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We study the symbology of planar Feynman integrals in dimensionalregularization by considering geometric configurations in momentum twistorspace corresponding to their leading singularities (LS). Cutting propagators inmomentum twistor space amounts to intersecting lines associated with loop andexternal dual momenta, including the special line associated with the point atinfinity, which breaks dual conformal symmetry. We show that cross-ratios ofintersection points on these lines, especially those on the infinity line,naturally produce symbol letters for Feynman integrals in $D=4-2\epsilon$,which include and generalize their LS. At one loop, we obtain all symbolletters using intersection points from quadruple cuts for integrals up topentagon kinematics with two massive corners, which agree perfectly withcanonical differential equation (CDE) results. We then obtain all two-loopletters, for up to four-mass box and one-mass pentagon kinematics, byconsidering more intersections arising from two-loop cuts. Finally we commenton how cluster algebras appear from this construction, and importantly how wemay extend the method to non-planar integrals.

The symbology of Feynman integrals from twistor geometries