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Two-Loop Kite Master Integral for a Correlator of Two Composite Vertices

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Abstract

We consider a two-loop propagator-type Feynman integral with two composite external vertices as a function of two Bjorken variables \(x\), \(y\), arbitrary indices \({{n}_{i}}\) of propagators and space-time dimension \(D\). The integral is evaluated in terms of a hypergeometric double series. We find a chain of reductions of this double series to simpler functions in some physically interesting situations. The Mellin moments of the integral are also considered.

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ACKNOWLEDGMENTS

S.V.M. acknowledges the support of the BelRFFR-JINR, Grant no. F18D-002. N.V. was supported by a grant from the Russian Scientific Foundation (project no. 18-12-00213).

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Authors and Affiliations

  1. Bogoliubov Laboratory of Theoretical Physics, JINR, 141980, Dubna, Russia

    N. Volchanskiy & S. V. Mikhailov

  2. Research Institute of Physics, Southern Federal University, 344090, Rostov-on-Don, Russia

    N. Volchanskiy

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  1. N. Volchanskiy
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  2. S. V. Mikhailov
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Correspondence to N. Volchanskiy or S. V. Mikhailov.

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Volchanskiy, N., Mikhailov, S.V. Two-Loop Kite Master Integral for a Correlator of Two Composite Vertices. Phys. Part. Nuclei 51, 609–613 (2020). https://doi.org/10.1134/S1063779620040747

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  • DOI: https://doi.org/10.1134/S1063779620040747

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