Wolfram Library Archive

Courseware Demos MathSource Technical Notes
All Collections Articles Books Conference Proceedings

PyR@TE Renormalization group equations for general gauge theories

F. Lyonnet
Organization: Laboratoire de Physique Subatomique et de Cosmologie
I. Schienbein
Organization: Laboratoire de Physique Subatomique et de Cosmologie
F. Staub
Organization: Bethe Center for Theoretical Physics & Physikalisches Institut der Universität Bonn
A. Wingerter
Organization: Laboratoire de Physique Subatomique et de Cosmologie
Journal / Anthology

Computer Physics Communications
Year: 2014
Volume: 185
Issue: 3
Page range: 1130-1152

Although the two-loop renormalization group equations for a general gauge field theory have been known for quite some time, deriving them for specific models has often been difficult in practice. This is mainly due to the fact that, albeit straightforward, the involved calculations are quite long, tedious and prone to error. The present work is an attempt to facilitate the practical use of the renormalization group equations in model building. To that end, we have developed two completely independent sets of programs written in Python and Mathematica, respectively. The Mathematica scripts will be part of an upcoming release of SARAH 4. The present article describes the collection of Python routines that we dubbed PyR@TE which is an acronym for ‘‘Python Renormalization group equations At Two-loop for Everyone’’. In PyR@TE, once the user specifies the gauge group and the particle content of the model, the routines automatically generate the full two-loop renormalization group equations for all (dimensionless and dimensionful) parameters. The results can optionally be exported to LATEX and Mathematica, or stored in a Python data structure for further processing by other programs. For ease of use, we have implemented an interactive mode for PyR@TE in form of an IPython Notebook. As a first application, we have generated with PyR@TE the renormalization group equations for several non-supersymmetric extensions of the Standard Model and found some discrepancies with the existing literature.

*Science > Physics

Translate this page: