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German Particle Physics School Maria Laach - Herbstschule Maria ...

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Rho parameter<br />

ρ ≡<br />

Custodial Symmetry<br />

M 2 W<br />

M 2 Z cos2 θw<br />

=<br />

1<br />

4g2 v2 1<br />

4 (g2 + g ′2 )v2 g 2<br />

g 2 +g ′2<br />

Consequence of an approximate global symmetry of the Higgs sector<br />

<br />

+ h<br />

H =<br />

Higgs doublet = 4 real scalar fields<br />

h0 <br />

<br />

V (H) =λ H † H − v2<br />

2<br />

2<br />

SU(2)L<br />

SU(2)R<br />

is invariant under the rotation of the four real components<br />

DRAFT<br />

iσ 2 H ⋆ H = Φ<br />

SO(4) ∼ SU(2)L × SU(2)R<br />

V (H) = λ<br />

2x2 matrix explicitly invariant under<br />

Christophe Grojean Beyond the Standard Model 19<br />

<strong>Maria</strong> <strong>Laach</strong>, Sept. '10<br />

=1<br />

Φ † Φ = H † H<br />

4<br />

1<br />

trΦ † Φ − v 2 2<br />

1<br />

<br />

SU(2)L ! SU(2)R

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