The calculation of threshold corrections to hard scattering cross sections beyond leading logarithms requires the calculation of loop diagrams in the eikonal approximation [1]. One-loop calculations have been performed for all 2 → 2 partonic processes in heavy quark [2] and jet [3] production. The soft anomalous dimension matrix ΓS at one-loop allows the resummation of soft-gluon corrections at...

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. illust...

It is well known that forward limits of tree-level amplitudes (and those trivalent diagrams they consist of) produce one-loop and with propagators linear in the loop momentum. They naturally arise from worldsheet formulae, an important open problem how to recombine them into usual quadratic propagators. In this paper, we study a new collection functions: generalized Parke-Taylor factors tensor ...