skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Abstract

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

Authors:
 [1];  [1]
  1. Univ. of Chicago, IL (United States). Enrico Fermi Inst.; Univ. of Chicago, IL (United States). Kavli Inst. for Cosmological Physics (KICP)
Publication Date:
Research Org.:
Univ. of Chicago, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1593980
Alternate Identifier(s):
OSTI ID: 1461008
Grant/Contract Number:  
[SC0009924; FG02-13ER41958]
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
[ Journal Volume: 98; Journal Issue: 2]; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS

Citation Formats

Passaglia, Samuel, and Hu, Wayne. Scalar bispectrum beyond slow-roll in the unified EFT of inflation. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.98.023526.
Passaglia, Samuel, & Hu, Wayne. Scalar bispectrum beyond slow-roll in the unified EFT of inflation. United States. doi:10.1103/PhysRevD.98.023526.
Passaglia, Samuel, and Hu, Wayne. Thu . "Scalar bispectrum beyond slow-roll in the unified EFT of inflation". United States. doi:10.1103/PhysRevD.98.023526. https://www.osti.gov/servlets/purl/1593980.
@article{osti_1593980,
title = {Scalar bispectrum beyond slow-roll in the unified EFT of inflation},
author = {Passaglia, Samuel and Hu, Wayne},
abstractNote = {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},
doi = {10.1103/PhysRevD.98.023526},
journal = {Physical Review D},
number = [2],
volume = [98],
place = {United States},
year = {2018},
month = {7}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Models of non-relativistic quantum gravity: the good, the bad and the healthy
journal, April 2011

  • Blas, D.; Pujolàs, O.; Sibiryakov, S.
  • Journal of High Energy Physics, Vol. 2011, Issue 4
  • DOI: 10.1007/JHEP04(2011)018

Ostrogradsky's theorem on Hamiltonian instability
journal, January 2015


Prospects for cosmological collider physics
journal, March 2017

  • Meerburg, P. Daniel; Münchmeyer, Moritz; Muñoz, Julian B.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 03
  • DOI: 10.1088/1475-7516/2017/03/050

Effective field theory approach to modified gravity including Horndeski theory and Hořava–Lifshitz gravity
journal, November 2014

  • Kase, Ryotaro; Tsujikawa, Shinji
  • International Journal of Modern Physics D, Vol. 23, Issue 13
  • DOI: 10.1142/S0218271814430081

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

  • Bartolo, Nicola; Fasiello, Matteo; Matarrese, Sabino
  • Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 09
  • DOI: 10.1088/1475-7516/2010/09/035

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

  • Fasiello, Matteo; Renaux-Petel, Sébastien
  • Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 10
  • DOI: 10.1088/1475-7516/2014/10/037

Essential building blocks of dark energy
journal, August 2013

  • Gleyzes, Jerome; Langlois, David; Piazza, Federico
  • Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 08
  • DOI: 10.1088/1475-7516/2013/08/025

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

  • Bartolo, Nicola; Cannone, Dario; Matarrese, Sabino
  • Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 10
  • DOI: 10.1088/1475-7516/2013/10/038

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


Warp features in DBI inflation
journal, September 2012


Second-order scalar-tensor field equations in a four-dimensional space
journal, September 1974

  • Horndeski, Gregory Walter
  • International Journal of Theoretical Physics, Vol. 10, Issue 6
  • DOI: 10.1007/BF01807638

Nonlinear excitations in inflationary power spectra
journal, January 2016


Exploring gravitational theories beyond Horndeski
journal, February 2015

  • Gleyzes, Jérôme; Langlois, David; Piazza, Federico
  • Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 02
  • DOI: 10.1088/1475-7516/2015/02/018

Planck 2015 results : XIII. Cosmological parameters
journal, September 2016


Large slow-roll corrections to the bispectrum of noncanonical inflation
journal, July 2011

  • Burrage, Clare; Ribeiro, Raquel H.; Seery, David
  • Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 07
  • DOI: 10.1088/1475-7516/2011/07/032

The (not so) squeezed limit of the primordial 3-point function
journal, November 2011

  • Creminelli, Paolo; D'Amico, Guido; Musso, Marcello
  • Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 11
  • DOI: 10.1088/1475-7516/2011/11/038

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

  • Chen, Xingang; Huang, Min-xin; Kachru, Shamit
  • Journal of Cosmology and Astroparticle Physics, Vol. 2007, Issue 01
  • DOI: 10.1088/1475-7516/2007/01/002

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

  • Cheung, Clifford; Fitzpatrick, A. Liam; Kaplan, Jared
  • Journal of Cosmology and Astroparticle Physics, Vol. 2008, Issue 02
  • DOI: 10.1088/1475-7516/2008/02/021

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

  • Chen, Xingang; Easther, Richard; Lim, Eugene A.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2007, Issue 06
  • DOI: 10.1088/1475-7516/2007/06/023

Generation and characterization of large non-Gaussianities in single field inflation
journal, April 2008

  • Chen, Xingang; Easther, Richard; Lim, Eugene A.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2008, Issue 04
  • DOI: 10.1088/1475-7516/2008/04/010

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

  • Ramírez, Héctor; Passaglia, Samuel; Motohashi, Hayato
  • Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 04
  • DOI: 10.1088/1475-7516/2018/04/039

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

  • Pajer, Enrico; Pimentel, Guilherme L.; Wijck, Jaap V. S. van
  • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 06
  • DOI: 10.1088/1475-7516/2017/06/009

Ultra slow-roll inflation and the non-Gaussianity consistency relation
journal, January 2013


Effective description of higher-order scalar-tensor theories
journal, May 2017

  • Langlois, David; Mancarella, Michele; Noui, Karim
  • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 05
  • DOI: 10.1088/1475-7516/2017/05/033

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

  • Flauger, Raphael; McAllister, Liam; Pajer, Enrico
  • Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 06
  • DOI: 10.1088/1475-7516/2010/06/009

Non-gaussian features of primordial fluctuations in single field inflationary models
journal, May 2003


Second order general slow-roll power spectrum
journal, July 2004

  • Choe, Jeongyeol; Gong, Jinn-Ouk; Stewart, Ewan D.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2004, Issue 07
  • DOI: 10.1088/1475-7516/2004/07/012

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

  • Achour, J. Ben; Crisostomi, M.; Koyama, K.
  • Journal of High Energy Physics, Vol. 2016, Issue 12
  • DOI: 10.1007/JHEP12(2016)100

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

  • Senatore, Leonardo; Smith, Kendrick M.; Zaldarriaga, Matias
  • Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 01
  • DOI: 10.1088/1475-7516/2010/01/028

Cosmology with many light scalar fields: Stochastic inflation and loop corrections
journal, March 2009