STR: A Mathematica package for the method of uniqueness

Michelangelo Preti
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Michelangelo Preti: Laboratoire de Physique Théorique, École Normale Supérieure, 24 rue Lhomond 75005 Paris, France2PSL Universités, Sorbonne Universités, UPMC Université Paris 6, CNRS, France

International Journal of Modern Physics C (IJMPC), 2020, vol. 31, issue 10, 1-23

Abstract: We present Star–Triangle Relations (STRs), a Mathematica® package designed to solve Feynman diagrams by means of the method of uniqueness in any Euclidean space-time dimension. The method of uniqueness is a powerful technique to solve multi-loop Feynman integrals in theories with conformal symmetry imposing some relations between the powers of propagators and the space-time dimension. In our algorithm, we include both identities for scalar and Yukawa type integrals. The package provides a graphical environment in which it is possible to draw the desired diagram with the mouse input and a set of tools to modify and compute it. Throughout the use of a graphic interface, the package should be easily accessible to users with little or no previous experience on diagrams computation. This manual includes some pedagogical examples of computation of Feynman graphs as the scalar two-loop kite master integral and a fermionic diagram appearing in the computation of the spectrum of the γ-deformed 𝒩=4 SYM in the double scaling limit.

Keywords: Mathematica package; Feynman integrals; conformal field theories (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1142/S0129183120501466

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