  Prediction of low-mass $W_R$ and $Z_R$ gauge bosons in popular grand unified
theories has been the subject of considerable attention over the last three
decades. In this work we show that when gravity induced corrections due to
dim.5 operator are included the minimal symmetry breaking chain of $SO(10)$ and
$E_6$ GUTs can yield $W_R^{\pm}$ and $Z_R$ bosons with masses in the range
$(3-10)$ TeV which are accessible to experimental tests at the Large Hordan
Collider. The RH neutrinos turn out to be heavy pseudo-Dirac fermions. The
model can fit all fermion masses and manifest in rich structure of lepton
flavor violation while proton life time is predicted to be much longer than the
accessible limit of Super-Kamiokande or planned Hyper-Kamiokande
collaborations.
