The Ultimate Weak hypercharge - American History Information Guide and Reference

Weak hypercharge is twice the difference between the electrical charge and the weak isospin. It is the generator of the center of the electroweak gauge group.

In a relation that parallels the Gell-Mann/Nishima Law (see hypercharge) we have that

$Q = I^W_z + {1 \over 2} Y^W$

where Q is the electrical charge (in elementary charge units), $I^W_z$ is the third component of the weak isospin, and $Y W$ is the weak hypercharge. From here we can define the weak hypercharge in terms of particle electrical charge and weak isospin.

Given that weak isospin is 1/2 for all fermions, all weak isospin doublets will have an averge charge

$\bar Q = {Y^W \over 2}$

with

Y = −1 for leptons (+1 for antileptons)
Y = +1/3 for quarks (−1/3 for antiquarks)

Last updated: 10-17-2005 21:50:25

Your American History Reference Guide! - Weak hypercharge

Weak hypercharge

Your American History Reference Guide!
- Weak hypercharge