The Plateau de Bure + 30m Arcsecond Whirlpool Survey reveals a thick disk of diffuse molecular gas in the M51 galaxy

We present the data of the Plateau de Bure Arcsecond Whirlpool Survey (PAWS), a high spatial and spectral resolution 12CO(1-0) line survey of the inner 10 x 6 kpc of the M51 system, and the first wide-field imaging of molecular gas in a star-forming spiral galaxy with resolution matched to the typical size of Giant Molecular Clouds (40 pc). We describe the observation, reduction, and combination of the Plateau de Bure Interferometer (PdBI) and IRAM-30m "short spacing" data. The final data cube attains 1.1"-resolution over the 270" x 170" field of view, with sensitivity to all spatial scales from the combination of PdBI and IRAM-30m data, and brightness sensitivity of 0.4 K (1 sigma) in each 5 km/s-wide channel map. We find a CO-luminosity of 9.10^8 K km/s pc^2, corresponding to a molecular gas mass of 4.10^9 Msol for a standard CO-to-H2 conversion factor. Unexpectedly, we find that a large fraction, (50 +/- 10)%, of this emission arises mostly from spatial scales larger than 36" or about 1.3 kpc. Through a series of tests, we demonstrate that this extended emission does not result from a processing artifact. We discuss its origin in light of the stellar component, the 12CO/13CO ratio, and the difference between the kinematics and structure of the PdBI-only and hybrid synthesis (PdBI + IRAM-30m) images. The extended emission is consistent with a thick, diffuse disk of molecular gas with a typical scale height of about 200 pc, substructured in unresolved filaments which fills about 0.1% of the volume.