We study biantisymmetric tensor quantum field theories with $O({N}_{1})\ifmmode\times\else\texttimes\fi{}O({N}_{2})$ symmetry. Working in $4\ensuremath{-}\ensuremath{\epsilon}$ dimensions we calculate the beta functions up to second order coupling constants and analyze detail renormalization group (RG) flow its fixed points. allow ${N}_{1}$ ${N}_{2}$ assume general real values treat them as bif...