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The massive neutral (Z) boson:
The massless neutral boson:
The massive charged W bosons:
where θW is the Weinberg angle.A chiral theory
An independent decomposition of ψ is that into chirality components:
- "Left" chirality:
- "Right" chirality:
where is the fifth gamma matrix. This is very important in the Standard Model because left and right chirality components are treated differently by the gauge interactions.
In particular, under weak isospin SU(2) transformations the left-handed particles are weak-isospin doublets, whereas the right-handed are singlets – i.e. the weak isospin of ψR is zero. Put more simply, the weak interaction could rotate e.g. a left-handed electron into a left-handed neutrino (with emission of a W−), but could not do so with the same right-handed particles. As an aside, the right-handed neutrino originally did not exist in the standard model – but the discovery of neutrino oscillation implies that neutrinos must have mass, and since chirality can change during the propagation of a massive particle, right-handed neutrinos must exist in reality. This does not however change the (experimentally-proven) chiral nature of the weak interaction.
Furthermore, U(1) acts differently on and (because they have different weak hypercharges).
MORAL OF THE STORY : Stop reliance on last minute answers and start doing something productive from day 1 grazers...Answerd on May 2019 by