Hot Jupiters are expected to be dark from both observations (albedo upper
limits) and theory (alkali metals and/or TiO and VO absorption). However, only
a handful of hot Jupiters have been observed with high enough photometric
precision at visible wavelengths to investigate these expectations. The NASA
Kepler mission provides a means to widen the sample and to assess the extent to
which hot Jupiter albedos are low. We present a global analysis of Kepler-7b
based on Q0-Q4 data, published radial velocities, and asteroseismology
constraints. We measure an occultation depth in the Kepler bandpass of 44+-5
ppm. If directly related to the albedo, this translates to a Kepler geometric
albedo of 0.32+-0.03, the most precise value measured so far for an exoplanet.
We also characterize the planetary orbital phase lightcurve with an amplitude
of 42+-4 ppm. Using atmospheric models, we find it unlikely that the high
albedo is due to a dominant thermal component and propose two solutions to
explain the observed planetary flux. Firstly, we interpret the Kepler-7b albedo
as resulting from an excess reflection over what can be explained solely by
Rayleigh scattering, along with a nominal thermal component. This excess
reflection might indicate the presence of a cloud or haze layer in the
atmosphere, motivating new modeling and observational efforts. Alternatively,
the albedo can be explained by Rayleigh scattering alone if Na and K are
depleted in the atmosphere by a factor of 10-100 below solar abundances.Comment: Accepted for publication in ApJ