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 Pis'ma v Zh. Èksper. Teoret. Fiz., 2017, Volume 105, Issue 2, Pages 57–61 (Mi jetpl5163)

FIELDS, PARTICLES, AND NUCLEI

NSVZ-like scheme for the photino mass in softly broken $N=1$ SQED regularized by higher derivatives

I. V. Nartsev, K. V. Stepanyantz

Department of Theoretical Physics, Faculty of Physics, Moscow State University, Moscow, Russia

Abstract: In the case of using the higher derivative regularization, we construct the subtraction scheme that gives the NSVZ-like relation for the anomalous dimension of the photino mass in softly broken $\mathcal{N}=1$ SQED with $N_f$ flavors in all loops. The corresponding renormalization prescription is determined by simple boundary conditions imposed on the renormalization constants. It allows fixing an arbitrariness of choosing finite counterterms in every order of the perturbation theory in such a way that the renormalization group functions defined in terms of the renormalized coupling constant satisfy the NSVZ-like relation.

 Funding Agency Grant Number Russian Foundation for Basic Research 14-01-00695_à

DOI: https://doi.org/10.7868/S0370274X17020011

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English version:
Journal of Experimental and Theoretical Physics Letters, 2017, 105:2, 69–73

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Document Type: Article

Citation: I. V. Nartsev, K. V. Stepanyantz, “NSVZ-like scheme for the photino mass in softly broken $N=1$ SQED regularized by higher derivatives”, Pis'ma v Zh. Èksper. Teoret. Fiz., 105:2 (2017), 57–61; JETP Letters, 105:2 (2017), 69–73

Citation in format AMSBIB
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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. Shakhmanov V.Yu. Stepanyantz K.V., “Three-Loop Nsvz Relation For Terms Quartic in the Yukawa Couplings With the Higher Covariant Derivative Regularization”, Nucl. Phys. B, 920 (2017), 345–367
2. Kazantsev A.E. Skoptsov M.B. Stepanyantz K.V., “One-Loop Polarization Operator of the Quantum Gauge Superfield For N=1 SYM Regularized By Higher Derivatives”, Mod. Phys. Lett. A, 32:36 (2017), 1750194
3. Shakhmanov V.Yu. Stepanyantz K.V., “New Form of the Nsvz Relation At the Two-Loop Level”, Phys. Lett. B, 776 (2018), 417–423
4. Kataev A.L. Kazantsev A.E. Stepanyantz K.V., “The Adler D-Function For N=1 SQCD Regularized By Higher Covariant Derivatives in the Three-Loop Approximation”, Nucl. Phys. B, 926 (2018), 295–320
5. Kazantsev A.E. Shakhmanov V.Yu. Stepanyantz K.V., “New Form of the Exact Nsvz Beta-Function: the Three-Loop Verification For Terms Containing Yukawa Couplings”, J. High Energy Phys., 2018, no. 4, 130
6. Kazantsev A.E. Kuzmichev M.D. Meshcheriakov N.P. Novgorodtsev S.V. Shirokov I.E. Skoptsov M.B. Stepanyantz K.V., “Two-Loop Renormalization of the Faddeev-Popov Ghosts in N=1 Supersymmetric Gauge Theories Regularized By Higher Derivatives”, J. High Energy Phys., 2018, no. 6, 020
7. Goriachuk I.O., Kataev A.L., Stepanyantz V K., “A Class of the Nsvz Renormalization Schemes For N=1 Sqed”, Phys. Lett. B, 785 (2018), 561–566
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