Color antisymmetric ghost propagator and the one loop vertex renormalization

Color matrix elements of the ghost triangle diagram that appears in the triple gluon vertex and the ghost-ghost-gluon triangle diagram that appears in the ghost-gluon-ghost vertex are calculated. The ghost-ghost-gluon triangle contains a loop consisting of two color diagonal ghost and one gluon and a loop consisting of two color antisymmetric ghost and one gluon. Consequently the pQCD argument in the infrared region based on the one particle irreducible diagram should be modified. Consequences in the Kugo-Ojima color confinement and the QCD running coupling are discussed.