I. Shirokov

activity

20192025

most citedThree-loop contribution of the Faddeev-Popov ghosts to the

β

-function of

N = 1

supersymmetric gauge theories and the NSVZ relation

21 citations · 86 across the 8 of their papers we have counts for

collaborators

Showing hep-thShow all

7 papers · 1 filter

hep-th2023★ 7 cited

The four-loop $β$ -function from vacuum supergraphs and the NSVZ relation for $N = 1$ SQED regularized by higher derivatives

Ilya Shirokov, Valentina Shirokova

In $N = 1$ SQED with $N_{f}$ flavors regularized by higher derivatives we obtain the four-loop beta function using a method based on calculating vacuum supergraphs. For this pur…

hep-th2022★ 3 cited

Computer algebra calculations in supersymmetric electrodynamics

Ilya Shirokov

We propose a new symbolic algorithm and a C++ program for generating and calculating supersymmetric Feynman diagrams for $N = 1$ supersymmetric electrodynamics regularized by…

hep-th2022★ 17 cited

The three-loop anomalous dimension and the four-loop $β$ -function for $N = 1$ SQED regularized by higher derivatives

Ilya Shirokov, Konstantin Stepanyantz

For $N = 1$ SQED with $N_{f}$ flavors regularized by higher derivatives in the general $ξ$ -gauge we calculate the three-loop anomalous dimension of the matter superfields define…

hep-th2021★ 8 cited

Finiteness of the triple gauge-ghost vertices in $N = 1$ 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 $N = 1$ supersymmetric gauge theory are UV finite in the two-loop ap…

hep-th2021★ 10 cited

Finiteness of the two-loop matter contribution to the triple gauge-ghost vertices in $N = 1$ supersymmetric gauge theories regularized by higher derivatives

Mikhail Kuzmichev, Nikolai Meshcheriakov, Sergey Novgorodtsev +2

For a general renormalizable $N = 1$ supersymmetric gauge theory with a simple gauge group we verify the ultraviolet (UV) finiteness of the two-loop matter contribution to the…

hep-th2020★ 20 cited

Three-loop verification of a new algorithm for the calculation of a $β$ -function in supersymmetric theories regularized by higher derivatives for the case of $N = 1$ SQED

S. S. Aleshin, I. S. Durandina, D. S. Kolupaev +9

We verify a recently proposed method for obtaining a $β$ -function of $N = 1$ supersymmetric gauge theories regularized by higher derivatives by an explicit calculation. Accord…

hep-th2019★ 21 cited

Three-loop contribution of the Faddeev-Popov ghosts to the $β$ -function of $N = 1$ 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 $β$ -function of $N = 1$ supersymmetric gauge theories regularized by higher covariant derivatives produced by the supergraphs contai…

The four-loop β-function from vacuum supergraphs and the NSVZ relation for N=1 SQED regularized by higher derivatives

Computer algebra calculations in supersymmetric electrodynamics

The three-loop anomalous dimension and the four-loop β-function for N=1 SQED regularized by higher derivatives

Finiteness of the triple gauge-ghost vertices in N=1 supersymmetric gauge theories: the two-loop verification

Finiteness of the two-loop matter contribution to the triple gauge-ghost vertices in N=1 supersymmetric gauge theories regularized by higher derivatives

Three-loop verification of a new algorithm for the calculation of a β-function in supersymmetric theories regularized by higher derivatives for the case of N=1 SQED