  We propose a new factorization pattern for tree-level Yang-Mills (YM)
amplitudes, where they decompose into a sum of products of two lower-point
amplitudes by setting specific two-point non-planar Mandelstam variables within
a rectangular configuration to zero. This approach manifests the hidden zeros
of YM amplitudes recently identified. Furthermore, by setting specific Lorentz
products involving polarization vectors to zero, the amplitudes further reduce
to a sum of products of three currents. These novel factorizations provide a
fresh perspective on the structure of YM amplitudes, potentially enhancing our
understanding and calculation of these fundamental quantities.
