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Vector Space of Feynman Integrals and Multivariate Intersection Numbers

Vector Space of Feynman Integrals and Multivariate Intersection Numbers

Feynman integrals obey linear relations governed by intersection numbers, which act as scalar products between vector spaces. We present a general algorithm for the construction of multivariate intersection numbers relevant to Feynman integrals, and show for the first time how they can be used to solve the problem of integral …