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The NNLO QCD soft function for 1-jettiness
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We calculate the soft function for the global event variable 1-jettiness at next-to-next-to-leading order (NNLO) in QCD. We focus specifically on the non-Abelian contribution, which, unlike the Abelian part, is not determined by the next-to-leading order result. The calculation uses the known general forms for the emission of one and two soft partons and is performed using a sector-decomposition method that is spelled out in detail. Results are presented in the form of numerical fits to the 1-jettiness soft function for LHC kinematics (as a function of the angle between the incoming beams and the final-state jet) and for generic kinematics (as a function of three independent angles). These fits represent one of the needed ingredients for NNLO calculations that use the N-jettiness event variable to handle infrared singularities.
Forward citations
Cited by 2 Pith papers
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Region analysis of $H\to \gamma \gamma $ via a bottom quark loop
A two-loop region analysis of H to gamma gamma via a bottom quark loop shows that with a Delta regulator and a transverse momentum cut, the leading and next-to-leading logarithms come entirely from the soft sector.
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Triple real-emission contribution to the zero-jettiness soft function at N3LO in QCD
The paper provides the technical derivation and cross-checks of the triple-real-emission piece of the N3LO zero-jettiness soft function, confirming the result announced in arXiv:2409.11042.
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