  Four-point one-loop nonsupersymmetric pure Yang-Mills amplitudes with the
duality between color and kinematics manifest have been constructed in previous
work. Here, we extend the discussion to fermions and scalars circulating in the
loop with all external gluons. This gives another nontrivial loop-level example
showing that the duality between color and kinematics holds in
nonsupersymmetric gauge theory. The construction is valid in any spacetime
dimension and written in terms of formal polarization vectors. We also convert
these expressions into a four-dimensional form with explicit external helicity
states. Using this, we compare our results to one-loop duality-satisfying
amplitudes that are already present in literature.
