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Nuclear starbursts and AGN activity are the main heating processes inluminous infrared galaxies (LIRGs) and their relationship is fundamental tounderstand galaxy evolution. In this paper, we study the star-formation and AGNactivity of a sample of 11 local LIRGs imaged with subarcsecond angularresolution at radio (8.4GHz) and near-infrared ($2.2\mu$m) wavelengths. Thisallows us to characterize the central kpc of these galaxies with a spatialresolution of $\simeq100$pc. In general, we find a good spatial correlationbetween the radio and the near-IR emission, although radio emission tends to bemore concentrated in the nuclear regions. Additionally, we use an MCMC code tomodel their multi-wavelength spectral energy distribution (SED) using templatelibraries of starburst, AGN and spheroidal/cirrus models, determining theluminosity contribution of each component, and finding that all sources in oursample are starburst-dominated, except for NGC6926 with an AGN contribution of$\simeq64$\%. Our sources show high star formation rates ($40$ to$167M_\odot\mathrm{yr}^{-1}$), supernova rates (0.4 to$2.0\mathrm{SN}\mathrm{yr}^{-1}$), and similar starburst ages (13 to$29\mathrm{Myr}$), except for the young starburst (9Myr) in NGC6926. Acomparison of our derived star-forming parameters with estimates obtained fromdifferent IR and radio tracers shows an overall consistency among the differentstar formation tracers. AGN tracers based on mid-IR, high-ionization lineratios also show an overall agreement with our SED model fit estimates for theAGN. Finally, we use our wide-band VLA observations to determine pixel-by-pixelradio spectral indices for all galaxies in our sample, finding a typical medianvalue ($\alpha\simeq-0.8$) for synchrotron-powered LIRGs.

Star formation and AGN activity in a sample of local Luminous Infrared Galaxies through multi-wavelength characterization