Precision calculation of inflation correlators at one loop

Lian-Tao Wang, Zhong-Zhi Xianyu, Yi-Ming Zhong*

*Corresponding author for this work

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

44 Citations (Scopus)
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Abstract

We initiate a systematic study of precision calculation of the inflation correlators at the 1-loop level, starting in this paper with bosonic 1-loop bispectrum with chemical-potential enhancement. Such 1-loop processes could lead to important cosmological collider observables but are notoriously difficult to compute due to the lack of symmetries. We attack the problem from a direct numerical approach based on the real-time Schwinger-Keldysh formalism and show full numerical results for arbitrary kinematics containing both the oscillatory “signals” and the “backgrounds”. Our results show that, while the non-oscillatory part can be one to two orders of magnitude larger, the oscillatory signal can be separated out by applying appropriate high-pass filters. We have also compared the result with analytic estimates typically adopted in the literature. While the amplitude is comparable, there is a non-negligible deviation in the frequency of the oscillatory part away from the extreme squeezed limit. © 2022, The Author(s).
Original languageEnglish
Article number85
JournalJournal of High Energy Physics
Volume2022
Issue number2
Online published11 Feb 2022
DOIs
Publication statusPublished - Feb 2022
Externally publishedYes

Funding

This work was completed with resources provided by the University of Chicago’s Research Computing Center. We also thank Haipeng An, Lincoln Bryant, Rob Gardner, Pascal Paschos, and Daneng Yang for providing computational resources and technical supports at the early stage of this work. LTW and YZ acknowledge the Aspen Center for Physics for hospitality during the final phase of this study, which was supported by National Science Foundation grant PHY-1607611 and partially supported by a grant from the Simons Foundation. LTW is supported by the DOE grant DE-SC0009924. ZZX is supported by Tsinghua University Initiative Scientific Research Program. YZ is supported by the Kavli Institute for Cosmological Physics at the University of Chicago through an endowment from the Kavli Foundation and its founder Fred Kavli.

Research Keywords

  • Beyond Standard Model
  • Cosmology of Theories beyond the SM

Publisher's Copyright Statement

  • This full text is made available under CC-BY 4.0. https://creativecommons.org/licenses/by/4.0/

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