Plateau Inflation in $R$-parity Violating MSSM
  Inflation with plateau potentials give the best fit to the CMB observables as
they predict tensor to scalar ratio stringently bounded by the observations
from Planck and BICEP2/Keck. In supergravity models it is possible to obtain
plateau potentials for scalar fields in the Einstein frame which can serve as
the inflation potential by considering higher dimensional Planck suppressed
operators and by the choice of non-canonical K\"ahler potentials. We construct
a plateau inflation model in MSSM where the inflation occurs along a
sneutrino-Higgs flat direction. A hidden sector Polonyi field is used for the
breaking of supersymmetry after the end of the inflation. The proper choice of
superpotential leads to strong stabilization of the Polonyi field, $m_{Z}^2\gg
m_{3/2}^2$, which is required to solve the cosmological moduli problem. Also,
the SUSY breaking results in a TeV scale gravitino mass and scalar masses and
gives rise to bilinear and triliear couplings of scalars which can be tested at
the LHC. The sneutrino inflation field can be observed at the LHC as a TeV
scale diphoton resonance like the one reported by CMS and ATLAS.
