Structure of three-loop contributions to the β-function of N = 1 supersymmetric QED with Nf flavors regularized by the dimensional reduction
- Авторы: Aleshin S.S.1, Kataev A.L.2, Stepanyantz K.V.1
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Учреждения:
- Department of Theoretical Physics, Faculty of Physics
- Institute for Nuclear Research
- Выпуск: Том 103, № 2 (2016)
- Страницы: 77-81
- Раздел: Fields, Particles, and Nuclei
- URL: https://journals.rcsi.science/0021-3640/article/view/158957
- DOI: https://doi.org/10.1134/S0021364016020028
- ID: 158957
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Аннотация
In the case of using the higher derivative regularization for N = 1 supersymmetric quantum electrodynamics (SQED) with Nf flavors, the loop integrals giving the β-function are integrals of double total derivatives in themomentum space. This feature allows reducing one of the loop integrals to an integral of the δ-function and deriving the Novikov–Shifman–Vainshtein–Zakharov relation for the renormalization group functions defined in terms of the bare coupling constant. We consider N = 1 SQED with Nf flavors regularized by the dimensional reduction in the \(\overline {DR} \)-scheme. Evaluating the scheme-dependent three-loop contribution to the β-function proportional to (Nf)2 we find the structures analogous to integrals of the δ-singularities. After adding the schemeindependent terms proportional to (Nf)1, we obtain the known result for the three-loop β-function.
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Об авторах
S. Aleshin
Department of Theoretical Physics, Faculty of Physics
Email: stepan@m9com.ru
Россия, Moscow, 119991
A. Kataev
Institute for Nuclear Research
Email: stepan@m9com.ru
Россия, Moscow, 117312
K. Stepanyantz
Department of Theoretical Physics, Faculty of Physics
Автор, ответственный за переписку.
Email: stepan@m9com.ru
Россия, Moscow, 119991
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