Inclusive Gluon Production in Pion-Proton Collisions and the Principle Maximum Conformality Renormalization Scale

The contribution of the higher-twist mechanism to the large-$p_T$ inclusive gluon production cross section in $\pi p$ collisions is calculated in case of the principle of maximum conformality and Brodsky-Lepage-Mackenzie approaches in the dependence of the pion distribution amplitudes. The higher-twist cross sections obtained in the framework of the principle of maximum conformality and Brodsky-Lepage-Mackenzie approaches, and compared and analyzed in relation to the leading-twist cross sections and each other.