Abstract:
The method of unicalities is applied to the calculation of moments of structure functions of deeply inelastic scattering in QCD. Examples are given of calculating many-loop diagrams depending on two momenta when the square of one of them is equal to zero. The method can also be used in other theories based on the light cone expansion as well as for calculating propagator type diagrams with many momenta on their lines.
Citation:
A. V. Kotikov, “Method of calculating the moments of the structure functions of deep inelastic scattering in quantum chromodynamics”, TMF, 78:2 (1989), 187–199; Theoret. and Math. Phys., 78:2 (1989), 134–143
A. V. Kotikov, “The property of maximal transcendentality: Calculation of Feynman integrals”, Theoret. and Math. Phys., 190:3 (2017), 391–401
B. A. Kniehl, A. V. Kotikov, O. L. Veretin, “Orthopositronium lifetime atO(α)andO(α3 ln α)in closed form”, Phys. Rev. A, 80:5 (2009)
Kotikov, AV, “Deep inelastic scattering: Q(2) dependence of structure functions”, Physics of Particles and Nuclei, 38:1 (2007), 1
A.V. Kotikov, L.N. Lipatov, “DGLAP and BFKL equations in the N=4 supersymmetric gauge theory”, Nuclear Physics B, 661:1-2 (2003), 19
J. Fleischer, A.V. Kotikov, O.L. Veretin, “Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass”, Nuclear Physics B, 547:1-2 (1999), 343
A.V. Kotikov, “Differential equations method: the calculation of vertex-type Feynman diagrams”, Physics Letters B, 259:3 (1991), 314
A.V. Kotikov, “Differential equation method. The calculation of N-point Feynman diagrams”, Physics Letters B, 267:1 (1991), 123
A.V. Kotikov, “Differential equations method. New technique for massive Feynman diagram calculation”, Physics Letters B, 254:1-2 (1991), 158
Citation in format AMSBIB
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