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An analytic treatment of quartic hilltop inflation

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Published
Article number135688
<mark>Journal publication date</mark>10/10/2020
<mark>Journal</mark>Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume809
Number of pages4
Publication StatusPublished
Early online date11/08/20
<mark>Original language</mark>English

Abstract

Quartic hilltop inflation remains one of the most successful inflationary models. Yet, the expectations of early treatments of hilltop inflation would contradict the observations and render the model excluded. However, recent numerical treatment has demonstrated that quartic hilltop inflation actually fares well with observations. In this work, a fully analytic treatment of the model aims to dispel the mystery surrounding the behaviour of quartic hilltop inflation. The results obtained are in excellent agreement with numerical works on the subject, yet offer simple analytic formulas to calculate observables and easily test thereby quartic hilltop inflation, hopefully revealing information on the theoretical background. © 2020 The Author

Bibliographic note

TFC, ST/L000520/1 Funding text 1: I would like to thank David Sloan for discussions. KD was supported (in part) by the Lancaster-Manchester-Sheffield Consortium for Fundamental Physics under STFC grant: ST/L000520/1 . References: Boubekeur, L., Lyth, D.H., (2005) J. Cosmol. Astropart. Phys., 7; Linde, A.D., (1982) Phys. Lett. B, 116, pp. 335-339; Lyth, D.H., Riotto, A., (1999) Phys. Rep., 314, pp. 1-146; Akrami, Y., ; Martin, J., Ringeval, C., Vennin, V., (2014) Phys. Dark Universe, 5-6, pp. 75-235; Kallosh, R., Linde, A., (2019) J. Cosmol. Astropart. Phys., 9; Lin, C.M., (2020) J. Cosmol. Astropart. Phys., 6