We present a mid-infrared Tully-Fisher ( TF ) relation using photometry from the 3.4 \mu m W 1 band of the Wide-field Infrared Survey Explorer ( WISE ) satellite .
The WISE TF relation is formed from 568 galaxies taken from the all-sky 2MASS Tully-Fisher ( 2MTF ) galaxy catalog , spanning a range of environments including field , group , and cluster galaxies .
This constitutes the largest mid-infrared TF relation constructed , to date .
After applying a number of corrections to galaxy magnitudes and line widths , we measure a master TF relation given by M _ { corr } = -22.24 - 10.05 [ \log ( W _ { corr } ) -2.5 ] , with an average dispersion of \sigma _ { WISE } = 0.686 magnitudes .
There is some tension between WISE TF and a preliminary 3.6 \mu m relation , which has a shallower slope and almost no intrinsic dispersion .
However , our results agree well with a more recent relation constructed from a large sample of cluster galaxies .
We additionally compare WISE TF to the near-infrared 2MTF template relations , finding a good agreement between the TF parameters and total dispersions of WISE TF and the 2MTF K-band template .
This fact , coupled with typical galaxy colors of ( K - W 1 ) \sim 0 , suggests that these two bands are tracing similar stellar populations , including the older , centrally-located stars in the galactic bulge which can ( for galaxies with a prominent bulge ) dominate the light profile .