  In this work, we extend the construction of dual color decomposition in
Yang-Mills theory to one-loop level, i.e., we show how to write one-loop
integrands in Yang-Mills theory to the dual DDM-form and the dual trace-form.
In dual forms, integrands are decomposed in terms of color-ordered one-loop
integrands for color scalar theory with proper dual color coefficients.In dual
DDM decomposition, The dual color coefficients can be obtained directly from
BCJ-form by applying Jacobi-like identities for kinematic factors. In dual
trace decomposition, the dual trace factors can be obtained by imposing
one-loop KK relations, reflection relation and their relation with the
kinematic factors in dual DDM-form.
