65 citations · 96 across the 11 of their papers we have counts for
12 papers
Some approximate renormalization group invariants for supersymmetric extensions of the Standard Model and the Yukawa unification
Kirill Krylov, Daniil Rystsov, Konstantin Stepanyantz
For supersymmetric extensions of the Standard Model we construct some expressions that include Yukawa couplings for the third and second generations and receive relatively small qu…
The renormalization group invariants and exact results for various supersymmetric theories
Konstantin Stepanyantz
Some recent all-loop results on the renormalization of supersymmetric theories are summarized and reviewed. In particular, we discuss how it is possible to construct expressions wh…
Structure of renormalization constants for theories with multiple couplings in the MS-like subtraction schemes
Gleb Kovyrshin, Nikolai Meshcheriakov, Victoria Shatalova +1
For theories with multiple couplings we construct simple expressions for the four-dimensional (or, in general, integer-dimensional) renormalization constants assuming that all dive…
Exact expressions for the renormalization constants in the MS-like schemes
Konstantin Stepanyantz
We briefly review how it is possible to derive some exact expressions for the renormalization constants for the MS-like renormalization prescriptions using the arguments based on t…
All-loop renormalization group invariants for MSSM
Daniil Rystsov, Konstantin Stepanyantz
For MSSM from the gauge couplings, Yukawa couplings, and the coefficient in the part of superpotential quadratic in the Higgs superfields we construct combinations which (for c…
Exact relations between running of and in SQCD+SQED
A. L. Kataev, K. V. Stepanyantz
In supersymmetric QCD-like theories we derive the (all-order) exact equations relating the renormalization group behaviour of the strong and electromagnetic couplings…
Algebraic structure of the renormalization group in the renormalizable QFT theories
Andrei Kataev, Konstantin Stepanyantz
We consider the group formed by finite renormalizations as an infinite-dimensional Lie group. It is demonstrated that for the finite renormalization of the gauge coupling constant…
Higher logarithms and -poles for the MS-like renormalization prescriptions
Nikolai Meshcheriakov, Victoria Shatalova, Konstantin Stepanyantz
We consider a version of dimensional regularization (reduction) in which the dimensionful regularization parameter is in general different from the renormalization scale . T…
Coefficients at powers of logarithms in the HD+MSL renormalization scheme
Nikolai Meshcheriakov, Victoria Shatalova, Konstantin Stepanyantz
For renormalizable theories with a single coupling constant regularized by higher derivatives we investigate the coefficients at powers of logarithms present in the renormalization…
Finiteness of the triple gauge-ghost vertices in supersymmetric gauge theories: the two-loop verification
Mikhail Kuzmichev, Nikolai Meshcheriakov, Sergey Novgorodtsev +3
By an explicit calculation we demonstrate that the triple gauge-ghost vertices in a general renormalizable supersymmetric gauge theory are UV finite in the two-loop ap…
Three-loop contribution of the Faddeev-Popov ghosts to the -function of supersymmetric gauge theories and the NSVZ relation
M. D. Kuzmichev, N. P. Meshcheriakov, S. V. Novgorodtsev +2
We find the three-loop contribution to the -function of supersymmetric gauge theories regularized by higher covariant derivatives produced by the supergraphs contai…
Scheme independent consequence of the NSVZ relation for N=1 SQED with N_f flavors
A. L. Kataev, K. V. Stepanyantz
The exact NSVZ -function is obtained for SQED with flavors in all orders of the perturbation theory, if the renormalization group functions are defined in ter…