RGIsearch: A C++ program for the determination of Renormalization Group Invariants

TL;DR

RGIsearch is a C++ tool designed to find renormalization group invariants in quantum field theories, supporting various methods and two-loop calculations, aiding researchers in analyzing RG equations.

Contribution

It introduces a versatile C++ program capable of identifying RG invariants for user-defined equations, including two-loop level computations, with comprehensive documentation.

Findings

Supports multiple types of invariants detection

Handles two-loop level calculations

Provides a detailed user manual and test case

Abstract

RGIsearch is a C++ program that searches for invariants of a user-defined set of renormalization group equations. Based on the general shape of the $\beta$-functions of quantum field theories, RGIsearch searches for several types of invariants that require different methods. Additionally, it supports the computation of invariants up to two-loop level. A manual for the program is given, including the settings and set-up of the program, as well as a test case.