Three-loop verification of a new algorithm for the calculation of a \(\beta\)-function in supersymmetric theories regularized by higher derivatives for the case of \(\mathcal{N} = 1\) SQED

DOI10.1016/j.nuclphysb.2020.115020zbMath1473.81107arXiv2003.06851OpenAlexW3012214880MaRDI QIDQ2230474

V. V. Shatalova, K. V. Stepanyantz, I. E. Shirokov, N. P. Meshcheriakov, M. D. Kuzmichev, S. V. Novgorodtsev, V. Yu. Shirokova, I. A. Petrov, S. S. Aleshin, D. S. Korneev, D. S. Kolupaev, I. S. Durandina

Publication date: 17 September 2021

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.06851

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Yang-Mills and other gauge theories in quantum field theory (81T13) Feynman diagrams (81T18) Electromagnetic interaction; quantum electrodynamics (81V10) Renormalization group methods applied to problems in quantum field theory (81T17) Noncommutative geometry in quantum theory (81R60)

Related Items (3)

Computer algebra calculations in supersymmetric electrodynamics ⋮ Two-loop renormalization of the matter superfields and finiteness of \(\mathcal{N} = 1\) supersymmetric gauge theories regularized by higher derivatives ⋮ The three-loop anomalous dimension and the four-loop \(\beta\)-function for \(\mathcal{N} = 1\) SQED regularized by higher derivatives

Cites Work

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• Factorization of integrals defining the \(\beta \)-function into integrals of total derivatives in \(N=1\) SQED, regularized by higher derivatives
• Higher covariant derivative regularization for calculations in supersymmetric theories
• Derivation of the exact NSVZ \(\beta \)-function in \(N=1\) SQED, regularized by higher derivatives, by direct summation of Feynman diagrams
• Background field calculations and nonrenormalization theorems in 4d supersymmetric gauge theories and their low-dimensional descendants
• Precision calculations in supersymmetric theories
• Renormalizations in softly broken SUSY gauge theories
• The Adler \(D\)-function for \(\mathcal{N} = 1\) SQCD regularized by higher covariant derivatives in the three-loop approximation
• New form of the NSVZ relation at the two-loop level
• Scheme independent consequence of the NSVZ relation for \(\mathcal N=1\) SQED with \(N_f\) flavors
• \(N=1\) supersymmetry and the three-loop anomalous dimension for the chiral superfield
• A class of the NSVZ renormalization schemes for \(\mathcal{N} = 1\)\,SQED
• The higher covariant derivative regularization as a tool for revealing the structure of quantum corrections in supersymmetric gauge theories
• The NSVZ \(\beta\)-function in supersymmetric theories with different regularizations and renormalization prescriptions
• Three-loop NSVZ relation for terms quartic in the Yukawa couplings with the higher covariant derivative regularization
• The NSVZ scheme for \(\mathcal{N} = 1\) SQED with \(N_f\) flavors, regularized by the dimensional reduction, in the three-loop approximation
• NSVZ scheme with the higher derivative regularization for \(\mathcal{N}=1\) SQED
• Non-renormalization of the \(V \overline{c} c\)-vertices in \(\mathcal{N} = 1\) supersymmetric theories
• Three-loop \(\beta\)-function of \(N=1\) supersymmetric electrodynamics regularized by higher derivatives

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