The Rarity of Star Formation in Brightest Cluster Galaxies as Measured
  by WISE
  We present the mid-infrared (IR) star formation rates of 245 X-ray selected,
nearby (z<0.1) brightest cluster galaxies (BCGs). A homogeneous and volume
limited sample of BCGs was created by X-ray selecting clusters with L_x >
1x10^44 erg/s. The Wide-Field Infrared Survey Explorer (WISE) AllWISE Data
Release provides the first measurement of the 12 micron star formation
indicator for all BCGs in the nearby Universe. Perseus A and Cygnus A are the
only galaxies in our sample to have star formation rates of > 40 M_sol/yr,
indicating that these two galaxies are highly unusual at current times. Stellar
populations of 99 +/- 0.6 % of local BCGs are (approximately) passively
evolving, with star formation rates of <10 M_sol/yr. We find that in general,
star formation produces only modest BCG growth at the current epoch.
