  Higgs field of particle physics can play the role of the inflaton in the
early universe, if it is non-minimally coupled to gravity. The Higgs inflation
scenario predicts a small tensor to scalar ratio: $r\simeq 0.003$. Although
this value is consistent with the upper bound $r < 0.12$ given by BICEP2/Keck
Array and Planck data, but it is not at their maximum likelihood point:
$r\simeq 0.05$. Inflationary observables depend not only on the inflationary
models, but also depend on the initial conditions of inflation. Changing
initial state of inflation can improve the value of $r$. In this work, we study
the Higgs inflation model under general initial conditions and show that there
is a subset of these general initial conditions which leads to enhancement of
$r$. Then we show that this region of parameter space is consistent with
non-Gaussianity bound.
