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arXiv · 2308.13336

An Explicit Expression of Generating Function for One-Loop Tensor Reduction

Chang Hu·Tingfei Li·Jiyuan Shen·Yongqun Xu
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Abstract

This work introduces an explicit expression for the generation function for the reduction of an $n$-gon to an $(n-k)$-gon. A novel recursive relation of generation function is formulated based on Feynman Parametrization in projective space, involving a single ordinary differential equation. The explicit formulation of generation functions provides crucial insights into the complex analytic structure inherent in loop amplitudes.

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Chang Hu, Tingfei Li, Jiyuan Shen, Yongqun Xu. 2023-08-25. An Explicit Expression of Generating Function for One-Loop Tensor Reduction. https://arxiv.org/abs/2308.13336

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