Electroweak Symmetry Breaking

With this definition, we rewrite
and
L 3 = −( ¯Q L ΣM Q Q R + ¯L L ΣM L L R + h.c.)
− ¯L c 1 + τ 3
L Σ∗ M NL ΣL L −
2
¯L c R M 1 + τ 3
N R
L R ,
2
L 2(W ) = v 2
4 tr [
(D µ Σ)(D µ Σ) †] − β ′ v 2
where some abbreviations are useful:
V µ = Σ(D µ Σ) † and T = Στ 3 Σ † ,
8 tr [TV µ] tr [TV µ ]