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Observable consequences of SO(10) unified theories

Thesis/Dissertation ·
OSTI ID:6349200
A class of SO(10) grand unified theories with interesting consequences is investigated. Specific features of the model include 1) the neutrinos are massless; 2) there is a second neutral electroweak gauge boson (Z/sub 2/) which is accessible to the present generation of accelerators; and 3) for each generation there corresponds a neutral lepton with a Dirac mass allowed to be in the GeV range. An interesting result is that the parity-violating electron-nucleon and electron-muon neutral current couplings at low momentum transfer are identical to those in the standard model. The largest deviation comes from neutrino-hadron couplings from which a lower bound for the Z/sub 2/ mass is obtained: M/sub 2/ approx.> (2.1 - 2.5) M/sub 0/, where M/sub 0/ is the mass of the neutral weak gauge boson (Z/sub 0/) in the standard model. The mass of the lighter neutral boson (Z/sub 1/) lies within 1.5% of that of the standard Z/sub 0/:0.985 less than or equal to M/sub 1//M/sub 0/ less than or equal to 1. Effects of the Z/sub 2/ in neutral current interactions are examined, the decay widths and branching ratios of the Z's are calculated, and the prospects for producing them in high energy pp and anti-pp collisions are studied. The phenomenology of the massive neutral leptons is then discussed. The existence of massive neutral leptons introduces violations of weak universality from which lower bounds on their masses are obtained. The prospects for observing the massive neutral leptons in neutrino neutral current interactions, in W and Z decays, and in tau, c, and b decays are examined.
Research Organization:
Minnesota Univ., Minneapolis (USA)
OSTI ID:
6349200
Country of Publication:
United States
Language:
English

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