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PreprintCC BY 4.0arXiv

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.

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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  -