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Non-planar massless two-loop Feynman diagrams with four on-shell legs. (English) Zbl 0987.81500

Summary: The non-planar Feynman diagram with seven massless, scalar propagators and four on-shell legs (the crossed double box) is calculated analytically in dimensional regularization. The non-planar diagram with six propagators is also discussed.

MSC:

81Q30 Feynman integrals and graphs; applications of algebraic topology and algebraic geometry
81T18 Feynman diagrams
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References:

[1] E.W.N. Glover, hep-ph/9805481.; E.W.N. Glover, hep-ph/9805481.
[2] Smirnov, V. A., Phys. Lett. B, 460, 397 (1999)
[3] N.I. Ussyukina, preprint FERMILAB-PUB-93/241-T; hep-ph/9801261.; N.I. Ussyukina, preprint FERMILAB-PUB-93/241-T; hep-ph/9801261.
[4] V.A. Smirnov, O.L. Veretin, hep-ph/9907385.; V.A. Smirnov, O.L. Veretin, hep-ph/9907385.
[5] C. Anastasiou, E.W.N. Glover, C. Oleari, hep-ph/9907523.; C. Anastasiou, E.W.N. Glover, C. Oleari, hep-ph/9907523.
[6] Bern, Z., Nucl. Phys. B, 530, 401 (1998)
[7] L.J. Slater, Generalized Hypergeometric Functions, Cambridge University Press, 1966.; L.J. Slater, Generalized Hypergeometric Functions, Cambridge University Press, 1966. · Zbl 0135.28101
[8] L. Lewin, Polylogarithms and associated functions, North-Holland, 1981.; L. Lewin, Polylogarithms and associated functions, North-Holland, 1981. · Zbl 0465.33001
[9] Nielsen, N., Nova Acta Leopoldina, 90, 123 (1909)
[10] Kölbig, K. S.; Mignaco, J. A.; Remiddi, E., BIT, 10, 38 (1970)
[11] T. Binoth, G. Heinrich, unpublished.; T. Binoth, G. Heinrich, unpublished.
[12] van Neerven, W. L., Nucl. Phys. B, 268, 453 (1986)
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