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It has been pointed out that a large non-minimal coupling $\xi$ between the Higgs and the Ricci scalar can source higher derivative operators, which may change the predictions of Higgs inflation.
A. D. Linde, “Initial Conditions For Inflation,” Phys. Lett. B 162
1985
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C. P. Burgess, H. M. Lee and M. Trott, “Comment on Higgs Inflation and Naturalness,” JHEP 1007
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A. Salvio, “Higgs Inflation at NNLO after the Boson Discovery,” Phys. Lett. B 727
2013
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2013
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2014
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2014
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F. Bezrukov and M. Shaposhnikov, “Higgs inflation at the critical point,” Phys. Lett. B 734
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2015
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2016
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2014
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K. Allison, “Higgs xi-inflation for the 125-126 GeV Higgs: a two-loop analysis,” JHEP 1402
2014
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2015
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2015
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2015
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A. Salvio, “The Electroweak Vacuum Decay and the Gravitational Contribution,” arXiv:1711.06594
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2017
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2017
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2017
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W. H. Kinney, “Horizon crossing and inflation with large eta,” Phys. Rev. D 72
2017
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