4.4 Article

The S parameter for a light composite Higgs: a dispersion relation approach

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 6, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP06(2013)014

Keywords

Beyond Standard Model; Technicolor and Composite Models

Funding

  1. European Program Unification in the LHC Era [PITN-GA-2009-237920]
  2. Emergence-UPMC-2011 research program

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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(rho)). We apply our formula in several toy examples, modeling the UV spectral density via Vector Meson Dominance.

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