126 citations · 664 across the 17 of their papers we have counts for
17 papers
Exact off-shell Sudakov form factor in N=4 SYM
A. V. Belitsky, L. V. Bork, A. F. Pikelner +1
We consider the Sudakov form factor in N=4 SYM in the off-shell kinematical regime, which can be achieved by considering the theory on its Coulomb branch. We demonstrate that up tw…
Six-loop anomalous dimension of the operator in the symmetric model
Alexander Bednyakov, Andrey Pikelner
A technique of large-charge expansion provides a novel opportunity for calculation of critical dimensions of operators with fixed charge . In the small-coupling regime the…
Quark masses: N3LO bridge from to scheme
Alexander Bednyakov, Andrey Pikelner
We analytically compute the three-loop corrections to the relation between the renormalized quark masses defined in the minimal-subtraction () and the regulari…
Four-loop QCD MOM beta functions from the three-loop vertices at the symmetric point
Alexander Bednyakov, Andrey Pikelner
For the first time, we compute three-loop contributions to all triple vertices in QCD at the symmetric point. The analytic results are obtained in massless QCD with an arbitrary co…
Three-loop effective potential of general scalar theory via differential equations
Bernd A. Kniehl, Andrey F. Pikelner, Oleg L. Veretin
We consider the scalar sector of a general renormalizable theory and evaluate the effective potential through three loops analytically. We encounter three-loop vacuum bubble diagra…
Three-loop massive tadpoles and polylogarithms through weight six
B. A. Kniehl, A. F. Pikelner, O. L. Veretin
We evaluate the three-loop massive vacuum bubble diagrams in terms of polylogarithms up to weight six. We also construct the basis of irrational constants being harmonic polylgarit…