Higgs vacuum stability and inflationary dynamics after BICEP2 and PLANCK
  dust polarisation data
  If the recent detection of $B-$mode polarization of the Cosmic Microwave
Background by BICEP2 observations, withstand the test of time after the release
of recent PLANCK dust polarisation data, then it would surprisingly put the
inflationary scale near Grand Unification scale if one considers single-field
inflationary models. On the other hand, Large Hadron Collider has observed the
elusive Higgs particle whose presently observed mass can lead to electroweak
vacuum instability at high scale $(\sim{\mathcal O}(10^{10})$ GeV). In this
article, we seek for a simple particle physics model which can simultaneously
keep the vacuum of the theory stable and yield high-scale inflation
successfully. To serve our purpose, we extend the Standard Model of particle
physics with a $U(1)_{B-L}$ gauged symmetry which spontaneously breaks down
just above the inflationary scale. Such a scenario provides a constrained
parameter space where both the issues of vacuum stability and high-scale
inflation can be successfully accommodated. The threshold effect on the Higgs
quartic coupling due to the presence of the heavy inflaton field plays an
important role in keeping the electroweak vacuum stable. Furthermore, this
scenario is also capable of reheating the universe at the end of inflation.
Though the issues of Dark Matter and Dark Energy, which dominate the late-time
evolution of our universe, cannot be addressed within this framework, this
model successfully describes the early universe dynamics according to the Big
Bang model.
