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Title: Anomalous dimensions and non-gaussianity

Journal Article · · Journal of High Energy Physics (Online)

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.

Research Organization:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC); High Energy Physics (HEP); National Science Foundation (NSF)
DOE Contract Number:
AC02-76SF00515
OSTI ID:
1063787
Report Number(s):
SLAC-PUB-15334; arXiv:1301.2630
Journal Information:
Journal of High Energy Physics (Online), Vol. 2013, Issue 10; ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English

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The effective field theory of multifield inflation journal April 2012
Dissipative effects in the effective field theory of inflation journal January 2012
Large Mass Hierarchy from a Small Extra Dimension journal October 1999
Generating Small Numbers by Tunneling in Multi-Throat Compactifications journal June 2004
Desensitizing inflation from the Planck scale journal September 2010
Inflating with baryons journal April 2011
Axion monodromy in a model of holographic gluodynamics journal February 2012
Natural Inflation on a Steep Potential with Classical Non-Abelian Gauge Fields journal June 2012
On loops in inflation journal December 2010
On loops in inflation III: time independence of ζ in single clock inflation journal July 2012
Extracting Primordial Non-Gaussianity without Cosmic Variance journal January 2009
Carving out the space of 4D CFTs journal May 2012
Non-Gaussianity Consistency Relation for Multifield Inflation journal June 2011
Universal Bound on N -Point Correlations from Inflation journal November 2011
Constraints on local primordial non-Gaussianity from large scale structure text January 2008
Extracting primordial non-gaussianity without cosmic variance text January 2009
Primordial non-Gaussianity in the bispectrum of the halo density field text January 2011
Galaxy bias and non-linear structure formation in general relativity text January 2011
Comments on Unparticles text January 2008
Advances in Inflation in String Theory text January 2009
Non-Gaussianities in Single Field Inflation and their Optimal Limits from the WMAP 5-year Data text January 2009
A Naturally Large Four-Point Function in Single Field Inflation text January 2010
Inflating with Baryons text January 2010
Local stochastic non-Gaussianity and N-body simulations text January 2010
Strongly Coupled Perturbations in Two-Field Inflationary Models text January 2010
Features of heavy physics in the CMB power spectrum text January 2010
Conformal Invariance, Dark Energy, and CMB Non-Gaussianity text January 2011
Galaxy Bias and non-Linear Structure Formation in General Relativity text January 2011
The real shape of non-Gaussianities text January 2011
Dissipative effects in the Effective Field Theory of Inflation text January 2011
On Soft Limits of Inflationary Correlation Functions text January 2012
Effects and Detectability of Quasi-Single Field Inflation in the Large-Scale Structure and Cosmic Microwave Background text January 2012
Prospects for constraining the shape of non-Gaussianity with the scale-dependent bias text January 2012
Operator Product Expansion of Inflationary Correlators and Conformal Symmetry of de Sitter text January 2012
Collective Symmetry Breaking and Resonant Non-Gaussianity text January 2012
Non-Gaussian features of primordial fluctuations in single field inflationary models text January 2002
The shape of non-Gaussianities text January 2004

Cited By (9)

Galaxy bias and primordial non-Gaussianity journal December 2015
Imprints of massive primordial fields on large-scale structure journal February 2016
Effective theory of large-scale structure with primordial non-Gaussianity journal November 2015
EFT of large scale structures in redshift space journal March 2018
The goldstone and goldstino of supersymmetric inflation journal October 2015
Planck-suppressed operators journal January 2014
Primordial fluctuations and non-Gaussianities in sidetracked inflation journal July 2018
Imprints of Massive Primordial Fields on Large-Scale Structure text January 2015
Primordial fluctuations and non-Gaussianities in sidetracked inflation text January 2018

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