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Why Higgs - Www Atlas Lbl

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More complicated<br />

boundary conditions<br />

can reduce the rank by imposing, e.g.,<br />

W μ 3 (0)+B μ<br />

(0)=0<br />

y=0 y=!R<br />

with gauge kinetic terms g -2 , such boundary<br />

conditions actually depend on gauge couplings<br />

semi-realistic example SU(2) ×SU(2) ×U(1) L R X<br />

at y=0, break SU(2) ×U(1) →U(1) R X Y<br />

M W k = 2k − 1<br />

4R<br />

at y=πR, break SU(2) L<br />

×SU(2) R<br />

→SU(2) D<br />

M Z k = M 0 + k − 1<br />

R<br />

! =<br />

M Z′<br />

k<br />

= −M 0 + k R<br />

M 2 W<br />

M 2 Z cos2 " W<br />

∼ 1.10<br />

23<br />

√<br />

M 0 = 1<br />

!R arctan 1 + 2g′2<br />

g 2 ∼ 0.29<br />

R

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