Science, Rehovot, Israel
• OSTI ID: 6713658
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 26:5; 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
CABIBBO ANGLE
CHIRAL SYMMETRY
COLOR MODEL
COMPOSITE MODELS
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
QUARK MODEL
SO GROUPS
SU GROUPS
SU-4 GROUPS
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS
UNIFIED GAUGE MODELS