PyR@TE: Renormalization group equations for general gauge theories

详细信息    查看全文

• 作者：F. Lyonnet ; I. Schienbein ; F. Staub ; A. Wingerter
• 关键词：Renormalization group equations ; Quantum field theory ; Running coupling constants ; Model building ; Physics beyond the standard model
• 刊名：Computer Physics Communications
• 出版年：March, 2014
• 年：2014
• 卷：185
• 期：3
• 页码：1130-1152
• 全文大小：519 K

文摘

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 鈥淧ython Renormalization group equations At Two-loop for Everyone鈥? 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聽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.

class="h4">Program summary

Program title: PyR@TE

Catalogue identifier: AERV_v1_0

Program summary URL:

Program obtainable from: CPC Program Library, Queen鈥檚 University, Belfast, N. Ireland

Licensing provisions: Standard CPC licence,

No. of lines in distributed program, including test data, etc.: 924959

No. of bytes in distributed program, including test data, etc.: 495197

Distribution format: tar.gz

Programming language: Python.

Computer: Personal computer.

Operating system: Tested on Fedora 15, MacOS 10 and 11, Ubuntu 12.

Classification: 11.1.

External routines: SymPy, PyYAML, NumPy, IPython, SciPy

Nature of problem:

Deriving the renormalization group equations for a general quantum field theory.

Solution method:

Group theory, tensor algebra

Running time:

Tens of seconds per model (one-loop), tens of minutes (two-loop)