  Recently, Arkani-Hamed et al. proposed the existence of zeros in scattering
amplitudes in certain quantum field theories including the cubic adjoint scalar
theory Tr($\phi^3$), the $SU(N)$ non-linear sigma model (NLSM) and Yang-Mills
(YM) theory. These hidden zeros are special kinematic points where the
amplitude vanishes and factorizes into a product of lower-point amplitudes,
similar to factorization near poles. In this letter, we show a close connection
between the existence of such zeros and color-kinematics duality. In fact, all
zeros can be derived from the Bern-Carrasco-Johansson (BCJ) relations. We also
show that these zeros extend via the Kawai-Lewellen-Tye (KLT) relations to
special Galileon amplitudes and their corrections, evincing that these hidden
zeros are also present in permutation-invariant amplitudes.
