Axel Orgogozo, Slava Rychkov
We derive a dispersion relation for the S parameter in the SO(5)/SO(4) Minimal Composite Higgs model. This generalizes the Peskin-Takeuchi formula to the case when a light Higgs boson is present in the spectrum. Our result combines an IR effect due to the reduction in the Higgs boson couplings with a UV contribution from the strong sector. It also includes a finite matching term, achieving a very good relative accuracy $O(m_h^2/m_\rho^2)$. We apply our formula in several toy examples, modeling the UV spectral density via Vector Model Dominance.
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http://arxiv.org/abs/1211.5543
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