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Spacetime curvature and the Higgs stability during inflation · Around

2014

Spacetime curvature and the Higgs stability during inflation

Herranen, Matti, Markkanen, Tommi, Nurmi, Sami et al.

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It has been claimed that the electroweak vacuum may be unstable during inflation due to large fluctuations of order $H$ in case of a high inflationary scale as suggested by BICEP2.

We compute the Standard Model Higgs effective potential including UV-induced curvature corrections at one-loop level.
We find that for a high inflationary scale a large curvature mass is generated due to RG running of non-minimal coupling $\xi$, which either stabilizes the potential against fluctuations for $\xi_{\rm EW} \gtrsim 6\cdot 10^{-2}$, or destabilizes it for $\xi_{\rm EW} \lesssim 2 \cdot 10^{-2}$ when the generated curvature mass is negative.
Only in the narrow intermediate region the effect of the curvature mass may be significantly smaller.

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M. Herranen, T. Markkanen, S. Nurmi and A. Rajantie, in preparation
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Then

G. Degrassi, S. Di Vita, J. Elias-Miro, J. R. Espinosa, G. F. Giudice, G. Isidori and A. Strumia, JHEP 1208
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A. Kobakhidze and A. Spencer-Smith, Phys. Lett. B 722, 130 (2013) [arXiv:1301.2846 [hep-ph]]; E. Gabrielli, M. Heikinheimo, K. Kannike, A. Racioppi, M. Raidal and C. Spethmann, Phys. Rev. D 89
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