429 citations · 2.2k across the 50 of their papers we have counts for
51 papers
Four-loop beta function in N=2 supersymmetric Yang-Mills theory, dimensional reduction, and treatment of
M. A. Bezuglov, B. A. Kniehl, V. N. Velizhanin
Adopting the dimensional-reduction scheme, we diagrammatically compute, at four loops, the beta function of N=2 supersymmetric Yang-Mills theory, which is well known to vanish beyo…
Gauge coupling beta functions and gauge field anomalous dimensions at four loops in the Standard Model
M. A. Bezuglov, B. A. Kniehl, V. N. Velizhanin
We present the beta functions of the gauge couplings and the anomalous dimensions of the gauge fields in the unbroken phase of the Standard Model at four loops.
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…
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…