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Title: Scalar bispectrum beyond slow-roll in the unified EFT of inflation

Journal Article · · Physical Review D
 [1];  [1]
  1. Univ. of Chicago, IL (United States). Enrico Fermi Inst.; Univ. of Chicago, IL (United States). Kavli Inst. for Cosmological Physics (KICP)
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We introduce a complete formulation of the scalar bispectrum in the unified effective field theory(EFT) of inflation, which includes the Horndeski and beyond-Horndeski Gleyzes-Langlois-Piazza-Vernizzi classes, in terms of a set of simple one-dimensional integrals. These generalized slow-rollexpressions remain valid even when slow-roll is transiently violated and encompass all configurationsof the bispectrum. We demonstrate analytically that our expressions explicitly preserve the squeezed-limitconsistency relation beyond slow-roll. As an example application of our results, we compute thescalar bispectrum in a model in which potential-driven G-inflation at early times transitions tochaotic inflation at late times, showing that our expressions accurately track the bispectrum whenslow-roll is violated and conventional slow-roll approximations fail

Research Organization:
Univ. of Chicago, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0009924; FG02-13ER41958
OSTI ID:
1593980
Alternate ID(s):
OSTI ID: 1461008
Journal Information:
Physical Review D, Vol. 98, Issue 2; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 4 works
Citation information provided by
Web of Science

References (64)

Models of non-relativistic quantum gravity: the good, the bad and the healthy journal April 2011
Ostrogradsky's theorem on Hamiltonian instability journal January 2015
Prospects for cosmological collider physics journal March 2017
Effective field theory approach to modified gravity including Horndeski theory and Hořava–Lifshitz gravity journal November 2014
Primordial non-Gaussianities from multiple-field inflation journal September 2005
Non-Gaussianity from step features in the inflationary potential journal January 2012
Large non-Gaussianities in the effective field theory approach to single-field inflation: the trispectrum journal September 2010
Fast computation of first-order feature-bispectrum corrections journal May 2012
New Class of Consistent Scalar-Tensor Theories journal May 2015
Non-gaussian inflationary shapes in G 3 theories beyond Horndeski journal October 2014
Essential building blocks of dark energy journal August 2013
Precision of inflaton potential reconstruction from CMB using the general slow-roll approximation journal July 2005
“In-in” formalism and cosmological perturbations journal October 2009
The effective field theory of inflation journal March 2008
Folded resonant non-Gaussianity in general single field inflation journal December 2010
The effective field theory of inflation models with sharp features journal October 2013
Potential-driven Galileon inflation journal October 2012
On the extra mode and inconsistency of Hořava gravity journal October 2009
Quantum gravity at a Lifshitz point journal April 2009
A note on the role of the boundary terms for the non-Gaussianity in general k-inflation journal May 2011
Spectrum of density perturbations produced during inflation to leading order in a general slow-roll approximation journal April 2002
Warp features in DBI inflation journal September 2012
Second-order scalar-tensor field equations in a four-dimensional space journal September 1974
Nonlinear excitations in inflationary power spectra journal January 2016
Exploring gravitational theories beyond Horndeski journal February 2015
Planck 2015 results : XIII. Cosmological parameters journal September 2016
Large slow-roll corrections to the bispectrum of noncanonical inflation journal July 2011
The (not so) squeezed limit of the primordial 3-point function journal November 2011
Generalized slow roll for noncanonical kinetic terms journal July 2011
Bispectrum in single-field inflation beyond slow-roll journal July 2013
Observational signatures and non-Gaussianities of general single-field inflation journal January 2007
Fundamental theorem on gauge fixing at the action level journal December 2016
Hamiltonian analysis of spatially covariant gravity journal November 2014
On the consistency relation of the three-point function in single-field inflation journal February 2008
Quantum contributions to cosmological correlations journal August 2005
A single-field consistency relation for the three-point function journal October 2004
Large non-Gaussianities in single-field inflation journal June 2007
Generation and characterization of large non-Gaussianities in single field inflation journal April 2008
Inflationary signatures of single-field models beyond slow-roll journal May 2012
Generalized slow roll approximation for large power spectrum features journal January 2010
Reconciling tensor and scalar observables in G-inflation journal April 2018
On the redundancy of operators and the bispectrum in the most general second-order scalar-tensor theory journal February 2012
Starting the Universe: stable violation of the null energy condition and non-standard cosmologies journal December 2006
The conformal limit of inflation in the era of CMB polarimetry journal June 2017
Ultra slow-roll inflation and the non-Gaussianity consistency relation journal January 2013
Effective description of higher-order scalar-tensor theories journal May 2017
Unifying framework for scalar-tensor theories of gravity journal October 2014
Equilateral non-gaussianity and new physics on the horizon journal September 2011
Higher-derivative operators and effective field theory for general scalar-tensor theories journal February 2018
Inflationary non-Gaussianities in the most general second-order scalar-tensor theories journal October 2011
Primordial non-Gaussianity from the DBI Galileons journal November 2010
Fast Computation of Bispectrum Features with Generalized Slow Roll journal August 2011
Oscillations in the CMB from axion monodromy inflation journal June 2010
Non-gaussian features of primordial fluctuations in single field inflationary models journal May 2003
Second order general slow-roll power spectrum journal July 2004
Planck 2015 results : XX. Constraints on inflation journal September 2016
Decoding the bispectrum of single-field inflation journal October 2011
Generalized slow roll in the unified effective field theory of inflation journal July 2017
Shapes of primordial non-Gaussianities in the Horndeski's most general scalar-tensor theories journal March 2013
Inflation and primordial non-Gaussianities of “generalized Galileons” journal December 2011
Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order journal December 2016
Gauge invariance and non-Gaussianity in inflation journal July 2011
Non-Gaussianities in single field inflation and their optimal limits from the WMAP 5-year data journal January 2010
Cosmology with many light scalar fields: Stochastic inflation and loop corrections journal March 2009

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Primordial Black Holes and Local Non-Gaussianity in Canonical Inflation text January 2018

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