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QCD amplitudes with many external fields have been studied for a long time.At tree-level, the amplitudes can be obtained effectively by the BCFW recursionrelations. In this article, we extend the Britto-Cachazo-Feng-Witten (BCFW)relations to the QCD amplitude of which the external fields are all massive orinclude only one massless line. We find such amplitude can be split into twoparts and each part of the amplitude is of some correlated spin configurationbetween the two shifted lines. After choosing proper momentum shift scheme, wecan show that each part is constructible directly. Hence, we can obtain ageneral procedure for the amplitudes in QCD by the BCFW recursion relations. Weapply the procedure to several amplitudes as examples. We find such methods arevery efficient when there are many massive external fields in the amplitudes.

Recursion relations for the general tree-level amplitudes in QCD with massive dirac fields