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General One-loop Generating Function by IBP relations
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In this paper we have studied the most general generating function of reduction for one loop integrals with arbitrary tensor structure in numerator and arbitrary power distribution of propagators in denominator. Using IBP relations, we have established the partial differential equations for these generating functions and solved them analytically. These results provide useful guidance for applying generating function method to reductions of higher loop integrals.
Forward citations
Cited by 2 Pith papers
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Tensor Reduction of Sunset by Generating Function
A complete set of recurrence relations is derived to reduce any tensor integral of the sunset diagram to seven master integrals, using generating functions supplemented by syzygy equations.
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Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function
A rational, recursion-free expression for one-loop tensor reduction coefficients with Lorentz indices is given, built from a small set of tensor building blocks.
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