Abstract
The antenna subtraction method has achieved remarkable success in various processes relevant to the Large Hadron Collider. In Reference [1], an algorithm was proposed for constructing real-radiation antenna functions for electron-positron annihilation, directly from specified unresolved limits, accommodating any number of real emissions. Here, we extend this algorithm to build antennae involving partons in the initial state, specifically the initial-final and initial-initial antennae. Using this extended algorithm, we explicitly construct all NLO QCD antenna functions and compare them with previously extracted antenna functions derived from matrix elements. Additionally, we rigorously match the integration of the antenna functions over the initial-final and initial-initial unresolved phase space with the previous approach, providing an independent validation of our results. The improved antenna functions are more compact and reduced in number, making them more readily applicable for higher-order calculations.
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Acknowledgments
We thank Oscar Braun-White, Xuan Chen, Aude Gehrmann-De Ridder, Thomas Gehrmann, Matteo Marcoli and Christian Preuss for enlightening discussions and helpful advice. We thank the University of Zurich, and especially Thomas Gehrmann and his research group for their kind hospitality, while visiting the University of Zurich. This visit was supported in part by the Pauli Center for Theoretical Studies, in part by the UK Science and Technology Facilities Council under contract ST/T001011/1 and in part by the Swiss National Science Foundation under contract 200021-197130.
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Fox, E., Glover, N. Initial-final and initial-initial antenna functions for real radiation at next-to-leading order. J. High Energ. Phys. 2023, 171 (2023). https://doi.org/10.1007/JHEP12(2023)171
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DOI: https://doi.org/10.1007/JHEP12(2023)171