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Differential Operators and Unifying Relations for 1-loop Feynman Integrands from Berends-Giele Currents

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arxiv 2301.08043 v3 pith:P2JE4ES2 submitted 2023-01-19 hep-th gr-qc

classification hep-thgr-qc
keywords relationstheoryunifyingberends-gielecurrentsdifferentialfeynmanintegrands
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Our work focuses on utilizing the Berends-Giele currents to construct differential operators and unifying relations for 1-loop Feynman integrands. We successfully reproduce the known results for the unifying relations between Yang-Mills theory and Yang-Mills scalar theory, and extend the discussion to the (A)dS case for the scalar theory with minimal coupling to gluons.

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Cited by 1 Pith paper

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  1. Recursion for Differential Cross-Section from the Optical Theorem

    hep-ph 2024-12 conditional novelty 6.0 of 10

    A recursive framework built on the optical theorem and a doubled-field action computes differential cross-sections directly, reproducing known tree-level 2 to 2 and 2 to 4 phi^4 results.

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