Panchromatic Hubble Andromeda Treasury XIII: The Cepheid
  period-luminosity relation in M31
  Using Hubble Space Telescope Advanced Camera for Surveys (HST/ACS) and Wide
Field Camera 3 (WFC3) observations from the Panchromatic Hubble Andromeda
Treasury (PHAT), we present new period-luminosity (P-L) relations for Cepheid
variables in M31. Cepheids from several ground-based studies are identified in
the PHAT photometry to derive new P-L and Wesenheit P-L relations in the near
infrared and visual filters. We derive a distance modulus to M31 of 24.51 +/-
0.08 in the IR bands and 24.32 +/- 0.09 in the visual bands, including the
first P-L relations in the F475W and F814W filters for M31. Our derived visual
and IR distance moduli disagree at slightly more than a 1{\sigma} level.
Differences in the P-L relations between ground-based and HST observations are
investigated for a subset of Cepheids. We find a significant discrepancy
between ground-based and HST P-L relations with the same Cepheids, suggesting
adverse effects from photometric contamination in ground-based Cepheid
observations. Additionally, a statistically significant radial trend in the P-L
relation is found which does not appear to be explained by metallicity.
