Abstract
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 /m ρ ). We apply our formula in several toy examples, modeling the UV spectral density via Vector Meson Dominance.
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ArXiv ePrint: 1211.5543
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Orgogozo, A., Rychkov, S. The S parameter for a light composite Higgs: a dispersion relation approach. J. High Energ. Phys. 2013, 14 (2013). https://doi.org/10.1007/JHEP06(2013)014
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DOI: https://doi.org/10.1007/JHEP06(2013)014