  We consider a renormalizable extension of the minimal supersymmetric standard
model endowed by an R and a gauged B - L symmetry. The model incorporates
chaotic inflation driven by a quartic potential, associated with the Higgs
field which leads to a spontaneous breaking of U(1)B-L, and yields possibly
detectable gravitational waves. We employ semi-logarithmic Kahler potentials
with an enhanced symmetry which include only quadratic terms and integer
prefactor for the logarithms. An explanation of the mu term of the MSSM is also
provided, consistently with the low energy phenomenology, under the condition
that one related parameter in the superpotential is somewhat small.
Baryogenesis occurs via non-thermal leptogenesis which is realized by the
inflaton's decay to the lightest or next-to-lightest right-handed neutrinos.
