Abstract
We compute the N-jettiness soft function in hadronic collisions to next-to-next-to-leading order (NNLO) in the strong-coupling expansion. Our calculation is based on an extension of the SoftSERVE framework to soft functions that involve an arbitrary number of lightlike Wilson lines. We present numerical results for 1-jettiness and 2-jettiness, and illustrate that our formalism carries over to a generic number of jets by calculating a few benchmark points for 3-jettiness. We also perform a detailed analytic study of the asymptotic behaviour of the soft-function coefficients at the edges of phase space, where one of the jets becomes collinear to another jet or beam direction, and comment on previous calculations of the N-jettiness soft function.
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Acknowledgments
We are grateful to Frank Tackmann for discussions regarding the results in [20]. The research of G.B. was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under grant 396021762 — TRR 257. R.R. is supported by the Royal Society through Grant URF\R1\201500, and acknowledges prior funding through the ERC grant ERC-STG-2015-677323 and the NWO projectruimte 680-91-12, as well as the SNSF grant CRSII2_160814. The work of B.D. has partially been funded by the Helmholtz Association Grant W2/W3-116 and the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant agreement No. 101002090 COLORFREE). We thank the Erwin-Schrödinger International Institute for Mathematics and Physics at the University of Vienna for partial support during the Programme “Quantum Field Theory at the Frontiers of the Strong Interactions”, July 31 – September 1, 2023.
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ArXiv ePrint: 2312.11626
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Bell, G., Dehnadi, B., Mohrmann, T. et al. The NNLO soft function for N-jettiness in hadronic collisions. J. High Energ. Phys. 2024, 77 (2024). https://doi.org/10.1007/JHEP07(2024)077
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DOI: https://doi.org/10.1007/JHEP07(2024)077