The paper provides the complete three-loop singular subtraction terms for qT and 0-jettiness and derives the first threshold predictions for the three-loop beam-function coefficients, later confirmed by direct calculation.
Joint transverse momentum and threshold resummation beyond NLL
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abstract
To describe the transverse momentum spectrum of heavy color-singlet production, the joint resummation of threshold and transverse momentum logarithms is investigated. We obtain factorization theorems for various kinematic regimes valid to all orders in the strong coupling, using Soft-Collinear Effective Theory. We discuss how these enable resummation and how to combine regimes. The new ingredients in the factorization theorems are calculated at next-to-leading order, and a range of consistency checks is performed. Our framework goes beyond the current next-to-leading logarithmic accuracy (NLL).
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A Toolbox for $q_T$ and $0$-Jettiness Subtractions at N$^3$LO
The paper provides the complete three-loop singular subtraction terms for qT and 0-jettiness and derives the first threshold predictions for the three-loop beam-function coefficients, later confirmed by direct calculation.