Abstract
This work introduces an explicit expression for the generating function for the reduction of an n-gon to an (n – k)-gon. A novel recursive relation of generating function is formulated based on Feynman Parametrization in projective space, involving a single ordinary differential equation. The explicit formulation of generating functions provides crucial insights into the complex analytic structure inherent in loop amplitudes.
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Acknowledgments
We would like to thank Prof. Dr. Bo Feng, Dr. Jiaqi Chen and Mr. Xiang Li for useful discussion. We are also grateful to Prof. Dr. Johannes Bluemlein for providing valuable feedback on this paper.
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Hu, C., Li, T., Shen, J. et al. An explicit expression of generating function for one-loop tensor reduction. J. High Energ. Phys. 2024, 158 (2024). https://doi.org/10.1007/JHEP02(2024)158
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DOI: https://doi.org/10.1007/JHEP02(2024)158