RGE plus plus : A C plus plus library to solve renormalisation group equations in quantum field theory

In recent years three-, four-and five-loop beta functions have been computed for various phenomeno-logically interesting models. However, most of these results have not been implemented in easy to use software packages. RGE++ bridges this gap by providing a flexible, template-based, C++ library to solve renormalisation group equations. Furthermore, we implement the available beta functions for the Standard Model, the minimal supersymmetric extension of the Standard Model and two-Higgs-doublet models, as well as right-handed neutrino extensions of the former two. Program summary Program Title: RGE++ CPC Library link to program files: https://doi .org /10 .17632 /c9xmrzg46b .1 Developer's repository link: www.github .com /Herren /RGEpp Licensing provisions: MIT Programming language: C++ Nature of problem: Values of coupling constants in dimensionally regularized quantum field theories depend on the chosen renormalization scale mu. The change of coupling constants w.r.t a change of mu is encoded in coupled first-order differential equations. RGE++ provides routines for solving these differential equations in the Standard Model and selected models beyond it. Furthermore, it provides templates for the implementation of additional models. Solution method: RGE++ is implemented as a set of C++ template classes. To numerically solve the differential equations, we employ Eigen3 [1] and odeint [2]. Furthermore, various additional C++ routines are implemented to extract physical quantities from Yukawa matrices. Additional comments including restrictions and unusual features: For non-physical choices of the coupling constants Landau poles might occur. (C) 2021 Elsevier B.V. All rights reserved.

Automated summary

RGE++ is a flexible, template-based C++ library for solving renormalisation group equations, with implementations available for the Standard Model, minimal supersymmetric extension of the Standard Model, two-Higgs-doublet models, and right-handed neutrino extensions. It provides numerical solutions using Eigen3 and odeint, as well as templates for additional models.