Abstract:
The method of calculating the double logarithmic asymptotics of vertex functions suggested by the authors in [5] is further developed. Now the method is applied to calculating the asymptotics of quantum chromodynamics perturbation theory diagrams of arbitrary order including at most one three-gluon vertex. Cancellation of terms proportional to the Kasimir operator B is demonstrated in every order for the singlet formfactor of the quark.
Citation:
V. V. Belokurov, N. I. Usyukina, “Double logarithmic asymptotic behavior of vertex functions in quantum chromodynamics. I”, TMF, 44:2 (1980), 147–156; Theoret. and Math. Phys., 44:2 (1980), 657–663
This publication is cited in the following 10 articles:
B. I. Ermolaev, S. I. Troyan, “Remarks on applying dispersion relations to amplitudes with infrared singularities”, Phys. Rev. D, 109:7 (2024)
Michael Melles, “Electroweak radiative corrections in high energy processes”, Physics Reports, 375:4 (2003), 219
Michael Melles, “Subleading Sudakov logarithms in electroweak high energy processes to all orders”, Phys. Rev. D, 63:3 (2001)
Michael Melles, “Resummation of Yukawa enhanced and subleading Sudakov logarithms in longitudinal gauge boson and Higgs boson production”, Phys. Rev. D, 64:1 (2001)
V. S. Fadin, L. N. Lipatov, A. D. Martin, M. Melles, “Resummation of double logarithms in electroweak high energy processes”, Phys. Rev. D, 61:9 (2000)
V.A. Smirnov, “Asymptotic expansions of two-loop Feynman diagrams in the Sudakov limit”, Physics Letters B, 404:1-2 (1997), 101
V.A Smirnov, “Asymptotic expansions of Feynman diagrams on the mass shell in momenta and masses”, Physics Letters B, 394:1-2 (1997), 205
Th. Ohrndorf, “The infrared regularization dependence of the asymptotic behavior of the Sudakov form factor in QCD”, Nuclear Physics B, 219:1 (1983), 220
V. V. Belokurov, N. I. Usyukina, “Calculation of double logarithmic asymptotics of on-shell vertex functions”, Theoret. and Math. Phys., 48:2 (1981), 663–668
V. V. Belokurov, N. I. Usyukina, “Double logarithmic asymptotic behavior of vertex functions in quantum chromodynamics.
II. Eighth order of perturbation theory”, Theoret. and Math. Phys., 45:2 (1980), 957–962
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