Algorithm for calculating massless Feynman diagrams
Teoretičeskaâ i matematičeskaâ fizika, Tome 79 (1989) no. 1, pp. 63-71 Cet article a éte moissonné depuis la source Math-Net.Ru

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A method is suggested for calculating many-loop massless Feynman graphs. The method exploits the Mellin expansions and unicality relations for vertices and triangles in the Mellin representation.
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N. I. Usyukina. Algorithm for calculating massless Feynman diagrams. Teoretičeskaâ i matematičeskaâ fizika, Tome 79 (1989) no. 1, pp. 63-71. http://geodesic.mathdoc.fr/item/TMF_1989_79_1_a5/

[1] Vasilev A. N., Pismak Yu. M., Khonkonen Yu. R., TMF, 47:3 (1981), 291–306 ; D'Eramo M., Peliti L., Parisi G., Nuovo Cim. Lett., 2 (1971), 878–880 | DOI

[2] Rosner J. L., Ann. of Phys., 44 (1967), 11 ; Chetyrkin K. G., Kataev A. L., Tkachov F. V., Nucl. Phys., B174 (1980), 345–377 ; Chetyrkin K. G., Tkachov F. V., Nucl. Phys., B192 (1981), 159–204 | DOI | DOI | MR | DOI

[3] Usyukina N. I., TMF, 54:1 (1983), 124–129 | MR

[4] Belokurov V. V., Ussyukina N. I., Acta Phys. Pol., B14:10 (1983), 747–755; Белокуров В. В., Усюкина Н. И., Вестн. МГУ. Сер. 3, физика, астрономия, 25 (1984), 80–82

[5] Belokurov V. V., Ussyukina N. I., J. Phys. A: Math. Gen., 16 (1983), 2811–2816 | DOI

[6] Usyukina N. I., TMF, 22:3 (1975), 300–306

[7] Marichev O. I., Metody vychisleniya integralov ot spetsialnykh funktsii, Nauka i tekhnika, Minsk, 1978 | MR

[8] Prudnikov A. P., Brychkov Yu. A., Marichev O. I., Integraly i ryady, Nauka, M., 1981 | MR | Zbl