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In this paper, we introduce a simple and efficient approach for the generalreduction of one-loop integrals. Our method employs the introduction of anauxiliary vector and the identification of the tensor structure as an auxiliarypropagator. This key insight allows us to express a wide range of one-loopintegrals, encompassing both tensor structures and higher poles, in the Baikovrepresentation. By establishing an integral-by-parts (IBP) relation, we derivea recursive formula that systematically solves the one-loop reduction problem,even in the presence of various degenerate cases. Our proposed strategy ischaracterized by its simplicity and effectiveness, offering a significantadvancement in the field of one-loop calculations.

Tensor Loop Reduction via the Baikov Representation and an Auxiliary Vector