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One major goal of upcoming large-scale-structure surveys is to constrain darkenergy and modified gravity theories. In particular, galaxy clustering andgravitational lensing convergence are probes sensitive to modifications ofgeneral relativity. While the standard analysis for these surveys typicallyincludes power spectra or 2-point correlation functions, it is known that thebispectrum contains more information, and could offer improved constraints onparameters when combined with the power spectra. However, the use of bispectrahas been limited so far to one single probe, e.g. the lensing convergencebispectrum or the galaxy bispectrum. In this paper, we extend the formalism toexplore the power of cross-bispectra between different probes, and exploittheir ability to break parameter degeneracies and improve constraints. We studythis on a test case of lensing convergence and galaxy density auto- andcross-bispectra, for a particular sub-class of Horndeski theories parametrizedby $c_M$ and $c_B$. Using the 2000 deg$^2$ notional survey of the Nancy GraceRoman Space Telescope with overlapping photometry from the Rubin ObservatoryLegacy Survey of Space and Time, we find that a joint power spectra andbispectra analysis with three redshift bins at $l_{\rm max} = 1000$ yields$\sigma_{c_M} = 1.0$ and $\sigma_{c_B} = 0.3$, both a factor of $\sim$1.2better than the power spectra results; this would be further improved to$\sigma_{c_M} = 0.7$ and $\sigma_{c_B} = 0.2$ if $l_{\rm max} = 3000$ is taken.Furthermore, we find that using all possible cross-bispectra between the twoprobes in different tomographic bins improves upon auto-bispectra results by afactor of 1.3 in $\sigma_{c_M}$, 1.1 in $\sigma_{c_B}$ and 1.3 in$\sigma_{\Omega_m}$. We expect that similar benefits of using cross-bispectrabetween probes could apply to other science cases and surveys.

physical review. d/physical review. d.

Cross-bispectra Constraints on Modified Gravity Theories from Nancy  Grace Roman Space Telescope and Rubin Observatory Legacy Survey of Space and  Time