72 citations · 132 across the 3 of their papers we have counts for
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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…
Two-loop electroweak threshold corrections in the Standard Model
Bernd A. Kniehl, Andrey F. Pikelner, Oleg L. Veretin
We study the relationships between the basic parameters of the on-shell renormalization scheme and their counterparts in the scheme at full order ${\cal O}…
Anomalous dimensions of gauge fields and gauge coupling beta-functions in the Standard Model at three loops
A. V. Bednyakov, A. F. Pikelner, V. N. Velizhanin
We present the results for three-loop gauge field anomalous dimensions in the SM calculated in the background field gauge within the unbroken phase of the model. The results are va…