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.

arXiv comment9 pages, 1 appendix

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• 50 Years of Quantum Chromodynamics
• Les Houches 2021: Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
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• The NNLO soft function for N-jettiness in hadronic collisions
• Refining the GENEVA method for Higgs boson production via gluon fusion
• Zero-jettiness soft function to third order in perturbative QCD
• Double-Real-Virtual and Double-Virtual-Real Corrections to the Three-Loop Thrust Soft Function
• 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
• One-loop corrections to the double-real emission contribution to the zero-jettiness soft function at N3LO in QCD
• The DIS 1-Jettiness Event Shape at N${}^3$LL+$\mathcal{O}({\alpha }_s^2)$
• Region analysis of $H\to \gamma \gamma$ via a bottom quark loop
• Integral of the double-emission eikonal function for a massive and a massless emitter at an arbitrary angle