Probing modified gravity with integrated Sachs-Wolfe CMB and galaxy cross-correlations

We use the cross-correlation power spectrum of integrated Sachs-Wolfe (ISW) effect in cosmic microwave background (CMB) temperature anisotropy and galaxy fluctuations to probe physics late-time acceleration. For this purpose, we focus on three models dark energy that belong a sub-class Horndeski theories with speed gravity equivalent light: Galileon Ghost Condensate (GGC), Generalized Cubic Covariant (GCCG), K-mouflage. In GGC GCCG models, existence cubic-order scalar self-interactions allows possibility for realizing negative ISW-galaxy cross-correlations, while K-mouflage model predicts positive correlation similar $\Lambda$-cold-dark-matter (LCDM) model. our analysis, fix parameters each their best-fit values derived from baseline likelihood analysis observational data CMB, baryon acoustic oscillations, supernovae type Ia. Then fit those extracted collection photometric redshift surveys. find both degrade compared LCDM This is attributed fact that, constrained likelihood, self-interaction gives rise suppressed ISW tails relative $\Lambda$CDM. The largely degenerate has positively correlated close LCDM.