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

TL;DR

GRIFFIN is a C++ library that offers a modular, gauge-invariant framework for electroweak radiative corrections in fermion scattering and decay, enabling precise Standard Model predictions near and off Z-resonance.

Contribution

It introduces a novel, modular C++ library that combines complex-pole and fixed-order approaches for electroweak corrections, with full NNLO accuracy on the Z-resonance.

Findings

Provides Standard Model predictions for fermion scattering with NNLO accuracy

Includes a flexible framework for higher-order and new physics corrections

Can be integrated with Monte Carlo programs for comprehensive simulations

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 $f\bar{f} \to f'\bar{f}'$ 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.