1.

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
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2.

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
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3.

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
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4.

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
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5.

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
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6.

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
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7.

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
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8.

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
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9.

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
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10.

The NSVZ β function and the SchwingerDyson equations for N $$ \mathcal{N} $$ = 1 SQED with N f flavors, regularized by higher derivatives
/ K.V. Stepanyantz
The effective diagram technique based on the SchwingerDyson equations is constructed for N $$ \mathcal{N} $$ = 1 SQED with N f flavors, regularized by higher derivatives. [...]
Published in JHEP 1408 (2014) 096
10.1007/JHEP08(2014)096
arXiv:1404.6717
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