New Results for a Two-Loop Massless Propagator-Type Feynman Diagram


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We consider a two-loop massless propagator-type Feynman diagram with an arbitrary (noninteger) index on the central line. We analytically prove the equality of two well-known results in the literature expressing this diagram in terms of hypergeometric functions 3F2 of the respective arguments −1 and 1. We also derive new representations for this diagram, which can be important in practical calculations.

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A. Kotikov

Bogoliubov Laboratory of Theoretical Physics

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Email: kotikov@theor.jinr.ru
俄罗斯联邦, Dubna

S. Teber

Sorbonne Université, CNRS, Laboratoire de Physique Théorique et Hautes Energies

Email: kotikov@theor.jinr.ru
法国, Paris

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