Abstract:
For supersymmetric gauge theories, an invariant procedure of intermediate regularization is constructed. It is a supersymmetric generalization of the method of higher covariant derivatives augmented by a special invariant procedure for regularizing single-loop superdiagrams.
This publication is cited in the following 76 articles:
D. M. Rystsov, K. V. Stepanyantz, “All-loop renormalization group invariants for the MSSM”, Phys. Rev. D, 111:1 (2025)
I. E. Shirokov, V. Yu. Shirokova, “The four-loop β-function from vacuum supergraphs and the NSVZ relation for N=1 SQED regularized by higher derivatives”, Eur. Phys. J. C, 84:3 (2024)
K. V. Stepanyantz, “Quantum Corrections and Exact Results in Supersymmetric Theories Regularized by Higher Covariant Derivatives”, Moscow Univ. Phys., 79:S1 (2024), 486
V. Y. Shirokova, I. E. Shirokov, “Multiloop Calculations of Beta-Function of N=1 Supersymmetric Theories, Regularized by Higher Derivatives”, Moscow Univ. Phys., 79:S1 (2024), 500
K. V. Stepanyantz, O. V. Haneychuk, V. Yu. Shirokova, “Three-loop β-functions and NSVZ relations for the MSSM regularized by higher covariant derivatives”, Theoret. and Math. Phys., 216:3 (2023), 1408–1422
K. V. Stepanyantz, “The structure of quantum corrections and exact results in supersymmetric theories from the higher covariant derivative regularization”, Theoret. and Math. Phys., 217:3 (2023), 1954–1968
F. S. Gama, “Two-loop superfield effective potential for
N=2
,
d=3
supersymmetric quantum electrodynamics with higher derivatives”, Phys. Rev. D, 107:12 (2023)
I. E. Shirokov, “Multiloop Calculations in 𝒩 = 1 SQED with Nf Flavours Regularized by Higher Derivatives”, Phys. Part. Nuclei Lett., 20:3 (2023), 268
S. S. Aleshin, K. V. Stepanyantz, “Quantum properties of gauge theories with extended supersymmetry formulated in
N=1
superspace”, Phys. Rev. D, 107:10 (2023)
Igor Kondrashuk, Ivan Schmidt, “Finiteness of N=4 Super-Yang–Mills Effective Action in Terms of Dressed N=1 Superfields”, Particles, 6:4 (2023), 993
I. E. Shirokov, “Computer Algebra Calculations in Supersymmetric Electrodynamics”, Program Comput Soft, 49:2 (2023), 122
N. P. Meshcheriakov, V. V. Shatalova, K. V. Stepanyantz, “Higher logarithms and ε-poles for the MS-like renormalization prescriptions”, J. High Energ. Phys., 2023:12 (2023)
M.D. Kuzmichev, K.V. Stepanyantz, “A condition for the reduction of couplings in the P=13Q supersymmetric theories”, Physics Letters B, 844 (2023), 138094
Kuzmichev M. Meshcheriakov N. Novgorodtsev S. Shatalova V. Shirokov I. Stepanyantz K., “Finiteness of the Triple Gauge-Ghost Vertices in N=1 Supersymmetric Gauge Theories: the Two-Loop Verification”, Eur. Phys. J. C, 82:1 (2022), 69
I. E. Shirokov, K. V. Stepanyantz, “The three-loop anomalous dimension and the four-loop β-function for N = 1 SQED regularized by higher derivatives”, J. High Energ. Phys., 2022:4 (2022)
N. P. Meshcheriakov, V. V. Shatalova, K. V. Stepanyantz, “Coefficients at powers of logarithms in the higher-derivatives and minimal-subtractions-of-logarithms renormalization scheme”, Phys. Rev. D, 106:10 (2022)
Konstantin Stepanyantz, “NSVZ β-Function and NSVZ Scheme with the Higher Covariant Derivative Regularization in the Non-Abelian Case”, Moscow Univ. Phys., 77:2 (2022), 474
S. S. Aleshin, I. O. Goriachuk, D. S. Kolupaev, K. V. Stepanyantz, “The β-function of supersymmetric theories from vacuum supergraphs: A three-loop example”, Mod. Phys. Lett. A, 37:07 (2022)
O. V. Haneychuk, V. Yu. Shirokova, K. V. Stepanyantz, “Three-loop β-functions and two-loop anomalous dimensions for MSSM regularized by higher covariant derivatives in an arbitrary supersymmetric subtraction scheme”, J. High Energ. Phys., 2022:9 (2022)
Kuzmichev M.D. Meshcheriakov N.P. Novgorodtsev V S. Shirokov I.E. Stepanyantz V K., “Finiteness of the Two-Loop Matter Contribution to the Triple Gauge-Ghost Vertices in N=1 Supersymmetric Gauge Theories Regularized By Higher Derivatives”, Phys. Rev. D, 104:2 (2021), 025008
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