Supergravity corrections to the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>g</mml:mi><mml:mo>−</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mi>l</mml:mi></mml:msub></mml:math> factor by implicit regularization

Ottoni, José Eloy; Scarpelli, A. P. Baêta; Sampaio, Marcos; Nemes, M. C.

doi:10.1016/j.physletb.2006.09.025

Cited by 16 publications

(12 citation statements)

References 32 publications

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“…Similar analyses, in many different theories and contexts, have been carried out in Refs. [78][79][80][81][82][83][84][85][86][87][88][89][90][91].…”

Section: Ireg: Implicit Regularizationmentioning

confidence: 99%

To $${d}$$ d , or not to $${d}$$ d : recent developments and comparisons of regularization schemes

et al. 2017

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“…Similar analyses, in many different theories and contexts, have been carried out in Refs. [78][79][80][81][82][83][84][85][86][87][88][89][90][91].…”

Section: Ireg: Implicit Regularizationmentioning

confidence: 99%

To $${d}$$ d , or not to $${d}$$ d : recent developments and comparisons of regularization schemes

et al. 2017

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“…We can write eq. (27), in which the rule 3 has been not yet applied, in terms of its inverse Fourier transform, as…”

Section: The Rules 1 and 2 Of Cdrmentioning

confidence: 99%

“…The calculation of the β-function of the massless Wess-Zumino model (at three loops) was also performed as a test of the procedure [23]. A non-trivial test in a supersymmetric model was performed, in which the anomalous magnetic moment of the lepton in supergravity was successfully calculated [27]. The extension of CIR to higher loop order has been implemented and has been applied in scalar [26] and gauge theories [31].…”

Section: Introductionmentioning

confidence: 99%

On the equivalence between implicit regularization and constrained differential renormalization

et al. 2007

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Constrained Differential Renormalization (CDR) and the constrained version of Implicit Regularization (IR) are two regularization independent techniques that do not rely on dimensional continuation of the space-time. These two methods which have rather distinct basis have been successfully applied to several calculations which show that they can be trusted as practical, symmetry invariant frameworks (gauge and supersymmetry included) in perturbative computations even beyond one-loop order.In this paper, we show the equivalence between these two methods at one-loop order. We show that the configuration space rules of CDR can be mapped into the momentum space procedures of Implicit Regularization, the major principle behind this equivalence being the extension of the properties of regular distributions to the regularized ones.

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“…The cancellation of these surface terms is also a requirement to preserve Supersymmetry [17]. That is to say: they represent the symmetry restoring local counterterms.…”

Section: The Basic Divergent Integrals Which Encodementioning

confidence: 99%

“…Applications to supersymmetry can be found in [14], where the β-function of the WessZumino model is calculated to three loop order and in [17], for the calculation of the anomalous magnetic moment of the lepton in supergravity. A generalization to higher loop order was firstly sketched in [13].…”

Section: Introductionmentioning

confidence: 99%

Implicit regularization beyond one-loop order: scalar field theories

Pontes

Scarpelli

Sampaio

et al. 2007

J. Phys. G: Nucl. Part. Phys.

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Implicit regularization (IR) has been shown as an useful momentum space tool for perturbative calculations in dimension specific theories, such as chiral gauge, topological and supersymmetric quantum field theoretical models at one loop level. In this paper, we aim at generalizing systematically IR to be applicable beyond one loop order. We use a scalar field theory as an example and pave the way for the extension to quantum field theories which are richer from the symmetry content viewpoint. Particularly, we show that a natural (minimal) renormalization scheme emerges, in which the infinities displayed in terms of integrals in one internal momentum are subtracted, whereas infrared and ultraviolet modes do not mix and therefore leave no room for ambiguities. A systematic cancelation of the infrared divergences at any loop order takes place between the ultraviolet finite and divergent parts of the amplitude for non-exceptional momenta leaving, as a byproduct, a renormalization group scale.

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Supergravity corrections to the (g−2)l factor by implicit regularization

Cited by 16 publications

References 32 publications

To $${d}$$ d , or not to $${d}$$ d : recent developments and comparisons of regularization schemes

To $${d}$$ d , or not to $${d}$$ d : recent developments and comparisons of regularization schemes

On the equivalence between implicit regularization and constrained differential renormalization

Implicit regularization beyond one-loop order: scalar field theories

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