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The effect of stellar multiplicity on the formation and evolution ofplanetary systems is complex. At a demographic level, campaigns with bothhigh-resolution imaging and radial velocity observations indicate that planetformation is strongly disrupted by close binaries, while being relativelyunaffected by wide companions. However, the magnitude and distance-limitednature of those tools mean that large ranges of mass ratios and separationsremain largely unexplored. The Early Data Release 3 (EDR3) from the GaiaMission includes radial velocity measurements of over 6.5 million targets,which we employ to explore the effect of binary companions within a statisticalframework called paired. These companions present as a source of excess radialvelocity noise in the Gaia catalog, when compared to the typical noise forstars of similar spectral type and magnitude. Within this framework, we examinethe evidence for stellar multiplicity among the stars surveyed by NASA's Keplerand TESS missions. We use radial velocity errors published in Gaia EDR3 toestimate the probability of an unresolved stellar companion for a large subsetof the Kepler and TESS Input Catalog stars, where possible benchmarking ourinferred radial velocity semi-amplitudes against the those from ground-basedradial velocity surveys. We determine that we are typically sensitive out toseveral AU and mass ratios $>0.1$, dependent upon the stellar magnitude. We aimfor paired to be a useful community tool for the exploration of the effects ofbinarity on planets at a population level, and for efficient identification offalse-positive transit candidates.

paired: A Statistical Framework for Determining Stellar Binarity with Gaia RVs. I. Planet Hosting Binaries