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Automation of a Matching On-Shell Calculator

2025/05/27 by Javier López Miras, Miras, Javier López, Fuensanta Vilches +1 · 3 citations
Computer Science · Engineering · #Advanced Control Systems Design #Advanced Control Systems Optimization #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Neural Networks and Applications

paper · pdf · doi:10.48550/arxiv.2505.21353

openalex publication_date 2025/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce mosca, a Mathematica package designed to facilitate on-shell calculations in effective field theories (EFTs). This initial release focuses on the reduction of Green's bases to physical bases, as well as transformations between arbitrary operator bases. The core of the package is based on a diagrammatic on-shell matching procedure, grounded in the equivalence of physical observables derived from both redundant and non-redundant Lagrangians. mosca offers a complete set of tools for performing basis transformations, diagram isomorphism detection, numerical substitution of kinematic configurations, and symbolic manipulation of algebraic expressions. Planned future developments include extension to one-loop computations, thus providing support for EFT renormalization directly in a physical basis and automated computation of one-loop finite matching, including contributions from evanescent operators. The package, along with example notebooks and documentation, is available at: https://gitlab.com/matchingonshell/mosca.

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