6533b82cfe1ef96bd128f56d

RESEARCH PRODUCT

Relations among neutral current couplings to test su(2) by u(1) gauge group structure

Jose BernabeuC. Jarlskog

subject

PhysicsNuclear and High Energy PhysicsParticle physicsNeutral currentGauge groupScatteringStructure (category theory)FísicaElectronParticle PhysicsU-1Special unitary group

description

We propose a test of the validity of SU(2) ⊗ U(1) as the gauge group of weak and electromagnetic interactions. We find that, among the seven empirical neutral current couplings, there are two restrictions which do not rely on a particular model. The relations are 2( G V + G A ) + ( α + β ) + 3( γ + δ ) = 0 and 2 k − ( α + β ) + 3( γ + δ ) = 0, where where α , β , γ , δ ( G V , G A ) are the couplings measured in neutrino-hadron (electron) scattering and κ is obtained from interference experiments. We also find several inequalities. Comparison with present data is given.

10.1016/0370-2693(77)90136-8http://dx.doi.org/10.1016/0370-2693(77)90136-8