1.

A class of the NSVZ renormalization schemes for N=1 SQED
/ Goriachuk, I.O. ; Kataev, A.L. ; Stepanyantz, K.V.
For the N=1 supersymmetric electrodynamics we investigate renormalization schemes in which the NSVZ equation relating the β function to the anomalous dimension of the matter superfields is valid in all loops. [...]
Published in Physics letters B (2018)
10.1016/j.physletb.2018.09.014
Fulltext: XML PDF;

2.

On the twoloop divergences of the 2point hypermultiplet supergraphs for 6 D , N=(1,1) SYM theory
/ Buchbinder, I.L. ; Ivanov, E.A. ; Merzlikin, B.S. ; Stepanyantz, K.V.
We consider 6 D , N=(1,1) supersymmetric Yang–Mills theory formulated in N=(1,0) harmonic superspace and analyze the structure of the twoloop divergences in the hypermultiplet sector. [...]
Published in Physics letters B (2018)
10.1016/j.physletb.2018.01.040
Fulltext: XML PDF PDF (PDFA);

3.

New form of the NSVZ relation at the twoloop level
/ Shakhmanov, V.Yu. ; Stepanyantz, K.V.
Recently the exact NSVZ β function was rewritten in the form of a relation between the β function and the anomalous dimensions of the quantum gauge superfield, of the Faddeev–Popov ghosts, and of the matter superfields. [...]
Published in Physics letters B (2017)
10.1016/j.physletb.2017.12.005
Fulltext: XML PDF PDF (PDFA);

4.

The Adler D function for N=1 SQCD regularized by higher covariant derivatives in the threeloop approximation
/ Kataev, A.L. ; Kazantsev, A.E. ; Stepanyantz, K.V.
We calculate the Adler D function for N=1 SQCD in the threeloop approximation using the higher covariant derivative regularization and the NSVZlike subtraction scheme. [...]
Published in Nuclear Physics B (2017)
10.1016/j.nuclphysb.2017.11.009
Fulltext: PDF XML PDF (PDFA);

5.

Supergraph analysis of the oneloop divergences in 6 D , N=(1,0) and N=(1,1) gauge theories
/ Buchbinder, I.L. ; Ivanov, E.A. ; Merzlikin, B.S. ; Stepanyantz, K.V.
We study the oneloop effective action for 6 D , N=(1,0) supersymmetric Yang–Mills (SYM) theory with hypermultiplets and 6 D , N=(1,1) SYM theory as a subclass of the former, using the offshell formulation of these theories in 6 D , N=(1,0) harmonic superspace. [...]
Published in Nuclear Physics B (2017)
10.1016/j.nuclphysb.2017.05.010
Fulltext: XML PDF PDF (PDFA);

6.

Threeloop NSVZ relation for terms quartic in the Yukawa couplings with the higher covariant derivative regularization
/ Shakhmanov, V.Yu. ; Stepanyantz, K.V.
We demonstrate that in nonAbelian N=1 supersymmetric gauge theories the NSVZ relation is valid for terms quartic in the Yukawa couplings independently of the subtraction scheme if the renormalization group functions are defined in terms of the bare couplings and the theory is regularized by higher covariant derivatives. [...]
Published in Nuclear Physics B (2017)
10.1016/j.nuclphysb.2017.04.017
Fulltext: PDF XML PDF (PDFA);

7.

The NSVZ scheme for N=1 SQED with N f flavors, regularized by the dimensional reduction, in the threeloop approximation
/ Aleshin, S.S. ; Goriachuk, I.O. ; Kataev, A.L. ; Stepanyantz, K.V.
At the threeloop level we analyze, how the NSVZ relation appears for N=1 SQED regularized by the dimensional reduction. [...]
Published in Physics letters B (2016)
10.1016/j.physletb.2016.11.041
Fulltext: XML PDF PDF (PDFA);

8.

Oneloop divergences in the 6 D , N=(1,0) abelian gauge theory
/ Buchbinder, I.L. ; Ivanov, E.A. ; Merzlikin, B.S. ; Stepanyantz, K.V.
We consider, in the harmonic superspace approach, the sixdimensional N=(1,0) supersymmetric model of abelian gauge multiplet coupled to a hypermultiplet. [...]
Published in Physics letters B (2016)
10.1016/j.physletb.2016.10.060
Fulltext: XML PDF PDF (PDFA);

9.

Nonrenormalization of the Vc¯c vertices in N=1 supersymmetric theories
/ Stepanyantz, K.V.
Using the Slavnov–Taylor identities we prove that the threepoint ghost vertices with a single line of the quantum gauge superfield are not renormalized in all loops in N=1 supersymmetric gauge theories. [...]
Published in Nuclear Physics B (2016)
10.1016/j.nuclphysb.2016.05.011
Fulltext: XML PDF PDF (PDFA);

10.

Manifestly N=2 supersymmetric regularization for N=2 supersymmetric field theories
/ Buchbinder, I.L. ; Pletnev, N.G. ; Stepanyantz, K.V.
We formulate the higher covariant derivative regularization for N=2 supersymmetric gauge theories in N=2 harmonic superspace. [...]
Published in Physics letters B (2015)
10.1016/j.physletb.2015.10.071
Fulltext: XML PDF PDF (PDFA);
