We extend the threshold resummation exponents GN in Mellin-N space to the fourth logarithmic (N3LL) order collecting the terms αs2(αs ln N)n to all orders in the strong coupling constant αs. Comparing the results to our previous three-loop calculations for deep-inelastic scattering (DIS), we derive the universal coefficients Bq and Bg governing the final-state jet functions to order αs3, 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. © 2005 Elsevier B.V. All rights reserved.
CITATION STYLE
Moch, S., Vermaseren, J. A. M., & Vogt, A. (2005). Higher-order corrections in threshold resummation. Nuclear Physics B, 726(1–2), 317–335. https://doi.org/10.1016/j.nuclphysb.2005.08.005
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