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

Abstract

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.

arXiv commentthe version accepted by JHEP

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Cited by in corpus (5)

• Berends-Giele currents for extended gravity
• One-loop $N$-point correlators in pure gravity
• Notes on weight-shifting operators and unifying relations for cosmological correlators
• Systematic approach to $\ell$-loop planar integrands from the classical equation of motion
• The off-shell expansion relation of the Yang-Mills scalar theory