Computer algebra calculations in supersymmetric electrodynamics

Abstract

We propose a new symbolic algorithm and a C++ program for generating and calculating supersymmetric Feynman diagrams for $\mathcal{N}=1$ supersymmetric electrodynamics regularized by higher derivatives in four dimensions. According to standard rules, the program generates all diagrams that are necessary to calculate a specific contribution to the two-point Green function of matter superfields in the needed order, and then reduces the answer to the sum of Euclidean momentum integrals. At the moment, the program was used to calculate the anomalous dimension in $\mathcal{N}=1$ supersymmetric quantum electrodynamics, regularized by higher derivatives, in the three-loop approximation.

arXiv comment14 pages, 1 figure, accepted for publication in "Programming and Computer Software"

References in corpus (29)

• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• Event generation with SHERPA 1.1
• Herwig++ Physics and Manual
• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• CalcHEP 3.4 for collider physics within and beyond the Standard Model
• MadEvent: Automatic Event Generation with MadGraph
• WHIZARD: Simulating Multi-Particle Processes at LHC and ILC
• FeynCalc 9.3: New features and improvements
• CompHEP 4.4 - Automatic Computations from Lagrangians to Events
• LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals
• Kira - A Feynman Integral Reduction Program
• Reduze - Feynman Integral Reduction in C++
• FIRE6: Feynman Integral REduction with Modular Arithmetic
• The Implementation of the Minimal Supersymmetric Standard Model in FeynArts and FormCalc
• Automatic Integral Reduction for Higher Order Perturbative Calculations
• GoSam-2.0: a tool for automated one-loop calculations within the Standard Model and beyond
• FIESTA 4: optimized Feynman integral calculations with GPU support
• SecDec-3.0: numerical evaluation of multi-scale integrals beyond one loop
• A field-theory motivated approach to symbolic computer algebra
• PHEGAS: a phase-space generator for automatic cross-section computation
• Progress in FDC Project
• The NSVZ beta-function in supersymmetric theories with different regularizations and renormalization prescriptions
• $\text{tapir}$: A tool for topologies, amplitudes, partial fraction decomposition and input for reductions
• GiNaC - Symbolic computation with C++
• Three-loop verification of a new algorithm for the calculation of a $\beta$-function in supersymmetric theories regularized by higher derivatives for the case of $\mathcal{N}=1$ SQED
• Three-loop calculations in non-Abelian gauge theories
• The three-loop anomalous dimension and the four-loop $\beta$-function for $\mathcal{N}=1$ SQED regularized by higher derivatives
• HepLib: A C++ Library for High Energy Physics
• Automated calculations for massive fermion production with aITALC

Cited by in corpus (1)

• The four-loop $\beta$-function from vacuum supergraphs and the NSVZ relation for $\mathcal{N}=1$ SQED regularized by higher derivatives