1. CMB lensing bispectrum as a probe of modified gravity theories
- Author
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François R. Bouchet, Toshiya Namikawa, Atsushi Taruya, Institut d'Astrophysique de Paris (IAP), Institut national des sciences de l'Univers (INSU - CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Institut d'Astrophysique de Paris ( IAP ), and Université Pierre et Marie Curie - Paris 6 ( UPMC ) -Institut national des sciences de l'Univers ( INSU - CNRS ) -Centre National de la Recherche Scientifique ( CNRS )
- Subjects
Photon ,Cosmology and Nongalactic Astrophysics (astro-ph.CO) ,lens ,General relativity ,gravitation: model ,correction: nonlinear ,[ PHYS.ASTR ] Physics [physics]/Astrophysics [astro-ph] ,scalar tensor ,matter: correction ,Cosmic microwave background ,Cosmic background radiation ,multipole ,FOS: Physical sciences ,Astrophysics::Cosmology and Extragalactic Astrophysics ,cosmic background radiation ,01 natural sciences ,expansion: multipole ,Cosmology ,Theoretical physics ,gravitation: lens ,scattering: surface ,0103 physical sciences ,general relativity ,structure ,010303 astronomy & astrophysics ,Physics ,010308 nuclear & particles physics ,fluctuation ,screening ,photon ,formation ,redshift ,Redshift ,Automatic Keywords ,Einstein ,history ,Multipole expansion ,[PHYS.ASTR]Physics [physics]/Astrophysics [astro-ph] ,Bispectrum ,Astrophysics - Cosmology and Nongalactic Astrophysics - Abstract
Cosmological structures grow differently in theories of gravity which are modified as compared to Einstein's General relativity (GR). Cosmic microwave background (CMB) fluctuation patterns at the last scattering surface are lensed by these structures along the photon path to the observer. The observed CMB pattern therefore keeps trace of the growth history of structures. We show that observations of the CMB lensing bi-spectrum offer an interesting way to constrain deviations from GR in a broad class of scalar-tensor theories of gravity called "beyond Horndeski". We quantify how the constraints on generic parameters describing the deviations from GR depend on the effective multipole range of the analysis. Our results further indicate that an accurate nonlinear correction of the matter bi-spectrum in the modified gravity considered is necessary when the bi-spectrum is used to probe scales beyond a multipole $\ell_{\rm max} \gtrsim 1500$. We also found that the results are insensitive to details of the implementation of the screening mechanism, at very small scales. We finally demonstrate the potential of the lensing bi-spectrum to provide a blind reconstruction of the redshift evolution of our modified gravity parameters by combining the analysis of CMB and low-z source lensing data., Comment: 12 pages, 6 figures
- Published
- 2018
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