(Sub)millimetre interferometric imaging of a sample of COSMOS/AzTEC submillimetre galaxies - II. The spatial extent of the radio-emitting regions

Abstract

Radio emission at cm wavelengths from highly star-forming galaxies, such as SMGs, is dominated by synchrotron radiation arising from supernova activity. Using deep, high-resolution ($1\sigma =2.3$ $\mu$Jy beam${}^{-1}$; $0.75^{"}$) cm radio-continuum observations taken by the VLA-COSMOS 3 GHz Large Project, we studied the radio-emitting sizes of a flux-limited sample of SMGs in the COSMOS field. Of the 39 SMGs studied here, 3 GHz emission was detected towards 18 of them ($\sim 46\pm 11\%$) with S/N ratios in the range of $S/N=4.2-37.4$. Using 2D elliptical Gaussian fits, we derived a median deconvolved major axis FWHM size of $0.54^{"}\pm 0.11^{"}$ for our 18 SMGs detected at 3 GHz. For the 15 SMGs with known redshift we derived a median linear major axis FWHM of $4.2\pm 0.9$ kpc. No clear correlation was found between the radio-emitting size and the 3 GHz or submm flux density, or the redshift of the SMG. However, there is a hint of larger radio sizes at $z\sim 2.5-5$ compared to lower redshifts. The sizes we derived are consistent with previous SMG sizes measured at 1.4 GHz and in mid-$J$ CO emission, but significantly larger than those seen in the (sub)mm continuum emission. One possible scenario is that SMGs have i) an extended gas component with a low dust temperature, and which can be traced by low- to mid-$J$ CO line emission and radio continuum emission, and ii) a warmer, compact starburst region giving rise to the high-$J$ line emission of CO, which could dominate the dust continuum size measurements. Because of the rapid cooling of CR electrons in dense starburst galaxies ($\sim 10^4-10^5$ yr), the more extended synchrotron radio-emitting size being a result of CR diffusion seems unlikely. Instead, if SMGs are driven by galaxy mergers the radio synchrotron emission might arise from more extended magnetised ISM around the starburst region.

18 pages (incl. 5 appendices), 7 figures, and 5 tables; accepted for publication in A&A; abstract abridged for arXiv

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