One-loop Feynman Integral Reduction by Differential Operators
arXiv:2108.00772 · doi:10.1103/PhysRevD.104.116014
Abstract
For loop integrals, the standard method is reduction. A well-known reduction method for one-loop integrals is the Passarino-Veltman reduction. Inspired by the recent paper [1] where the tadpole reduction coefficients have been solved, in this paper we show the same technique can be used to give a complete integral reduction for any one-loop integrals. The differential operator method is an improved version of the PV-reduction method. Using this method, analytic expressions of all reduction coefficients of the master integrals can be given by algebraic recurrence relation easily. We demonstrate our method explicitly with several examples.
arXiv comment30 pages, no figures
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Cited by in corpus (9)
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- PV-Reduction of Sunset Topology with Auxiliary Vector
- Reduction of General One-loop Integrals Using Auxiliary Vector
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