The Stacked Thermal SZ Signal of Locally Brightest Galaxies in Planck
  Full Mission Data: Evidence for Galaxy Feedback?
  We use the Planck full mission temperature maps to examine the stacked
thermal Sunyaev-Zel'dovich (tSZ) signal of 188042 "locally brightest galaxies'"
(LBGs) selected from the Sloan Digital Sky Survey Data Release 7. Our LBG
sample closely matches that of Planck Collaboration XI (2013, PCXI) but our
analysis differs in several ways. We work directly in terms of physically
observable quantities, requiring minimal assumptions about the gas pressure
profile. We explicitly model the dust emission from each LBG and simultaneously
measure both the stacked tSZ and dust signals as a function of stellar mass
$M_*$. There is a small residual bias in stacked tSZ measurements; we measure
this bias and subtract it from our results, finding that the effects are
non-negligible at the lowest masses in the LBG sample. Finally, we compare our
measurements with two pressure profile models, finding that the profile from
Battaglia et al. (2012b) provides a better fit to the results than the Arnaud
et al. (2010) "universal pressure profile." However, within the uncertainties,
we find that the data are consistent with a self-similar scaling with mass ---
more precise measurements are needed to detect the relatively small deviations
from self-similarity predicted by these models. Consistent with PCXI, we
measure the stacked tSZ signal from LBGs with stellar masses down to
$\log_{10}(M_*/M_{\odot}) \sim 11.1-11.3$. For lower stellar masses, however,
we do not see evidence for a stacked tSZ signal. We note that the stacked dust
emission is comparable to, or larger than, the stacked tSZ signal for
$\log_{10}(M_*/M_{\odot}) \lesssim 11.3$. Future tSZ analyses with larger
samples and lower noise levels should be able to probe deviations from
self-similarity and thus provide constraints on models of feedback and the
evolution of hot halo gas over cosmic time.
