Abstract
We present differential double-copy relations between gluon and graviton
three-point functions in (A)dS$_d+1$. We introduce a set of differential
operators in (A)dS that naturally generalize on-shell kinematics of scattering
amplitudes in flat space. This provides a way to construct (A)dS correlators by
replacing the kinematic variables of amplitudes with the corresponding
differential operators and suitably ordering them. By construction, the
resulting correlators are manifestly conformally invariant, with the correct
flat-space limit, and exhibit a differential double-copy structure.
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