Abstract
We study, from theoretical and phenomenological angles, the Higgs boson oblique parameter Ĥ, as the hallmark of off-shell Higgs physics. Ĥ is defined as the Wilson coefficient of the sole dimension-6 operator that modifies the Higgs boson propagator, within a Universal EFT. Theoretically, we describe self-consistency conditions on Wilson coefficients, derived from the Källén-Lehmann representation. Phenomenologically, we demonstrate that the process gg → h∗ → V V is insensitive to propagator corrections from Ĥ, and instead advertise four-top production as an effective high-energy probe of off-shell Higgs behaviour, crucial to break flat directions in the EFT.
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Englert, C., Giudice, G.F., Greljo, A. et al. The Ĥ-parameter: an oblique Higgs view. J. High Energ. Phys. 2019, 41 (2019). https://doi.org/10.1007/JHEP09(2019)041
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DOI: https://doi.org/10.1007/JHEP09(2019)041