Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-03-02
Phys.Rev.D79:081302,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
9 pages. Replaced with published version, plus a footnote clarifying the use of power counting estimates
Scientific paper
10.1103/PhysRevD.79.081302
We critically examine the recent claim that the Standard Model Higgs boson ${\cal H}$ could drive inflation in agreement with observations if $|{\cal H}|^2$ has a strong coupling $\xi\sim 10^4$ to the Ricci curvature scalar. We first show that the effective theory approach upon which that claim is based ceases to be valid beyond a cutoff scale $\Lambda=m_p/\xi$, where $m_p$ is the reduced Planck mass. We then argue that knowing the Higgs potential profile for the field values relevant for inflation ($|{\cal H}|>m_p/\sqrt{\xi}\gg \Lambda$) requires knowledge of the ultraviolet completion of the SM beyond $\Lambda$. In absence of such microscopic theory, the extrapolation of the pure SM potential beyond $\Lambda$ is unwarranted and the scenario is akin to other ad-hoc inflaton potentials afflicted with significant fine-tuning. The appealing naturalness of this minimal proposal is therefore lost.
Barbon Jose L. F.
Espinosa Jose Ramon
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