Abstract
We reexamine recent claims that Einstein-frame scattering in the Higgs inflation model is unitary above the cut-off energy Λ ≃ M p /ξ. We show explicitly how unitarity problems arise in both the Einstein and Jordan frames of the theory. In a covariant gauge they arise from non-minimal Higgs self-couplings, which cannot be removed by field redefinitions because the target space is not flat. In unitary gauge, where there is only a single scalar which can be redefined to achieve canonical kinetic terms, the unitarity problems arise through non-minimal Higgs-gauge couplings.
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Burgess, C.P., Lee, H.M. & Trott, M. On Higgs inflation and naturalness. J. High Energ. Phys. 2010, 7 (2010). https://doi.org/10.1007/JHEP07(2010)007
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DOI: https://doi.org/10.1007/JHEP07(2010)007