GRIFFIN: A C++ library for electroweak radiative corrections in fermion scattering and decay processes

Abstract

This paper describes a modular framework for the description of electroweak scattering and decay processes, including but not limited to Z-resonance physics. The framework consistently combines a complex-pole expansion near a s-channel resonance with a regular fixed-order perturbative description away from the resonance, in a manifestly gauge-invariant scheme. Leading vertex correction contributions are encapsulated in form factors that can be predicted or treated as numerical fit parameters. This framework has been implemented in the publicly available object-oriented C++ library GRIFFIN. Version 1.0 of this library provides Standard Model predictions for the process $f\bar{f}\to f^{\prime }{\bar{f}}^{\prime }$ with full NNLO and leading higher-order contributions on the Z-resonance, and with NLO corrections off resonance. The library can straightforwardly be extended to include higher-order corrections, should they become available, or predictions for new physics models. It can be interfaced with Monte-Carlo programs to account for QED and QCD initial-state and final-state radiation.

22 pages; program code is available for download at https://github.com/lisongc/GRIFFIN/releases; v2: some added explanations, version published in SciPost Phys. Codebases