Petite unification: an alternative viewpoint

Conference · Fri May 01 04:00:00 EDT 1981

OSTI ID:6187844

Hung, P Q

It is assumed that at some distance scale, not too many orders of magnitude less than the compton wavelength of intermediate bosons W/sup + -/ and Z/sup 0/, the SU(3)/sub c/ x SU(2)/sub L/ x U(1)/sub Y/ gauge theory, characterized by three coupling constants, becomes embedded in a gauge theory G/sub S/ x G/sub W/ characterized by only two coupling constants, g/sub S/ and g/sub W/. The strong group G/sub S/ and weak group G/sub W/ are assumed each to be either simple or pseudo-simple i.e. a direct product of simple groups with identical coupling strengths. Such a possibility is caled petite unification. Any subsequent unification of the strong force with the weak at still shorter distances is left unconsidered. A building-up procedure is adopted, that is to say the available inputs from the low-energy theory SU(3)/sub c/ x SU(2)/sub L/ x U(1)/sub Y/ are used to restrict the choices of G/sub S/ and G/sub W/. The inputs used are the experimental value of sin/sup 2/theta/sub W/ and the known fermion representations. The choices of G/sub W/ are found to be quite restricted. The smallest acceptable G/sub W/ turns out to be (SU(2))/sup 4/, and the most efficient choice of a strong group is SU(4) built a la Pati and Salam, which is the simplest case for which the electroweak U(1)/sub Y/ generator is a linear combination of both G/sub S/ and G/sub W/ generators. Furthermore, leptons provide the fourth color degree of freedom achieving thus an early quark-lepton unification. The phenomenology of the minimal petite unification model SU(4) x (SU(2))/sup 4/ is examined in detail.

• Research Organization: Lawrence Berkeley Lab., CA (USA)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6187844
• Report Number(s): LBL-12826; CONF-810485-2; ON: DE81025680
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
COUPLING CONSTANTS
DISTANCE
INTERACTION RANGE
INTERACTIONS
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
STRONG INTERACTIONS
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SU-4 GROUPS
SYMMETRY GROUPS
UNIFIED GAUGE MODELS
WEAK INTERACTIONS