Electroweak Symmetry Breaking
Electroweak Symmetry Breaking
Electroweak Symmetry Breaking
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Standard Model Power Counting<br />
Since we no longer have an infinite series in the expansion of Σ, we<br />
may rather extract the factor 1/v and assign φ the mass dimension<br />
1 (instead of zero). This turns all marginal operators with Σ<br />
factors into irrelevant operators.<br />
⇒ Anomalous couplings get a natural prefactor (m H /Λ) n , if the<br />
Lagrangian term contains n factors of Σ.<br />
⇒ The custodial-symmetry violating terms get extra factors of<br />
(m H /Λ) due to the Σ factors in the T definition<br />
⇒ Either m H is small, or Λ is large, or both. Incidentally, with<br />
zero anomalous couplings the model (the Standard Model) is<br />
renormalizable, so the anomalous couplings are not needed as<br />
counterterms.