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- W2995551567 abstract "In a recent paper by the author (Chen in JHEP 02:115, 2020), the reduction of Feynman integrals in the parametric representation was considered. Tensor integrals were directly parametrized by using a generator method. The resulting parametric integrals were reduced by constructing and solving parametric integration-by-parts (IBP) identities. In this paper, we furthermore show that polynomial equations for the operators that generate tensor integrals can be derived. Based on these equations, two methods to reduce tensor integrals are developed. In the first method, by introducing some auxiliary parameters, tensor integrals are parametrized without shifting the spacetime dimension. The resulting parametric integrals can be reduced by using the standard IBP method. In the second method, tensor integrals are (partially) reduced by using the technique of Grobner basis combined with the application of symbolic rules. The unreduced integrals can further be reduced by solving parametric IBP identities." @default.
- W2995551567 created "2019-12-26" @default.
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- W2995551567 date "2021-03-01" @default.
- W2995551567 modified "2023-10-18" @default.
- W2995551567 title "Reduction of Feynman integrals in the parametric representation II: reduction of tensor integrals" @default.
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- W2995551567 doi "https://doi.org/10.1140/epjc/s10052-021-09036-5" @default.
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