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Strongly star-forming galaxies are prolific in producing the young and mostmassive star clusters (YMCs) still forming today. This work investigates thestar cluster luminosity functions (CLFs, dN/dL ~ L^{-alpha}) of 26 starburstand luminous infrared galaxies (LIRGs) taken from the SUNBIRD survey. Thetargets were imaged using near-infrared (NIR) K-band adaptive optics systems.Single power-law fits of the derived CLFs result in a slope ranging between1.53 and 2.41, with the median and average of 1.87 +/- 0.23 and 1.93 +/- 0.23,respectively. Possible biases such as blending effects and the choice ofbinning should only flatten the slope by no more than ~0.15, especially forcases where the luminosity distance of the host galaxy is below 100 Mpc.Results from this follow-up study strengthen the conclusion from our previouswork: the CLF slopes are shallower for strongly star-forming galaxies incomparison to those with less intense star formation activity. There is also a(mild) correlation between the slope and both the host galaxy's star formationrate (SFR) and SFR density Sigma_SFR, i.e. the CLF flattens with an increasingSFR and Sigma_SFR. Finally, we also find that CLFs on sub-galactic scalesassociated with the nuclear regions of cluster-rich targets (N ~ 300) havetypically shallower slopes than the ones of the outer field by ~0.5. Ouranalyses suggest that the extreme environments of strongly star-forminggalaxies are likely to influence the cluster formation mechanisms andultimately their physical properties.

The SUNBIRD survey: the K-band luminosity functions of young massive clusters in intensely star-forming galaxies