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arXiv · 1408.7079

Top-Goldstone coupling spoils renormalization of Higgs inflation

Damien P. George·Sander Mooij·Marieke Postma
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Abstract

We examine renormalization of Higgs inflation in the context of the full Standard Model. In the fermionic sector of the theory there is a parametrically large top-Goldstone coupling which prevents renormalization of the theory. Using a simplified model with a global U(1) symmetry, a Higgs and a fermion, we show that the one-loop contribution to 4-Goldstone scattering cannot be absorbed in any tree level terms, and hence forbids a consistent renormalization of the theory. Our results apply for large non-minimal Higgs-gravity coupling in the large field regime, and indicate that Higgs inflation is not a predictive theory.

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Damien P. George, Sander Mooij, Marieke Postma. 2014-10-17. Top-Goldstone coupling spoils renormalization of Higgs inflation. https://arxiv.org/abs/1408.7079

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