Abstract
Following the spirit of the S-matrix program, we propose a modified Britto–Cachazo–Feng–Witten recursion relation for tree amplitudes of noncommutative U(N) Yang–Mills theory. Starting from three-point amplitudes, one can use this modified BCFW recursion relation to compute or analyze color-ordered tree amplitudes without relying on any detailed information of noncommutative Yang–Mills theory. After clarifying the color structure of noncommutative tree amplitudes, we write down the noncommutative analogies of Kleiss–Kuijf and Bern–Carrasco–Johansson relations for color-ordered tree amplitudes and prove them using the modified BCFW recursion relation. This checks the consistency of the relation.
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