The Rational Part of QCD Amplitude III: the Six-Gluon

The rational part of the 6-gluon one-loop amplitude with scalar circulating in the loop is computed by using the newly developed method for computing the rational part directly from Feynman integrals. We present the analytic results for the two MHV helicity configurations: $(1^-2^+3^+4^-5^+6^+)$ and $ (1^-2^+3^-4^+5^+6^+)$, and the two NMHV helicity configurations: $ (1^-2^-3^+4^-5^+6^+)$ and $ (1^-2^+3^-4^+5^-6^+)$. Combined with the previously computed results for the cut-constructible part, our results are the last missing pieces for the complete partial helicity amplitudes of the 6-gluon one-loop QCD amplitude