Four-point one-loop nonsupersymmetric pure Yang-Mills amplitudes with theduality between color and kinematics manifest have been constructed in previouswork. Here, we extend the discussion to fermions and scalars circulating in theloop with all external gluons. This gives another nontrivial loop-level exampleshowing that the duality between color and kinematics holds innonsupersymmetric gauge theory. The construction is valid in any spacetimedimension and written in terms of formal polarization vectors. We also convertthese expressions into a four-dimensional form with explicit external helicitystates. Using this, we compare our results to one-loop duality-satisfyingamplitudes that are already present in literature.
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