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Zero-jettiness soft function to third order in perturbative QCD

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arxiv 2409.11042 v1 pith:SQNIUQWH submitted 2024-09-17 hep-ph hep-th

Daniel Baranowski , Maximilian Delto , Kirill Melnikov , Andrey Pikelner , Chen-Yu Wang This is my paper · ORCID
classification hep-phhep-th
keywords functionordersoftzero-jettinessperturbativevariablecolourn3lo
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We present the high-precision result for the zero-jettiness soft function at next-to-next-to-next-to-leading order (N3LO) in perturbative QCD. At this perturbative order, the soft function is the last missing ingredient required for the computation of a hadronic colour singlet production or a colour singlet decay into two jets using the zero-jettiness variable as the slicing parameter. Furthermore, the knowledge of the N3LO soft function enables the re-summed description of the thrust distribution in the process $e^+ e^- \to \textrm{hadrons}$ through next-to-next-to-next-to-leading logarithmic order, which is important for the extraction of the strong coupling constant using this shape variable. On the methodological side, the complexity of the zero-jettiness variable forced us to develop a new semi-analytic method for phase-space integration in the presence of constraints parameterized through Heaviside functions which, hopefully, will be useful for further development of the $N$-jettiness slicing scheme.

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Cited by 10 Pith papers

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