33 citations · 34 across the 3 of their papers we have counts for
6 papers
Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part
B. A. Kniehl, V. N. Velizhanin
Both for quark flavor asymmetry and valence, we consider the anomalous dimension of the non-singlet twist-two quark operator of arbitrary Lorentz spin N at four loops in SU(nc) col…
Four-Loop Gluon Anomalous Dimension of General Lorentz Spin: Transcendental Part
B. A. Kniehl, S. -O. Moch, V. N. Velizhanin +1
We consider the anomalous dimension of the twist-two gluon operator of arbitrary Lorentz spin in the quark flavor singlet sector of a general gauge theory at…
Three-loop renormalization of the N=1, N=2, N=4 supersymmetric Yang-Mills theories
V. N. Velizhanin
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 reduction scheme up to three l…
Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions
B. A. Kniehl, S. Moch, V. N. Velizhanin +1
We have determined the fourth-order contributions to the two splitting functions governing the evolution of all flavor differences of quark distributions of hadrons in pertur…
Four-loop anomalous dimension of flavor non-singlet twist-two operator of general Lorentz spin in QCD: zeta(3) term
B. A. Kniehl, V. N. Velizhanin
We consider the anomalous dimension of the flavor non-singlet twist-two quark operator of arbitrary Lorentz spin N at four loops in QCD and construct its contribution proportional…
Nonplanar Four-Loop Anomalous Dimensions of Twist-Two Operators in N=4 Super Yang-Mills Theory: Higher Moment, General Result, and Cusp Anomalous Dimension
B. A. Kniehl, V. N. Velizhanin
We consider the nonplanar universal anomalous dimension of twist-two operators at four loops in N=4 supersymmetric Yang-Mills theory and push its direct diagrammatic calculation th…