Automatic calculation of supersymmetric renormalization group equations and loop corrections

作者：Staub Florian^*

来源：Computer Physics Communications, 2011, 182(3): 808-833.

DOI：10.1016/j.cpc.2010.11.030

• Supersymmetry
• Model building
• Renormalization group equations
• Representation theory of SU(N)
• Self-energies
• Tadpole equations
• Mathematica
• SARAH
• FeynArts
• CalcHep

SARAH is a Mathematica package for studying supersymmetric models. It calculates for a given model the masses, tadpole equations and all vertices at tree-level. This information can be used by SARAH to write model files for calcHep/CompHep or FeynArts/FormCalc. In addition, the second version of SARAH can derive the renormalization group equations for the gauge couplings, parameters of the superpotential and soft-breaking parameters at one- and two-loop level. Furthermore, it calculates the one-loop self-energies and the one-loop corrections to the tadpoles. SARAH can handle all N = 1 SUSY models whose gauge sector is a direct product of SU(N) and U(1) gauge groups. The particle content of the model can be an arbitrary number of chiral superfields transforming as any irreducible representation with respect to the gauge groups. To implement a new model, the user has just to define the gauge sector, the particle, the superpotential and the field rotations to mass eigenstates.
Program summary
Program title: SARAH
Catalogue identifier: AEIB_v1_0
Program summary URL: http://cpc.cs.qub.ac.uk/summaries/AEIB_vl_0.html
Program obtainable from: CPC Program Library, Queen's University, Belfast, N. Ireland
Licensing provisions: Standard CPC licence, http://cpc.cs.qub.ac.ukilicence/licence.html
No. of lines in distributed program, including test data, etc.: 97 577
No. of bytes in distributed program, including test data, etc.: 2 009 769
Distribution format: tar.gz
Programming language: Mathematica
Computer: All systems that Mathematica is available for
Operating system: All systems that Mathematica is available for
Classification: 11.1, 11.6
Nature of problem: A supersymmetric model is usually characterized by the particle content, the gauge sector and the superpotential. It is a time consuming process to obtain all necessary information for phenomenological studies from these basic ingredients.
Solution method: SARAH calculates the complete Lagrangian for a given model whose gauge sector can be any direct product of SU(N) gauge groups. The chiral superfields can transform as any, irreducible representation with respect to these gauge groups and it is possible to handle an arbitrary number of symmetry breakings or particle rotations. Also the gauge fixing terms can be specified. Using this information. SARAH derives the mass matrices and Feynman rules at tree-level and generates model files for CalcHep/CompHep and FeynArts/FormCalc. In addition, it can calculate the renormalization group equations at one- and two-loop level and the one-loop corrections to the one- and two-point functions.
Unusual features: SARAH just needs the superpotential and gauge sector as input and not the complete
Lagrangian. Therefore, the complete implementation of new models is done in some minutes.
Running time: Measured CPU time for the evaluation of the MSSM on an Intel Q8200 with 2.33 GHz.
Calculating the complete Lagrangian: 12 seconds. Calculating all vertices: 75 seconds. Calculating the one- and two-loop RGEs: 50 seconds. Calculating the one-loop corrections: 7 seconds. Writing a FeynArts file: 1 second. Writing a CalcHep/CompHep file: 6 seconds. Writing the La TeX output: 1 second.

• 出版日期2011-3