Search Results - "Velizhanin, V.N."

Analytic continuation of harmonic sums: Dispersion representation by Velizhanin, V.N.

“…We present a simple representation for analytically continued nested harmonic sums for the arbitrary complex arguments. This representation can be obtained for…”
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Fermionic contribution to the anomalous dimension of twist-2 operators in N = 4 SYM theory, critical indices and integrability by Velizhanin, V.N.

“…We compute the contribution to the anomalous dimension of the twist-2 operators in N=4 SYM theory, which is proportional to the number of fermion loops inside…”
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Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in N=4 SYM theory by Kniehl, B.A., Velizhanin, V.N.

“…We compute the non-planar contribution to the universal anomalous dimension of twist-two operators in N=4 supersymmetric Yang-Mills theory at four loops…”
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Anomalous dimensions of twist-two operators in extended N=2 and N=4 super Yang-Mills theories by Kniehl, B.A., Velizhanin, V.N.

“…We perform direct diagrammatic calculations of the anomalous dimensions of twist-two operators in extended N=2 and N=4 super Yang-Mills theories (SYM). In the…”
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Three-loop SM beta-functions for matrix Yukawa couplings by Bednyakov, A.V., Pikelner, A.F., Velizhanin, V.N.

“…We present the extension of our previous results for three-loop Yukawa coupling beta-functions to the case of complex Yukawa matrices describing the flavour…”
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Four loop anomalous dimension of the second moment of the non-singlet twist-2 operator in QCD by Velizhanin, V.N.

“…We present the result of a calculation for the first even moment of the non-singlet four-loop anomalous dimension of Wilson twist-2 operators in QCD with full…”
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Non-planar anomalous dimension of twist-2 operators: Higher moments at four loops by Velizhanin, V.N.

“…We compute the non-planar contribution to the anomalous dimension of the eighth moment of the twist-2 operators in N=4 supersymmetric Yang–Mills theory at four…”
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Three-loop anomalous dimension of the non-singlet transversity operator in QCD by Velizhanin, V.N.

“…We calculate the three-loop anomalous dimension of the non-singlet transverse operator from N=1 to N=15. Using some guess we have reconstructed a general form…”
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Higgs self-coupling beta-function in the Standard Model at three loops by Bednyakov, A.V., Pikelner, A.F., Velizhanin, V.N.

“…We present the results for three-loop beta-function for the Higgs self-coupling calculated within the unbroken phase of the Standard Model. We also provide the…”
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The non-planar contribution to the four-loop anomalous dimension of twist-2 operators: First moments in SYM and non-singlet QCD by Velizhanin, V.N.

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Three-loop Higgs self-coupling beta-function in the Standard Model with complex Yukawa matrices by Bednyakov, A.V., Pikelner, A.F., Velizhanin, V.N.

“…Three-loop renormalization group equations for the Higgs self-coupling and Higgs mass parameter are recalculated in the case of complex Yukawa matrices which…”
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Three-loop renormalization of the N = 1 , N = 2 , N = 4 supersymmetric Yang–Mills theories by Velizhanin, V.N.

“…We calculate the renormalization constants of the N = 1 , N = 2 , N = 4 supersymmetric Yang–Mills theories in an arbitrary covariant gauge in the dimensional…”
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The non-planar contribution to the four-loop anomalous dimension of twist-2 operators: First moments in N = 4 SYM and non-singlet QCD by Velizhanin, V.N.

“…We present the result of a full direct component calculation for the first three even moments of the non-planar contribution into the four-loop anomalous…”
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Yukawa coupling beta-functions in the Standard Model at three loops by Bednyakov, A.V., Pikelner, A.F., Velizhanin, V.N.

“…We present the results for three-loop beta-functions for Yukawa couplings of heavy Standard Model fermions calculated within the unbroken phase of the model…”
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Three-loop renormalization of the , , supersymmetric Yang–Mills theories by Velizhanin, V.N.

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Five-loop anomalous dimension of twist-two operators by Łukowski, T., Rej, A., Velizhanin, V.N.

“…In this article we calculate the five-loop anomalous dimension of twist-two operators in the planar N = 4 SYM theory. Firstly, using reciprocity, we derive the…”
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Vanishing of the four-loop charge renormalization function in N=4 SYM theory by Velizhanin, V.N.

“…We calculate the renormalization constants of the maximally extended N=4 supersymmetric Yang–Mills theories in the dimensional reduction scheme up to four…”
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Leading transcendental contribution to the four-loop universal anomalous dimension in N=4 SYM by Velizhanin, V.N.

“…We present the result of a full direct component calculation for the term proportional to ζ5 in the four-loop universal anomalous dimension of the twist-2…”
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Anomalous dimensions of Wilson operators in N=4 SYM theory by Kotikov, A.V., Lipatov, L.N., Velizhanin, V.N.

“…We present the results of two-loop calculations of the anomalous dimension matrix for the Wilson twist-2 operators in the N=4 Supersymmetric Yang–Mills theory…”
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The 16th moment of the three-loop anomalous dimension of the non-singlet transversity operator in QCD by Bagaev, A.A., Bednyakov, A.V., Pikelner, A.F., Velizhanin, V.N.

“…We present the result of the three-loop anomalous dimension of non-singlet transversity operator in QCD for the Mellin moment N=16. The obtained result…”
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