An extension of the linear delta expansion to superspace

Abdalla, M. C. B.; Helayël-Neto, J. A.; Nedel, Daniel L.; Senise, C. R.

doi:10.1103/physrevd.77.125020

Cited by 8 publications

(25 citation statements)

References 32 publications

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“…Along this line -in view of the breaking of R symmetry -we are also pursuing a more phenomenological investigation, by applying the results reported here to analyze the decay modes of the socalled lightest supersymmetric particle into standard model particles. We shall be reporting on these questions elsewhere [23].…”

Section: Discussionmentioning

confidence: 99%

Superspace evaluation of the two-loop effective potential for the O’Raifeartaigh model

et al. 2010

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All-order spurion-corrected superpropagators and superfield Feynman rules are employed to sys- In the case of supersymmetric theories, the effective potential can be directly calculated in superspace, by using supergraphs. In general, the supereffective action is described by two functions of the chiral and the antichiral superfields; one is required to be a holomorphic function and the other one, called Kähler potential, less constrained, is required to be just a real function. The holomorphic part of the superpontential is very constrained, which is reflected in various nonrenormalization theorems, leading to results to all orders in perturbation theory [1], and even nonperturbative results in some cases [2]. For models with spontaneous supersymmetry (SUSY) breaking, the effective potential can be calculated by using superspace techniques even if soft explicit breaking terms are introduced in the superspace action; this yields spurion insertions. These terms have been carefully classified and studied by Girardello and Grisaru [3]. This approach to study SUSY breaking is very powerful because it leaves most of the supersymmetric structure intact. In fact, as the full supersymmetric and the supersymmetry breaking terms are represented as interactions in superspace, the renormalization can be performed systematically directly in superspace.In general, the background field method is adopted to calculate the effective potential.In this method, the scalar fields of the theory are each separated into a constant classical background plus quantum fluctuations. Using this approach, the effective potential is equal

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Section: Discussionmentioning

confidence: 99%

Superspace evaluation of the two-loop effective potential for the O’Raifeartaigh model

et al. 2010

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“…We adopt a superfield approach and follow Refs. [13,14,26]. Building up our superspace action in terms of chiral and antichiral supermultiplets, we start off from what we call the interpolated Lagrangian L :…”

Section: Catching-up Of Superspace Linear Delta Expansionmentioning

confidence: 99%

“…[14], the renormalization of the effective potential up to the order 2 is discussed. At the order 1 , the counterterm below is needed:…”

Section: Catching-up Of Superspace Linear Delta Expansionmentioning

confidence: 99%

“…In Ref. [14], it was shown that, after the optimization, only the Kähler potential is actually renormalized.…”

Section: Catching-up Of Superspace Linear Delta Expansionmentioning

confidence: 99%

“…In a series of previous works [13,14], we have adopted the minimal O'Raifeartaigh model [1], which realizes SUSY violation by means of the so-called F terms, and we have devised a technique to approach the problem with the use of superfield and supergraph techniques. To get a richer perturbative series, we have chosen the so-called linear delta expansion (LDE) 1 and we have coupled this method to our superfield methods.…”

Section: Introductionmentioning

confidence: 99%

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Supergraph approach in a higher-order linear delta expansion calculation of the effective potential forF-type broken supersymmetry

et al. 2012

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In this work, we adopt the simplest model that spontaneously breaks supersymmetry, namely, the minimal O'Raifeartaigh model. The effective potential is computed in the framework of the linear delta expansion approach up to the order 2 , conjugated with superspace and supergraph techniques. The latter can be duly mastered even if supersymmetry is no longer exact, and the efficacy of the superfield approach in connection with the linear delta expansion procedure is confirmed according to our investigation. That opens up a way for a semi-nonperturbative superspace computation that allows us to deal with spontaneously broken supersymmetric models and encourages us to go further and apply this treatment to the minimal supersymmetric Standard Model precision tests.

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Reliability of the optimized perturbation theory in the 0-dimensional O(N) scalar field model

Rosa

Farias

Ramos

2016

Physica A: Statistical Mechanics and its Applications

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We address the reliability of the Optimized Perturbation Theory (OPT) in the context of the 0-dimensional O(N ) scalar field model. The effective potential, the self-energy and the 1PI four-point Green's function for the model are computed using different optimization schemes and the results contrasted to the exact results for the model. Our results are also compared to those obtained with the 1/N -expansion and with those from ordinary perturbation theory. The OPT results are shown to be stable even at large couplings and to have better convergence properties than the ones produced in the 1/N -expansion. It is also shown that the principle of minimal sensitive optimization procedure used in conjunction with the OPT method tends to always produce better results, in particular when applied directly to the selfenergy.

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An extension of the linear delta expansion to superspace

Cited by 8 publications

References 32 publications

Superspace evaluation of the two-loop effective potential for the O’Raifeartaigh model

Superspace evaluation of the two-loop effective potential for the O’Raifeartaigh model

Supergraph approach in a higher-order linear delta expansion calculation of the effective potential forF-type broken supersymmetry

Reliability of the optimized perturbation theory in the 0-dimensional O(N) scalar field model

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