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FeynOnium: using FeynCalc for automatic calculations in Nonrelativistic Effective Field Theories

Brambilla, Nora; Chung, Hee Sok; Shtabovenko, Vladyslav; Vairo, Antonio

Abstract:
We present new results on FEYNONIUM, an ongoing project to develop a general purpose software toolkit for semi-automatic symbolic calculations in nonrelativistic Effective Field Theories (EFTs). Building upon FEYNCALC, an existing MATHEMATICA package for symbolic evaluation of Feynman diagrams, we have created a powerful framework for automatizing calculations in nonrelativistic EFTs (NREFTs) at tree- and 1-loop level. This is achieved by exploiting the novel features of FEYNCALC that support manipulations of Cartesian tensors, Pauli matrices and nonstandard loop integrals. Additional operations that are common in nonrelativistic EFT calculations are implemented in a dedicated add-on called FEYNONIUM. While our current focus is on EFTs for strong interactions of heavy quarks, extensions to other systems that admit a nonrelativistic EFT description are planned for the future. All our codes are open-source and publicly available. Furthermore, we provide several example calculations that demonstrate how FEYNONIUM can be employed to reproduce known results from the literature.

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Verlagsausgabe §
DOI: 10.5445/IR/1000129745
Veröffentlicht am 16.02.2021
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Theoretische Teilchenphysik (TTP)
Publikationstyp Zeitschriftenaufsatz
Publikationsmonat/-jahr 11.2020
Sprache Englisch
Identifikator ISSN: 1029-8479
KITopen-ID: 1000129745
Erschienen in Journal of high energy physics
Verlag Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Band 2020
Heft 11
Seiten 130
Vorab online veröffentlicht am 25.11.2020
Nachgewiesen in Scopus
Web of Science
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