Three-loop rapidity anomalous dimension for jet-veto cross sections
Abstract
We present the first calculation of the third-order corrections to the rapidity anomalous dimension for jet-veto cross sections. This is a crucial ingredient for the resummation of these scattering observables in key processes such as colour-singlet and heavy-quark-pair production at hadron colliders. More precisely, our results enable the next-to-next-to-next-to-leading logarithmic (N3LL) resummation of the jet-veto cross section for colour singlet production at the LHC, with immediate phenomenological relevance. The anomalous dimension is extracted from a calculation of the three-loop soft function in soft-collinear effective field theory, and is presented as a function of the jet radius R for the clustering algorithms of the generalised-kt family. To handle the complexity associated with the clustering algorithm, we formulate a semi-numerical computational approach. This strategy is itself a result of the paper, and can be extended to the calculation of other anomalous dimensions and soft functions at three loops.
Related
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- Unveiling QCD Criticality with Cross-Rapidity Net-Baryon Cumulants
- New results for the 4-loop massive cusp anomalous dimension
BibTeX
@misc{abreu2026threeloop,
title = {{Three-loop rapidity anomalous dimension for jet-veto cross sections}},
author = {Samuel Abreu and Jonathan R. Gaunt and Pier Francesco Monni and Luca Rottoli and Robert Szafron},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.03472},
eprint = {2610.03472},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.03472},
}
RIS
TY - UNPB
TI - Three-loop rapidity anomalous dimension for jet-veto cross sections
AU - Samuel Abreu
AU - Jonathan R. Gaunt
AU - Pier Francesco Monni
AU - Luca Rottoli
AU - Robert Szafron
PY - 2026
DA - 2026/10/02
PB - arXiv
DO - 10.48550/arxiv.2610.03472
UR - https://arxiv.org/abs/2610.03472
AB - We present the first calculation of the third-order corrections to the rapidity anomalous dimension for jet-veto cross sections. This is a crucial ingredient for the resummation of these scattering observables in key processes such as colour-singlet and heavy-quark-pair production at hadron colliders. More precisely, our results enable the next-to-next-to-next-to-leading logarithmic (N^3LL) resummation of the jet-veto cross section for colour singlet production at the LHC, with immediate phenomenological relevance. The anomalous dimension is extracted from a calculation of the three-loop soft function in soft-collinear effective field theory, and is presented as a function of the jet radius R for the clustering algorithms of the generalised-k_t family. To handle the complexity associated with the clustering algorithm, we formulate a semi-numerical computational approach. This strategy is itself a result of the paper, and can be extended to the calculation of other anomalous dimensions and soft functions at three loops.
ER -