423 research outputs found
The property of maximal transcendentality in the N=4 SYM
We show results for the universal anomalous dimension gamma_{uni}(j) of
Wilson twist-2 operators in the N=4 Supersymmetric Yang-Mills theory in the
first three orders of perturbation theory. These expressions are obtained by
extracting the most complicated contributions from the corresponding anomalous
dimensions in QCD.Comment: 6 pages, published in the Proceedings of International Bogolyubov
Conference "Problems of Theoretical and Mathematical Physics" (dedicated to
the 100th anniversary of the birth of N.N. Bogolyubov (1909-1992)), Dubna,
Russia, August 21 - 27, 2009 (Phys.Part.Nucl. in press
About calculation of massless and massive Feynman integrals
We report some results of calculations of massless and massive Feynman
integrals particularly focusing on difference equations for coefficients of for
their series expansionsComment: 51 pages; contribution to the proceedings of Helmholtz International
Summer School "Quantum Field Theory at the Limits: from Strong Fields to
Heavy Quarks" (July 22 - August 2, 2019; Dubna, Russia
Compact analytical form for a class of three-loop vacuum Feynman diagrams
We present compact, fully analytical expressions for singular parts of a
class of three-loop diagrams which cannot be factorized into lower-loop
integrals. As a result of the calculations we obtain the analytical expression
for the three-loop effective potential of the massive O(N) \phi^4 model
presented recently by J.-M.Chung and B.K.Chung, Phys.Rev. D56, 6508 (1997).Comment: 5 pages, latex + 1 ps figur
QCD coupling constant value and deep inelastic measurements
We reanalyze deep inelastic scattering data of BCDMS Collaboration by
including proper cuts of ranges with large systematic errors. We perform also
the fits of high statistic deep inelastic scattering data of BCDMS, SLAC, NM
and BFP Collaborations taking the data separately and in combined way and find
good agreement between these analyses. We extract the values of the QCD
coupling constant \alpha_s(M^2_Z) up to NLO level.Comment: 7 pages, 4 figures, latex. Talk presented at the 5-th International
Conference "Renormalization Group 2002", High Tatras, Slovakia, March 200
- …