We study the implication of golden ratio in neutrino physics where the solar mixing angle ( \(\theta _{12}\) ) which is one of the three neutrino mixing angles is closely related to this ratio. An exact leptonic mixing pattern which predicts golden ratio can be generated by certain discrete symmetry groups such as \(A_5\) . We use these three mixing angles given by the exact golden ratio neutrino mixing pattern as input values at a high energy scale, to obtain the low energy neutrino oscillation parameters through the numerical analysis of the relevant renormalization group equations (RGEs) of neutrino masses and mixing angles. Such radiative correction establishes the validity of golden ratio neutrino mixings defined at high energy scale from certain discrete symmetry, consistent with latest Planck cosmological data \(\sum |m_i|<0.12\) eV, for normal hierarchical mass model at a larger value of \(\tan \beta >60\) and SUSY breaking scale \(m_s\) =1TeV. The sensitivity on the values of \(\sum |m_i|\) on \(m_s\) is also discussed.