61 citations · 91 across the 5 of their papers we have counts for
5 papers
Four-loop QCD cusp anomalous dimension at small angle
Andrey G. Grozin, Roman N. Lee, Andrey F. Pikelner
We calculate the small angle expansion of the four-loop QCD cusp anomalous dimension. As a byproduct of our calculation, we also obtain the four-loop anomalous dimension of the hea…
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…
Four-loop critical properties of polymerized membranes
Andrey Pikelner
We calculate four-loop order corrections to the critical exponent in the two-field model of flat phase membranes. Obtained results show better agreement with the other calculat…
On the four-loop strong coupling beta-function in the SM
A. V. Bednyakov, A. F. Pikelner
In the talk the leading four-loop contribution to the beta-function of the strong coupling in the SM is discussed. Some details of calculation techniques are provided. Special atte…
Three-loop SM beta-functions for matrix Yukawa couplings
A. V. Bednyakov, A. F. Pikelner, V. N. Velizhanin
We present the extension of our previous results for three-loop Yukawa coupling beta-functions to the case of complex Yukawa matrices describing the flavour structure of the SM. Th…