An infinite family of elliptic ladder integrals

A bstract We identify two families of ten-point Feynman diagrams that generalize the elliptic double box, and show they can be expressed in terms same class multiple polylogarithms to all loop orders. Interestingly, one these also written as a d log form. For both diagrams, we provide new 2ℓ-fold integral representations are linearly reducible but variable make above properties manifest. illustrate simplicity this representation by directly integrating three-loop representative diagrams. These satisfy pair second-order differential equations, making them ideal examples on which develop bootstrap techniques involving symbol letters at high