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Uniqueness of the standard model neutral current predictions
Authors:S K Soni
Institution:(1) Tata Institute of Fundamental Research, 400 005 Bombay
Abstract:In view of an excellent agreement between the recently determinedv μ-hadron couplings and predictions of the standard model, the basic question discussed is how far its neutral current predictions can be mimiced in going either from the isodoublet to an isotriplet (or an even higher isospin) left-handed representation or from SU L (2) × U(1) toG × U(1), whereG is a simple group of rank two. This question is addressed with reference to a sufficiently broad class of schemes. Their most distinctive properties are: in the higher isospin scheme, neutrino couplings are precisely in the form obtainable with standard l.h. representation; the higher g.g. scheme isL+R type in which, to each light fermion of evenRU parity, a superheavy fermion of the same charge and oddRU parity is associated, parity conservation forbidding their mixing. Reasons for excluding theL-type andG 2 higher g.g. schemes are given. Their neutral current predictions are compared with those of the standard model. A higher isospin representation can mimic the predictions of the standard model in inclusive and semi-inclusivev μ-hadron reactions but is conclusively discriminated from the isodoublet representation by elasticv μ (− p scattering. TheG × U(1) scheme can mimic standard model neutrino sector but is conclusively discriminated from minimal scheme by parity violating effects.
Keywords:Standard model  neutral current predictions  higher isospin representation  higher gauge group  parity-violating effects
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