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

Nartsev, I. V.; Stepanyantz, K. V.

doi:10.1134/s0021364017020059

Cited by 36 publications

(57 citation statements)

References 58 publications

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“…These expressions should be compared with Eqs. (25) and (26). With the help of the standard equations describing how RGFs transform under finite renormalizations [60] we obtain the finite renormalization after which RGFs in the on-shell scheme are converted into RGFs in the DR+NSVZ scheme,…”

Section: Relations Between the On-shell Scheme And Other Nsvz Schemesmentioning

confidence: 99%

“…Here is the dimensionful parameter of the regularized theory, and μ is the subtraction point. Note the HD+MSL prescription gives the NSVZ-and NSVZ-like schemes for various theories, e.g., for the photino mass in the electrodynamics with softly broken supersymmetry [26] 2 or for the Adler D-function in N = 1 SQCD [30]. 3 There are indications that the NSVZ scheme in the non-Abelian case is also given by this prescription in all orders [36].…”

Section: Introductionmentioning

confidence: 99%

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On-shell renormalization scheme for $${{\mathcal {N}}}=1$$ SQED and the NSVZ relation

2019

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In this paper we investigate the renormalization of N = 1 supersymmetric quantum electrodynamics, regularized by higher derivatives, in the on-shell scheme. It is demonstrated that in this scheme the exact Novikov, Shifman, Vainshtein, and Zakharov (NSVZ) equation relating the β-function to the anomalous dimension of the matter superfields is valid in all orders of the perturbation theory. This implies that the on-shell scheme enters the recently constructed continuous set of NSVZ subtraction schemes. To verify this statement, we compare the anomalous dimension of the matter superfields in the two-loop approximation and the β-function in the three-loop approximation, which are explicitly calculated in this scheme. The finite renormalizations relating the on-shell scheme to some other NSVZ subtraction schemes formulated previously are obtained.

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Section: Relations Between the On-shell Scheme And Other Nsvz Schemesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On-shell renormalization scheme for $${{\mathcal {N}}}=1$$ SQED and the NSVZ relation

2019

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“…[59] for a more detailed explanation) we will call this renormalization prescription "HD + MSL", where HD means that the theory should be regularized by higher derivatives and MSL is the abbreviation for minimal subtractions of logarithms. Note that HD + MSL also gives the NSVZ-like schemes for the Adler Dfunction in N = 1 SQCD [60] and for the anomalous dimension of the photino mass in softly broken N = 1 SQED [61]. It was suggested in ref.…”

Section: Jhep04(2018)130mentioning

confidence: 99%

New form of the exact NSVZ β-function: the three-loop verification for terms containing Yukawa couplings

Kazantsev

Shakhmanov

Stepanyantz

2018

J. High Energ. Phys.

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We investigate a recently proposed new form of the exact NSVZ β-function, which relates the β-function to the anomalous dimensions of the quantum gauge superfield, of the Faddeev-Popov ghosts, and of the chiral matter superfields. Namely, for the general renormalizable N = 1 supersymmetric gauge theory, regularized by higher covariant derivatives, the sum of all three-loop contributions to the β-function containing the Yukawa couplings is compared with the corresponding two-loop contributions to the anomalous dimensions of the quantum superfields. It is demonstrated that for the considered terms both new and original forms of the NSVZ relation are valid independently of the subtraction scheme if the renormalization group functions are defined in terms of the bare couplings. This result is obtained from the equality relating the loop integrals, which, in turn, follows from the factorization of the integrals for the β-function into integrals of double total derivatives. For the renormalization group functions defined in terms of the renormalized couplings we verify that the NSVZ scheme is obtained with the higher covariant derivative regularization supplemented by the subtraction scheme in which only powers of ln Λ/µ are included into the renormalization constants.

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“…For the anomalous dimension of the photino mass in softly broken N = 1 SQED it was demonstrated in [48]. As a consequence, in the cases mentioned above the NSVZ-like schemes are given by the HD + MSL prescription in all loops [25,49]. For non-Abelian theories numerous calculations demonstrate similar features of quantum corrections as in the Abelian case [27,[50][51][52][53][54][55][56].…”

Section: Jhep06(2018)020mentioning

confidence: 67%

Two-loop renormalization of the Faddeev-Popov ghosts in $$ \mathcal{N}=1 $$ supersymmetric gauge theories regularized by higher derivatives

Kazantsev

Kuzmichev

Meshcheriakov

et al. 2018

J. High Energ. Phys.

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For the general renormalizable N = 1 supersymmetric gauge theory we investigate renormalization of the Faddeev-Popov ghosts using the higher covariant derivative regularization. First, we find the two-loop anomalous dimension defined in terms of the bare coupling constant in the general ξ-gauge. It is demonstrated that for doing this calculation one should take into account that the quantum gauge superfield is renormalized in a nonlinear way. Next, we obtain the two-loop anomalous dimension of the Faddeev-Popov ghosts defined in terms of the renormalized coupling constant and examine its dependence on the subtraction scheme.

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

Cited by 36 publications

References 58 publications

On-shell renormalization scheme for $${{\mathcal {N}}}=1$$ SQED and the NSVZ relation

On-shell renormalization scheme for $${{\mathcal {N}}}=1$$ SQED and the NSVZ relation

New form of the exact NSVZ β-function: the three-loop verification for terms containing Yukawa couplings

Two-loop renormalization of the Faddeev-Popov ghosts in $$ \mathcal{N}=1 $$ supersymmetric gauge theories regularized by higher derivatives

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