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Article
Open AccessMuon-electron scattering at NNLO
We present the first calculation of the complete set of NNLO QED corrections for muon-electron scattering. This includes leptonic, non-perturbative hadronic, and photonic contributions. All fermionic correctio...
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Article
Open AccessTheory for muon-electron scattering @ 10 ppm
We review the current status of the theory predictions for elastic \(\mu \)μ-e scattering, describing the recent activities and future plans of the theory initiative related to the proposed MUonE experiment.
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Article
Open AccessTo \({d}\) , or not to \({d}\) : recent developments and comparisons of regularization schemes
We give an introduction to several regularization schemes that deal with ultraviolet and infrared singularities appearing in higher-order computations in quantum field theories. Comparing the computation of si...
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Article
Open AccessOn the four-dimensional formulation of dimensionally regulated amplitudes
Elaborating on the four-dimensional helicity scheme, we propose a pure four-dimensional formulation (FDF) of the \(d\) ...
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Article
Open AccessScattering amplitudes from unitarity-based reduction algorithm at the integrand-level
samurai is a tool for the automated numerical evaluation of one-loop corrections to any scattering amplitudes within the dimensional-regularization scheme. It is based on the decomposition of the integrand accord...
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Article
Quest for precision in hadronic cross sections at low energy: Monte Carlo tools vs. experimental data
We present the achievements of the last years of the experimental and theoretical groups working on hadronic cross section measurements at the low-energy e + e ...
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Article
Heavy quark vacuum polarization: first two moments of the \({\mathcal{O}}(\alpha_s^3 n_f^2)\) contribution
The vacuum polarization due to a virtual heavy quark pair and specifically the coefficients of its Taylor expansion in the external momentum are closely related to moments of the cross section for quark-antiqu...