Exact renormalization of the photino mass in softly broken N $$ \mathcal{N} $$ = 1 SQED with N f flavors regularized by higher derivatives
| Autor: | I.V.Nartsev, K.V.Stepanyantz |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Physics
Coupling constant High Energy Physics - Theory Nuclear and High Energy Physics 010308 nuclear & particles physics Exact relation FOS: Physical sciences Position and momentum space Renormalization group 01 natural sciences Supersymmetric Gauge Theory Renormalization High Energy Physics - Theory (hep-th) Factorization Regularization (physics) 0103 physical sciences lcsh:QC770-798 Renormalization Regularization and Renormalons Renormalization Group lcsh:Nuclear and particle physics. Atomic energy. Radioactivity 010306 general physics Photino Mathematical physics |
| Zdroj: | Journal of High Energy Physics Journal of High Energy Physics, Vol 2017, Iss 4, Pp 1-37 (2017) |
| Popis: | We consider the softly broken ${\cal N}=1$ supersymmetric electrodynamics, regularized by higher derivatives. For this theory we demonstrate that the renormalization of the photino mass is determined by integrals of double total derivatives in the momentum space in all orders. Consequently, it is possible to derive the NSVZ-like exact relation between the photino mass anomalous dimension and the anomalous dimension of the matter superfields in the rigid theory by direct summation of supergraphs. It is important that both these renormalization group functions are defined in terms of the bare coupling constant, so that the considered NSVZ-like relation is valid independently of the subtraction scheme in the case of using the higher derivative regularization. The factorization of integrals defining the photino mass renormalization into integrals of double total derivatives is verified by an explicit two-loop calculation. 32 pages, 8 figures; the version accepted for publication in JHEP |
| Databáze: | OpenAIRE |
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