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An explicit expression of generating function for one-loop tensor reduction

delete2024-02-21
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OA
AI
C
Chang Hu
T
Tingfei Li
J
Jiyuan Shen *
Y
Yongqun Xu
DOI:10.1007/JHEP02(2024)158delete
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Abstract

Abstract

En 中文
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.
Keywords:
Higher-Order Perturbative Calculations
Field Theories in Higher Dimensions
Scattering Amplitudes

Journal

Journal of High Energy Physics cover
Journal of High Energy Physics
IF:
5.5
Papers:
4.0W
Citations:
13.7W

Organization

I
institute of theoretical physics, cas
Scholars:
482
Papers: 455
Citations: 0
C
chinese academy of sciences
Scholars:
56.7W
Papers: 45.0W
Citations: 704
Z
zhejiang university
Scholars:
17.7W
Papers: 12.1W
Citations: 152
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Cited Papers

Cited Papers

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A novel approach to integration by parts reduction
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Decomposition of Feynman integrals by multivariate intersection numbers
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errFrellesvig, Hjalte; Gasparotto, Federico; Laporta, Stefano; Mandal, Manoj K.; Mastrolia, Pierpaolo; Mattiazzi, Luca; Mizera, Sebastian
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One-loop amplitudes on the Riemann sphere
err2016-03-16
err123
errOAAI
errGeyer, Yvonne; Mason, Lionel; Monteiro, Ricardo; Tourkine, Piotr
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Integral reduction with Kira 2.0 and finite field methods
err2021-09-01
err167
errOAAI
errKlappert, Jonas; Lange, Fabian; Maierhoefer, Philipp; Usovitsch, Johann
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