Higher-order corrections in threshold resummation Original Research Article

We extend the threshold resummation exponents image in Mellin-N space to the fourth logarithmic (N3LL) order collecting the terms image to all orders in the strong coupling constant image. Comparing the results to our previous three-loop calculations for deep-inelastic scattering (DIS), we derive the universal coefficients image and image governing the final-state jet functions to order image, extending the previous quark and gluon results by one and two orders. A curious relation is found at second order between these quantities, the splitting functions and the large-angle soft emissions in Drell–Yan type processes. We study the numerical effect of the N3LL corrections using both the fully exponentiated form and the expansion of the coefficient function in towers of logarithms.