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We present a formalism for jointly fitting pre- and post-reconstructionredshift-space clustering (RSD) and baryon acoustic oscillations (BAO) plusgravitational lensing (of the CMB) that works directly with the observed2-point statistics. The formalism is based upon (effective) Lagrangianperturbation theory and a Lagrangian bias expansion, which models RSD, BAO andgalaxy-lensing cross correlations within a consistent dynamical framework. Asan example we present an analysis of clustering measured by the BaryonOscillation Spectroscopic Survey in combination with CMB lensing measured byPlanck. The post-reconstruction BAO strongly constrains the distance-redshiftrelation, the full-shape redshift-space clustering constrains the matterdensity and growth rate, and CMB lensing constrains the clustering amplitude.Using only the redshift space data we obtain $\Omega_\mathrm{m} = 0.303\pm0.008$, $H_0 = 69.21\pm 0.78$ and $\sigma_8 = 0.743\pm 0.043$. The addition oflensing information, even when restricted to the Northern Galactic Cap,improves constraints to $\Omega_m = 0.300 \pm 0.008$, $H_0 = 69.21 \pm 0.77$and $\sigma_8 = 0.707 \pm 0.035$, in tension with CMB and cosmic shearconstraints. The combination of $\Omega_m$ and $H_0$ are consistent withPlanck, though their constraints derive mostly from redshift-space clustering.The low $\sigma_8$ value are driven by cross correlations with CMB lensing inthe low redshift bin ($z\simeq 0.38$) and at large angular scales, which show a$20\%$ deficit compared to expectations from galaxy clustering alone. Weconduct several systematics tests on the data and find none that could fullyexplain these tensions.

Cosmological Analysis of Three-Dimensional BOSS Galaxy Clustering and Planck CMB Lensing Cross Correlations via Lagrangian Perturbation Theory