Weak hypercharge

The weak hypercharge in particle physics is a quantum number relating the electrical charge and the third component of weak isospin, and is similar to the Gell-Mann–Nishijima formula of strong interactions. 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 "Y_W", is defined as:

:$qquad\; Q\; =\; T\_z\; +\; \{Y\_W\; over\; 2\}$where "Q" is the electrical charge (in elementary charge units) and "T_z" is the third component of weak isospin. Rearranging, the weak hypercharge can be expressed as::$qquad\; Y\_W\; =\; 2(Q\; -\; T\_z)$

ee also

*Field theoretical formulation of the standard model
*Weak isospin