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Manuscript Title: RGIsearch: A C++ program for the determination of Renormalization Group Invariants
Authors: Rob Verheyen
Program title: RGIsearch
Catalogue identifier: AEZQ_v1_0
Distribution format: tar.gz
Journal reference: Comput. Phys. Commun. 202(2016)351
Programming language: C++.
Computer: Desktop PC.
Operating system: Linux.
RAM: Ranging from several MB to several GB
Keywords: Renormalization, Computer Algebra, Sparse Linear Systems.
Classification: 2.9, 4.8, 5.

Nature of problem:
The determination of renormalization group invariants, which can be used as a probe for the high-energy behaviour of theories in particle physics.

Solution method:
Several types of invariants are considered based on the general shape of the renormalization group equations. The problem of computing these invariants is then reduced to creating and solving very large systems of linear equations or generalized eigenvalue problems. Using the specific sparsity structure of these systems, the systems can be solved.

Since the algorithms that solve the linear systems and generalized eigenvalue problems are very efficient, the main restriction is the amount of available RAM, where the systems are stored. The program supports polynomial renormalization group equations, which are typical particle physics, up to two-loop order.

Running time:
Ranging from seconds to minutes