The double-real part of NNLO matching with logarithmically accurate showers for e+e- collisions
Abstract
We discuss key principles that need to be taken into account for higher-order matching to retain the logarithmic accuracy of parton showers, specifically in a context where the matching takes full responsibility for the first n emissions. Failure to respect these principles breaks exponentiation and generates spurious leading-colour super-leading logarithms. Focusing on e+e- collisions, and the PanScales showers, we construct a matching procedure that incorporates the leading-colour double-real, 𝒪(αs2), contributions. It relies on new expressions for the inversion of these showers for any number of emissions, and extends techniques developed recently for the higher-order infrared limits of showers. Together, these ingredients allow us to use our showers as full phase-space generators. Our work establishes an important stepping stone towards logarithmically accurate NNLO matching.
Related
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BibTeX
@misc{beekveld2026doublereal,
title = {{The double-real part of NNLO matching with logarithmically accurate showers for $e^+e^-$ collisions}},
author = {Melissa van Beekveld and Keith Hamilton and Gavin P. Salam and Nicolas Schalch and Gregory Soyez and Silvia Zanoli},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.37749},
eprint = {2610.37749},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.37749},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The double-real part of NNLO matching with logarithmically accurate showers for e^+e^- collisions
AU - Melissa van Beekveld
AU - Keith Hamilton
AU - Gavin P. Salam
AU - Nicolas Schalch
AU - Gregory Soyez
AU - Silvia Zanoli
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2610.37749
UR - https://arxiv.org/abs/2610.37749
AB - We discuss key principles that need to be taken into account for higher-order matching to retain the logarithmic accuracy of parton showers, specifically in a context where the matching takes full responsibility for the first n emissions. Failure to respect these principles breaks exponentiation and generates spurious leading-colour super-leading logarithms. Focusing on e^+e^- collisions, and the PanScales showers, we construct a matching procedure that incorporates the leading-colour double-real, 𝒪(α_s^2), contributions. It relies on new expressions for the inversion of these showers for any number of emissions, and extends techniques developed recently for the higher-order infrared limits of showers. Together, these ingredients allow us to use our showers as full phase-space generators. Our work establishes an important stepping stone towards logarithmically accurate NNLO matching.
ER -