4.8 Article

Simplifying Differential Equations for Multiscale Feynman Integrals beyond Multiple Polylogarithms

Journal

PHYSICAL REVIEW LETTERS
Volume 118, Issue 14, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.118.141602

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Funding

  1. Research Training Group [GRK 1581]

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In this Letter we exploit factorization properties of Picard-Fuchs operators to decouple differential equations for multiscale Feynman integrals. The algorithm reduces the differential equations to blocks of the size of the order of the irreducible factors of the Picard-Fuchs operator. As a side product, our method can be used to easily convert the differential equations for Feynman integrals which evaluate to multiple polylogarithms to an epsilon form.

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