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Dark energy can modify the dynamics of dark matter if there exists a directinteraction between them. Thus a measurement of the structure growth, e.g.,redshift-space distortions (RSD), can provide a powerful tool to constrain theinteracting dark energy (IDE) models. For the widely studied $Q=3\betaH\rho_{de}$ model, previous works showed that only a very small coupling($\beta\sim\mathcal{O}(10^{-3})$) can survive in current RSD data. However, allthese analyses had to assume $w>-1$ and $\beta>0$ due to the existence of thelarge-scale instability in the IDE scenario. In our recent work [Phys. Rev. D90, 063005 (2014)], we successfully solved this large-scale instability problemby establishing a parametrized post-Friedmann (PPF) framework for the IDEscenario. So we, for the first time, have the ability to explore the fullparameter space of the IDE models. In this work, we reexamine the observationalconstraints on the $Q=3\beta H\rho_{de}$ model within the PPF framework. Byusing the Planck data, the baryon acoustic oscillation data, the JLA sample ofsupernovae, and the Hubble constant measurement, we get$\beta=-0.010^{+0.037}_{-0.033}$ ($1\sigma$). The fit result becomes$\beta=-0.0148^{+0.0100}_{-0.0089}$ ($1\sigma$) once we further incorporate theRSD data in the analysis. The error of $\beta$ is substantially reduced withthe help of the RSD data. Compared with the previous results, our results showthat a negative $\beta$ is favored by current observations, and a relativelylarger interaction rate is permitted by current RSD data.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Exploring the full parameter space for an interacting dark energy model  with recent observations including redshift-space distortions: Application of  the parametrized post-Friedmann approach