Tensor reduction of sunset by generating function
Abstract
Abstract Recently, the generating function has been proposed as an alternative reduction method. This method has been tested at the one-loop level, including the tensor reduction and propagators with higher powers. In this work, we initiate the study of the method for higher loops by focusing on the sunset diagram, which is the simplest nontrivial two-loop integral. By employing Passarino–Veltman (PV) reduction equations together with syzygy equations, we construct a complete system of differential equations. Through series expansion, we derive a complete set of recurrence relations, which can efficiently reduce any high-rank tensor structure
Fields of Study & Subjects
Tensor decomposition and applications
Polynomial and algebraic computation
Model Reduction and Neural Networks
Publication details
- Journal / source
- The European Physical Journal C
- Publisher
- Springer Science and Business Media LLC
- Volume
- 86
- Issue
- 7
- Publication date
- 12 July 2026
- Language
- EN