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Two-loop anomalous dimensions of generic dijet soft functions
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We present compact integral representations for the calculation of two-loop anomalous dimensions for a generic class of soft functions that are defined in terms of two light-like Wilson lines. Our results are relevant for the resummation of Sudakov logarithms for e+ e- event-shape variables and inclusive hadron-collider observables at next-to-next-to-leading logarithmic accuracy within Soft-Collinear Effective Theory (SCET). Our formalism applies to both SCET-1 and SCET-2 soft functions and we clarify the relation between the respective soft anomalous dimension and the collinear anomaly exponent. We confirm existing two-loop results for about a dozen dijet soft functions and obtain new predictions for the angularity event shape and the soft-drop jet-grooming algorithm.
Forward citations
Cited by 2 Pith papers
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Precision $e^+e^-$ Hemisphere Masses in the Dijet Region with Power Corrections
N3LL' resummation for heavy jet and dihemisphere masses in the dijet region, with a new claim that heavy jet mass moments require an extra non-perturbative parameter at order 1/Q.
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NNLO soft functions for heavy-quark pair production at hadron colliders
The paper delivers the first NNLO 0-jettiness soft function for hadronic top-quark pair production and generalises SoftSERVE to massive quarks.
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