We present for the first time a quantitative
analysis of multiple gluon emission in hard
scattering events in the soft and collinear
emission limit. These calculations specifically
include the non-trivial, non-Abelian QCD
corrections. We base our numerics on derivations
using the spinor helicity formalism, a natural framework for
evaluating tree-level Feynman diagrams in $3+1$
dimensional quantum field theories of massless
fermions. We employ, in particular, the novel
maximal helicity violating (MHV) techniques and the
Britto–Cachazo–Feng–Witten (BCFW) recursion
relation, to go beyond 2
gluon emission associated with hard scattering in
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