Structure of three-loop contributions to the -function of supersymmetric QED with N flavors regularized by the dimensional reduction
Nov 18, 20155 pages
Published in:
- JETP Lett. 103 (2016) 2, 77-81
- Published: 2016
e-Print:
- 1511.05675 [hep-th]
Report number:
- INR-TH-2015-028
View in:
Citations per year
Abstract: (Springer)
In the case of using the higher derivative regularization for N = 1 supersymmetric quantum electrodynamics (SQED) with N 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 N flavors regularized by the dimensional reduction in the -scheme. Evaluating the scheme-dependent three-loop contribution to the β-function proportional to (N) we find the structures analogous to integrals of the δ-singularities. After adding the schemeindependent terms proportional to (N), we obtain the known result for the three-loop β-function.Note:
- 8 pages
- loop integral
- derivative: high
- regularization
- flavor
- dimensional reduction
- renormalization group
- beta function
- quantum electrodynamics: supersymmetry
References(32)
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