Matter bispectrum beyond Horndeski

Abstract

The Horndeski scalar-tensor theory and its recent extensions allow nonlinear derivative interactions of the scalar degree of freedom. We study the matter bispectrum of large scale structure as a probe of these modified gravity theories, focusing in particular on the effect of the terms that newly appear in the so-called "beyond Horndeski" theories. We derive the second-order solution for the matter density perturbations and find that the interactions beyond Horndeski lead to a new time-dependent coefficient in the second-order kernel which differs in general from the standard value of general relativity and the Horndeski theory. This can deform the matter bispectrum at the folded triangle configurations ($k_1+k_2=k_3$), while it is never possible within the Horndeski theory.

12 pages, 4 figures

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• The one-loop matter bispectrum as a probe of gravity and dark energy
• Consistency relations for large-scale structure in modified gravity and the matter bispectrum
• Nonlinear evolution of initially biased tracers in modified gravity
• New constraints on cosmological modified gravity theories from anisotropic three-point correlation functions of BOSS DR12 galaxies
• The Effective Field Theory of Vector-Tensor Theories
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• Parametrizations for tests of gravity
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• UV sensitive one-loop matter power spectrum in degenerate higher-order scalar-tensor theories
• Estimating the Integrated Bispectrum from Weak Lensing Maps
• First test of the consistency relation for the large-scale structure using the anisotropic three-point correlation function of BOSS DR12 galaxies (An explanatory video is available at https://youtu.be/Zi36ooLPhss.)
• On the galaxy 3-point correlation function in Modified Gravity
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