The four-loop DRED gauge β-function and fermion mass anomalous dimension for general gauge groups

Jack, I.; Jones, D.R.T.; Kant, Philipp; Mihaila, L.

doi:10.1088/1126-6708/2007/09/058

Cited by 23 publications

(27 citation statements)

References 27 publications

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“…[22], even after correcting them in Refs. [27,28], show that the β-function obtained from the fermion-fermion-vector, scalar-scalar-vector and ghost-ghost-vector vertexes vanishes, but obtaining the β-function from the fermion-fermionscalar vertex gives a non-vanishing result in the three-loop approximation [28]. This result reveals unsolved theoretical problems which appear if DRED is used for the regularization of SUSY theories.…”

Section: Introductionmentioning

confidence: 95%

“…The results of the one- [38] and two-loop [39] calculations agree with the NSVZ β-function, because a two-loop β-function and a one-loop anomalous dimension are scheme independent in theories with a single coupling constant. In higher orders [36,27,40] the exact NSVZ β-function for the RG functions defined in terms of the renormalized coupling constant can be obtained with the DR scheme after an additional finite renormalization. This finite renormalization should be fixed in each order of the perturbation theory, starting from the three-loop approximation [35,36,37,27].…”

Section: Introductionmentioning

confidence: 99%

“…In higher orders [36,27,40] the exact NSVZ β-function for the RG functions defined in terms of the renormalized coupling constant can be obtained with the DR scheme after an additional finite renormalization. This finite renormalization should be fixed in each order of the perturbation theory, starting from the three-loop approximation [35,36,37,27]. However, there is no general prescription, how one should construct this finite renormalization using the DR scheme.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Introductionmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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NSVZ scheme with the higher derivative regularization for SQED

2013

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“…However, it was also necessary to construct the subtraction scheme in which the NSVZ β-function is valid. The explicit loop calculations [11][12][13][14][15] (see [16] for a review) made with the dimensional reduction [17] in the DR-scheme agree with the NSVZ β-function only after a special finite renormalization which should be constructed in each order [12,18]. Up to now, there is no general prescription how to do it in an arbitrary order.…”

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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“…They are mainly connected to the fact that for the calculation of C 0 1 it is convenient to use DRED [32][33][34][35] whereas the calculations within the effective theory of Eq. (1) are performed with the help of DREG.…”

Section: Renormalization and Evanescent Couplingsmentioning

confidence: 99%

Supersymmetric next-to-next-to-leading order corrections to Higgs boson production in gluon fusion

Pak

Steinhauser

Zerf

2012

J. High Energ. Phys.

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We compute the total cross section for the production of a light CP even Higgs boson within the framework of supersymmetric QCD up to next-to-next-to-leading order. Technical subtleties in connection to the evaluation of three-loop Feynman integrals with many mass scales are discussed in detail and explicit results for the counterterms of the evanescent couplings are provided. The new results are applied to several phenomenological scenarios which are in accordance with the recent discovery at the LHC. In a large part of the still allowed parameter space the K factor of the supersymmetric theory is close to the one of the Standard Model. However, for the case where one of the top squarks is light, a deviation of more than 5% in the next-to-next-to-leading order prediction of the cross section can be observed where at the same time the predicted Higgs boson mass has a value of about 125 GeV.

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The four-loop DRED gauge β-function and fermion mass anomalous dimension for general gauge groups

Cited by 23 publications

References 27 publications

NSVZ scheme with the higher derivative regularization for SQED

NSVZ scheme with the higher derivative regularization for SQED

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

Supersymmetric next-to-next-to-leading order corrections to Higgs boson production in gluon fusion

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