264 citations · 1.2k across the 40 of their papers we have counts for
40 papers
On the six-loop scaling dimensions of the operators in
A. V. Bednyakov, M. V. Kompaniets, A. V. Trenogin
We consider a class of singlet operators in the three-dimensional model with interaction. Recently, the corresponding anomalous dimensions were…
On the renormalization-group analysis of the SM: loops, uncertainties, and vacuum stability
A. V. Bednyakov, A. S. Fedoruk, D. I. Kazakov
Renormalization-group equations (RGE) is one of the key tools in studying high-energy behavior of the Standard Model (SM). We begin by reviewing one-loop RGE for the dimensionless…
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations
A. V. Bednyakov
We consider a generating set of reparametrization invariants that can be constructed from the couplings and masses entering the scalar potential of the general Two-Higgs-Doublet Mo…
Three-loop anomalous dimensions of fixed-charge operators in the SM
A. V. Bednyakov
In this Letter we consider renormalization of a class of scalar operators with fixed hypercharge within the Standard Model. We carry out explicit computation of the correspondi…
Asymptotic safety in the Litim-Sannino model at four loops
A. V. Bednyakov, A. I. Mukhaeva
We consider a four-dimensional gauge theory coupled to species of color fermions and colorless scalars. The quantum field theory possesses a weakly interact…
Perturbative Asymptotic Safety and Its Phenomenological Applications
Alexander Bednyakov, Alfiia Mukhaeva
Asymptotic safety is a remarkable example when fruitful ideas borrowed from statistical physics proliferate to high-energy physics. The concept of asymptotic safety is tightly conn…