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Title: Anomalous dimensions and non-gaussianity

Abstract

Here, we analyze the signatures of inflationary models that are coupled to interacting field theories, a basic class of multifield models also motivated by their role in providing dynamically small scales. Near the squeezed limit of the bispectrum, we find a simple scaling behavior determined by operator dimensions, which are constrained by the appropriate unitarity bounds. Specifically, we analyze two simple and calculable classes of examples: conformal field theories (CFTs), and large-N CFTs deformed by relevant time-dependent double-trace operators. Together these two classes of examples exhibit a wide range of scalings and shapes of the bispectrum, including nearly equilateral, orthogonal and local non-Gaussianity in different regimes. Along the way, we compare and contrast the shape and amplitude with previous results on weakly coupled fields coupled to inflation. This signature provides a precision test for strongly coupled sectors coupled to inflation via irrelevant operators suppressed by a high mass scale up to ~ 10 3 times the inflationary Hubble scale.

Authors:
 [1];  [2];  [3];  [4];  [5]
  1. Stanford Univ., Stanford, CA (United States); Kavli Institute for Particle Astrophysics and Cosmology, Stanford, CA (United States)
  2. Stanford Univ., Stanford, CA (United States)
  3. Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States); Kavli Institute for Particle Astrophysics and Cosmology, Stanford, CA (United States); European Organization for Nuclear Research (CERN), Geneva (Switzerland)
  4. Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States); Kavli Institute for Particle Astrophysics and Cosmology, Stanford, CA (United States)
  5. Institute for Advanced Study, Princeton, NJ (United States)
Publication Date:
Research Org.:
Stanford Univ., CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1491071
Grant/Contract Number:  
SC0008078
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2013; Journal Issue: 10; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Cosmology of Theories beyond the SM; Conformal and W Symmetry

Citation Formats

Green, Daniel, Lewandowski, Matthew, Senatore, Leonardo, Silverstein, Eva, and Zaldarriaga, Matias. Anomalous dimensions and non-gaussianity. United States: N. p., 2013. Web. doi:10.1007/JHEP10(2013)171.
Green, Daniel, Lewandowski, Matthew, Senatore, Leonardo, Silverstein, Eva, & Zaldarriaga, Matias. Anomalous dimensions and non-gaussianity. United States. doi:10.1007/JHEP10(2013)171.
Green, Daniel, Lewandowski, Matthew, Senatore, Leonardo, Silverstein, Eva, and Zaldarriaga, Matias. Fri . "Anomalous dimensions and non-gaussianity". United States. doi:10.1007/JHEP10(2013)171. https://www.osti.gov/servlets/purl/1491071.
@article{osti_1491071,
title = {Anomalous dimensions and non-gaussianity},
author = {Green, Daniel and Lewandowski, Matthew and Senatore, Leonardo and Silverstein, Eva and Zaldarriaga, Matias},
abstractNote = {Here, we analyze the signatures of inflationary models that are coupled to interacting field theories, a basic class of multifield models also motivated by their role in providing dynamically small scales. Near the squeezed limit of the bispectrum, we find a simple scaling behavior determined by operator dimensions, which are constrained by the appropriate unitarity bounds. Specifically, we analyze two simple and calculable classes of examples: conformal field theories (CFTs), and large-N CFTs deformed by relevant time-dependent double-trace operators. Together these two classes of examples exhibit a wide range of scalings and shapes of the bispectrum, including nearly equilateral, orthogonal and local non-Gaussianity in different regimes. Along the way, we compare and contrast the shape and amplitude with previous results on weakly coupled fields coupled to inflation. This signature provides a precision test for strongly coupled sectors coupled to inflation via irrelevant operators suppressed by a high mass scale up to ~ 103 times the inflationary Hubble scale.},
doi = {10.1007/JHEP10(2013)171},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2013,
place = {United States},
year = {2013},
month = {10}
}

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