398 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
Asymptotic neutrino-nucleon cross section and saturation effects
In this paper we present a simple analytic expression for the (spin-averaged)
neutrino-nucleon cross section for ultra-high energies at twist-2, obtained as
the asymptotic limit of our previous findings. This expression gives values for
the cross section in remarkable numerical agreement with the previous numerical
evaluation in the energy region relevant for forthcoming neutrino experiments.
Moreover, we discuss the role and the relevance of saturation and recombination
effects in our approach, in comparison with other recent suggestions.Comment: 19 pages, 2 figure
- …