  In this talk we show that dual conformal symmetry has unexpected applications
to Feynman integrals in dimensional regularization. Outside $4$ dimensions, the
symmetry is anomalous, but still preserves the unitarity cut surfaces. This
generally leads to differential equations whose RHS is proportional to $(d-4)$
and has no doubled propagators. The stabilizer subgroup of the conformal group
leads to integration-by-parts (IBP) relations without doubled propagators. The
above picture also suggested hints that led us to find a nonplanar analog of
dual conformal symmetry.
