Search Results - "Velizhanin, V. N."

Nonplanar Cusp and Transcendental Anomalous Dimension at Four Loops in N=4 Supersymmetric Yang-Mills Theory by Kniehl, B A, Velizhanin, V N

“…We compute the nonplanar contribution to the universal anomalous dimension of the SU(4)-singlet twist-two operators in N=4 supersymmetric Yang-Mills theory at…”
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Exact result in N = 4 SYM theory: generalised double-logarithmic equation by Velizhanin, V. N.

“…A bstract We present the new results for the generalised double-logarithmic equation, obtained from the analytical continuation of the seven-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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Twist-2 at five loops: wrapping corrections without wrapping computations by Velizhanin, V. N.

“…A bstract Using known all-loop results from the BFKL and generalized doublelogarithmic equations and large spin limit we have recomputed the five-loop planar…”
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Anomalous dimensions of gauge fields and gauge coupling beta-functions in the Standard Model at three loops by Bednyakov, A. V., Pikelner, A. F., Velizhanin, V. N.

“…A bstract We present the results for three-loop gauge field anomalous dimensions in the SM calculated in the background field gauge within the unbroken phase…”
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Three-loop universal anomalous dimension of the Wilson operators in N=4 SUSY Yang–Mills model by Kotikov, A.V., Lipatov, L.N., Onishchenko, A.I., Velizhanin, V.N.

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Double-logs, Gribov-Lipatov reciprocity and wrapping by Velizhanin, V. N.

“…We study analytical properties of the five-loop anomalous dimension of twist-2 operators at negative even values of Lorentz spin. Following L. N. Lipatov and…”
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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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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 argument. 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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Analytic continuation of harmonic sums with purely imaginary indices near the integer values by Velizhanin, V. N

“…We present a simple algebraic method for the analytic continuation of harmonic sums with integer real or purely imaginary indices near negative and positive…”
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Exact result in N=4 SYM theory: Generalised double-logarithmic equation by Velizhanin, V. N

“…We present the new results for the generalised double-logarithmic equation, obtained from the analytical continuation of the seven-loop anomalous dimension of…”
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Exact result in $$ \mathcal{N} $$ = 4 SYM theory: generalised double-logarithmic equation by Velizhanin, V. N.

“…We present the new results for the generalised double-logarithmic equation, obtained from the analytical continuation of the seven-loop anomalous dimension of…”
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Six-loop anomalous dimension of twist-three operators in SYM by Velizhanin, V. N.

“…The result for the six-loop anomalous dimension of twist-three operators in the planar SYM theory is presented. The calculations were performed along the paper…”
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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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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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Exact result in N $$ \mathcal{N} $$ = 4 SYM theory: generalised double-logarithmic equation by V. N. Velizhanin

“…Abstract We present the new results for the generalised double-logarithmic equation, obtained from the analytical continuation of the seven-loop anomalous…”
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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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