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We investigate the mid-infrared properties of the largest (42 objects) sampleof radio-loud narrow-line Seyfert 1 (RL NLS1) collected to date, using datafrom the Wide-field Infrared Survey Explorer (WISE). We analyse the mid-IRcolours of these objects and compare them to what is expected from differentcombinations of AGN and galaxy templates. We find that, in general, thehost-galaxy emission gives an importan contribution to the observed mid-IR fluxin particular at the longest wavelengths (W3, at 12micron, and W4, at22micron). In about half of the sources (22 objects) we observe a very redmid-IR colour (W4-W3>2.5) that can be explained only using a starburst galaxytemplate (M82). Using the 22micron luminosities, corrected for the AGNcontribution, we have then estimated the star-formation rate for 20 of these"red" RL NLS1, finding values ranging from 10 to 500 Msun/y. For the RL NLS1showing bluer colours, instead, we cannot exclude the presence of astar-forming host galaxy although, on average, we expect a lower star-formationrate. Studying the radio (1.4GHz) to mid-IR (22micron) flux ratios of the RLNLS1 in the sample we found that in ~10 objects the star-forming activity couldrepresent the most important component also at radio frequencies, in addition(or in alternative) to the relativistic jet. We conclude that both the mid-IRand the radio emission of RL NLS1 are a mixture of different components,including the relativistic jet, the dusty torus and an intense star-formingactivity.

WISE colours and star-formation in the host galaxies of radio-loud narrow-line Seyfert 1