We have obtained high-resolution spectropolarimetric data for the planet-hosting star \u3c4 Bootis, using the ESPaDOnS spectropolarimeter at the Canada\u2013France\u2013Hawaii Telescope (CFHT). A weak but clear Stokes V signature is detected on three of the four nights of 2006 June during which we have recorded data. This polarimetric signature indicates with no ambiguity the presence of a magnetic field at the star's surface, with intensity of just a few gauss. The analysis of the photospheric lines of \u3c4 Boo at ultra-high signal-to-noise ratio reveals the presence of an 18 per cent relative differential rotation. Tentative Zeeman\u2013Doppler imaging, using our spectropolarimetric observations covering only a fraction of the star's rot...