Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in $e^{+}{e}^{-}$ collisions

Abstract

We present the results of Phase I of an ongoing review of Monte Carlo tools relevant for low-energy hadronic cross sections. This includes a detailed comparison of Monte Carlo codes for electron-positron scattering into a muon pair, pion pair, and electron pair, for scan and radiative-return experiments. After discussing the various approaches that are used and effects that are included, we show differential cross sections obtained with AfkQed, BabaYaga@NLO, KKMC, MCGPJ, McMule, Phokhara, and Sherpa, for scenarios that are inspired by experiments providing input for the dispersive evaluation of the hadronic vacuum polarisation.

arXiv commentRadioMonteCarLow 2 Working Group report Phase I, 67 pages, 34 figures; version accepted for publication in SciPost Physics Community Reports

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• The muon parton distribution functions
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• QED at NNLO and beyond for precision experiments
• CEEX Exponentiation in QED
• Two-loop QED corrections to the scattering of four massive leptons
• Singlet and non-singlet three-loop massive form factors
• Improving methods and predictions at high-energy $e^{+}{e}^{-}$ colliders within collinear factorisation
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