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We present the detailed analysis of 11 local luminous infrared galaxies(LIRGs) from ultraviolet through far-infrared to radio ($\sim$70 MHz to$\sim$15 GHz) bands. We derive the astrophysical properties through spectralenergy distribution (SED) modeling using the Code Investigating GALaxy Emission(CIGALE) and UltraNest codes. The radio SEDs include our new observations at325 and 610 MHz from the GMRT and the measurements from public archives. Ourmain results are (1) radio SEDs show turnovers and bends, (2) the synchrotronspectral index of the fitted radio spectra ranges between $-$0.5 and $-$1.7,and (3) the infrared luminosity, dust mass, dust temperature, stellar mass,star-formation rates (SFRs) and AGN fraction obtained from CIGALE falls in therange exhibited by galaxies of the same class. The ratio of 60$\mu$m infraredand 1.4 GHz radio luminosity, the 1.4 GHz thermal fraction, and emissionmeasure range between 2.1 and 2.9, 0.1% and 10%, 0.02 and 269.5$\times$10$^{6}$cm$^{-6}$ pc, respectively. We conclude that the turnovers seen in the radioSEDs are due to free-free absorption; this is supported by the low AGN fractionderived from the CIGALE analysis. The decomposed 1.4 GHz thermal and nonthermalradio luminosities allowed us to compute the star formation rate (SFR) usingscaling relations. A positive correlation is observed between the SFR$_{IR}$obtained 10 Myr ago (compared to 100 Myr ago) and 1.4 GHz radio (total andnonthermal) because similar synchrotron lifetimes are expected for typicalmagnetic field strengths observed in these galaxies ($\approx$50$\mu$G).

Low frequency radio continuum imaging and SED modeling of 11 LIRGs: radio-only and FUV to radio bands