Same-hemisphere three-gluon-emission contribution to the zero-jettiness soft function at N3LO QCD

Abstract

We complete the calculation of the three-gluon-emission contribution to the same-hemisphere part of the zero-jettiness soft function at next-to-next-to-next-to-leading order in perturbative QCD.

9 pages, 1 appendix

References in corpus (4)

• On the Resolution of Singularities of Multiple Mellin-Barnes Integrals
• Quark and gluon form factors in four-loop QCD
• NNLO zero-jettiness beam and soft functions to higher orders in the dimensional-regularization parameter $\epsilon$
• On phase-space integrals with Heaviside functions

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• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Thrust distribution in Higgs decays up to the fifth logarithmic order
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• The DIS 1-Jettiness Event Shape at N${}^3$LL+$\mathcal{O}({\alpha }_s^2)$
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• Integral of the double-emission eikonal function for a massive and a massless emitter at an arbitrary angle