Weak Hypercharge - Definition

Definition

It is the generator of the U(1) component of the electroweak gauge group, SU(2)xU(1) and its associated quantum field B mixes with the W3 electroweak quantum field to produce the observed Z0 gauge boson and the photon of quantum electrodynamics.

Weak hypercharge, usually written as YW, is defined as:

where Q is the electrical charge (in elementary charge units) and T3 is the third component of weak isospin. Rearranging, the weak hypercharge can be expressed as:

Note: sometimes weak hypercharge is scaled so that

although this is a minority usage.

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