  We present a general polynomial chaotic inflation model in supergravity, for
which the predicted spectral index and tensor-to-scalar ratio can lie within
the 1 sigma region allowed by the Planck results. Most importantly, the
predicted tensor-to-scalar ratio is large enough to be probed in the on-going
and future B-mode experiments. We study the inflaton dynamics and the
subsequent reheating process in a couple of specific examples. The non-thermal
gravitino production from the inflaton decay can be suppressed in a case with a
discrete Z_2 symmetry. We find that the reheating temperature can be naturally
as high as O(10^{9-10}) GeV, sufficient for baryon asymmetry generation through
(non-)thermal leptogenesis.
