On the scope of supersymmetric dimensional regularization

Avdeev, L.V.; Chochia, G.A.; Vladimirov, A. A.

doi:10.1016/0370-2693(81)90886-8

Cited by 111 publications

(81 citation statements)

References 10 publications

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“…Moreover, our opinion is that even if some tricks were devised to avoid the ambiguities known to be present in the NDR and DRED schemes [37], the approach we propose would be neverteless simpler thanks to the unified treatment of the evanescent and relevant operators.…”

Section: Discussionmentioning

confidence: 99%

QCD corrections to electroweak processes in an unconventional scheme: application to the b→sγ decay

et al. 1994

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In this work we give a detailed description of a method for the calculation of QCD corrections to electroweak processes in dimensional regularization that does not require any definition of the γ 5 matrix in d dimensions. This method appears particularly convenient in order to limit the algebraic complexity of higher order calculations. As an example, we compute the leading logarithmic corrections to the b → sγ decay.

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Section: Discussionmentioning

confidence: 99%

QCD corrections to electroweak processes in an unconventional scheme: application to the b→sγ decay

et al. 1994

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“…This regularization is mathematically consistent unlike the dimensional reduction [24]. (Removing the inconsistencies of the dimensional reduction leads to the loss of the explicit supersymmetry [25], which can be in this case broken by higher order quantum corrections [26][27][28].) The higher covariant derivative regularization can be formulated in the explicitly N = 1 supersymmetric way [29,30], so that it does not break supersymmetry.…”

Section: Jhep05(2016)014mentioning

confidence: 99%

One-loop divergences in non-Abelian supersymmetric theories regularized by BRST-invariant version of the higher derivative regularization

Aleshin

Kazantsev

Skoptsov

et al. 2016

J. High Energ. Phys.

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We consider a general non-Abelian renormalizable N = 1 supersymmetric gauge theory, regularized by higher covariant derivatives without breaking the BRST invariance, and calculate one-loop divergences for a general form of higher derivative regulator and of the gauge fixing term. It is demonstrated that the momentum integrals giving the one-loop β-function are integrals of double total derivatives independently of a particular choice of the higher derivative term. Evaluating them we reproduce the well-known result for the one-loop β-function. Also we find that the three-point ghost vertices with a single line of the quantum gauge superfield are not renormalized in the considered approximation.

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“…However, it is well known that DRED is not mathematically consistent [20]. Its inconsistency leads to the loss of explicit SUSY [21], which will be broken by quantum corrections in higher loops [22,23]. Nevertheless, a recent analytical calculation [24] demonstrates that the DRED regularization and the DR scheme are working in the N = 4 SYM theory up to the four-loop approximation and give the vanishing result for its β-function.…”

Section: Introductionmentioning

confidence: 99%

NSVZ scheme with the higher derivative regularization for SQED

2013

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The exact NSVZ relation between a β-function of N = 1 SQED and an anomalous dimension of the matter superfields is studied within the Slavnov higher derivative regularization approach. It is shown that if the renormalization group functions are defined in terms of the bare coupling constant, this relation is always valid. In the renormalized theory the NSVZ relation is obtained in the momentum subtraction scheme supplemented by a special finite renormalization. Unlike the dimensional reduction, the higher derivative regularization allows to fix this finite renormalization. This is made by imposing the conditions Z 3 (α, µ = Λ) = 1 and Z(α, µ = Λ) = 1 on the renormalization constants of N = 1 SQED, where Λ is a parameter in the higher derivative term. The results are verified by the explicit three-loop calculation. In this approximation we relate the DR scheme and the NSVZ scheme defined within the higher derivative approach by the finite renormalization.

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On the scope of supersymmetric dimensional regularization

Cited by 111 publications

References 10 publications

QCD corrections to electroweak processes in an unconventional scheme: application to the b→sγ decay

QCD corrections to electroweak processes in an unconventional scheme: application to the b→sγ decay

One-loop divergences in non-Abelian supersymmetric theories regularized by BRST-invariant version of the higher derivative regularization

NSVZ scheme with the higher derivative regularization for SQED

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