548 citations · 13.6k across the 307 of their papers we have counts for
322 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.
RI/SMOM renormalization for lattice QCD: bilinear and three-quark operators
Bernd A. Kniehl, Oleg L. Veretin
We review perturbative matching between the regularization-invariant symmetric MOM (RI/SMOM) and MS schemes at the symmetric subtraction point, which is relevant for lattice QCD si…
Numerical analytical continuation of multivariate hypergeometric functions
M. A. Bezuglov, B. A. Kniehl, A. I. Onishchenko +1
We present a general framework for the high-precision numerical evaluation of multivariate hypergeometric functions defined as solutions of holonomic systems of partial differentia…
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…