Effective action of softly broken supersymmetric theories

Nibbelink, Stefan Groot; Nyawelo, Tino S.

doi:10.1103/physrevd.75.045002

Cited by 8 publications

(15 citation statements)

References 39 publications

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“…This can be compared with the general formula [61] 51) and the result of [21] for the curvature of the tree-level Kähler potential of the light fields when vector multiplets are integrated out:…”

Section: Gauging the G ′ Symmetrymentioning

confidence: 99%

General gauge mediation with gauge messengers

Intriligator

Sudano

2010

J. High Energ. Phys.

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We generalize the General Gauge Mediation formalism [13] to allow for the possibility of gauge messengers. Gauge messengers occur when charged matter fields of the susy-breaking sector have non-zero F-terms, which leads to tree-level, susy-breaking mass splittings in the gauge fields. A classic example is that SU(5) GUT /SU(3) × SU(2) × U(1) gauge fields could be gauge messengers. We give a completely general, model independent, current-algebra based analysis of gauge messenger mediation of susy-breaking to the visible sector. Characteristic aspects of gauge messengers include enhanced contributions to gaugino masses, (tachyonic) sfermion mass-squareds generated already at one loop, and also at two loops, and significant one-loop A-terms, already at the messenger scale.

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Section: Gauging the G ′ Symmetrymentioning

confidence: 99%

General gauge mediation with gauge messengers

Intriligator

Sudano

2010

J. High Energ. Phys.

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“…The superpotential does not receive any quantum corrections in consequence of the SUSY nonrenormalization theorem [138]. The renormalization of the Kähler potential is, however, nontrivial and results in a one-loop effective Kähler potential K 1 [139][140][141][142].…”

Section: Explicit Breaking Of the Shift Symmetrymentioning

confidence: 99%

“…Alternatively, Eq. (125) can also be derived in a superspace language that applies to models of softly broken global supersymmetry [142]. In this approach, one first integrates out the heavy vector multiplet V such that supersymmetry is softly (and explicitly) broken in the effective theory at low energies.…”

Section: Scalar Potential In the Inflaton Sectormentioning

confidence: 99%

Inflation from high-scale supersymmetry breaking

Domcke

Schmitz

2018

Phys. Rev. D

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Supersymmetry breaking close to the scale of grand unification can explain cosmic inflation. As we demonstrate in this paper, this can be achieved in strongly coupled supersymmetric gauge theories, such that the energy scales of inflation and supersymmetry breaking are generated dynamically. As a consequence, both scales are related to each other and exponentially suppressed compared to the Planck scale. As an example, we consider a dynamical model in which gauging a global flavor symmetry in the supersymmetry-breaking sector gives rise to a Fayet-Iliopoulos D term. This results in successful D-term hybrid inflation in agreement with all theoretical and phenomenological constraints. The gauged flavor symmetry can be identified with Uð1Þ B−L , where B and L denote baryon and lepton number, respectively. In the end, we arrive at a consistent cosmological scenario that provides a unified picture of high-scale supersymmetry breaking, viable D-term hybrid inflation, spontaneous B − L breaking at the scale of grand unification, baryogenesis via leptogenesis, and standard model neutrino masses due to the type-I seesaw mechanism.

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“…In order to calculate the first term of the effective action defined by (8), one can adopt the same techniques as in [16], and write this term as a supertrace:…”

Section: Lde In the O'raifeartaigh Modelmentioning

confidence: 99%

“…long time ago in [17]. Using these techniques, the new propagators can be written as (here we write only the 1 1 , 0 1 , and 1 2 propagators, since only these appear in the order-1 effective potential)Also, we can write the new Feynman rules for the vertices:1 2 vertex:In order to calculate the first term of the effective action defined by (8), one can adopt the same techniques as in [16], and write this term as a supertrace:where, and the notation Tr refers to the trace over the chiral multiplets in the real basis defined by the vector ðÈ T ; " ÈÞ T . P is the matrix defined by the chiral projectors…”

mentioning

confidence: 99%

Linear delta expansion applied to the O’Raifeartaigh model

et al. 2009

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We reassess the method of the linear delta expansion for the calculation of effective potentials in superspace, by adopting the improved version of the super-Feynman rules in the framework of the O'Raifeartaigh model for spontaneous supersymmetry breaking. The effective potential is calculated using both the fastest apparent convergence and the principle of minimal sensitivity criteria and the consistency and efficacy of the method are checked in deriving the Coleman-Weinberg potential. DOI: 10.1103/PhysRevD.80.065002 PACS numbers: 11.10.Ef, 11.30.Pb O'Raifeartaigh-type models for spontaneous breaking of supersymmetry (SUSY) have recently received renewed attention. According to the Nelson-Seiberg theorem [1], all these models have an R symmetry, which plays an important role in SUSY breaking. However, in order to have nonzero Majorana gaugino masses, R symmetry needs to be broken [2]. Since the simplest original O'Raifeartaigh model [3] does not spontaneously break R symmetry, generalized O'Raifeartaigh models, which spontaneously violate R symmetry, have been constructed [2,4,5].In many generalized O'Raifeartaigh models, R symmetry is spontaneously broken by the pseudomoduli, which are charged under R symmetry and acquire a nonzero vacuum expectation value via effective potential. Using this approach, it was shown how to build up models that break R symmetry at one-loop via the Coleman-Weinberg potential [6,7].Since the Coleman-Weinberg potential [8] is a sum of all one-loop diagrams of the theory, it is very interesting to develop methods that account for higher loop corrections in the effective potential of O'Raifeartaigh-type models and go beyond the approximation used in [6]. There are two traditional ways to make resummations in supersymmetric and nonsupersymmetric quantum field theories: the diagrammatic calculation and the functional calculation [8,9]. Both are very difficult to use if we are interested in going beyond the Coleman-Weinberg approximation. Mainly because it is necessary to work with infinite diagrams, which turns the renormalization procedure into a heavy task.Over the past years, an alternative resummation method has been developed, namely, the linear delta expansion (LDE) [10]. This method can easily reproduce the Coleman-Weinberg potential, and the use of the LDE in various quantum field theory models has proven to be a powerful tool to derive new nonperturbative results [11,12]. In [13], the method was further developed to be applied to supersymmetric theories in superspace, where the Coleman-Weinberg potential has been derived and twoloop corrections for the Kähler potential of the WessZumino model have been computed. The main characteristic of the method is to use a traditional perturbative approach together with an optimization procedure. So, in order to derive a nonperturbative result, it is just necessary to work with a few diagrams and use perturbative renormalization techniques.The main goal of this paper is to show that the LDE can also be a powerful method to derive nonpe...

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Effective action of softly broken supersymmetric theories

Cited by 8 publications

References 39 publications

General gauge mediation with gauge messengers

General gauge mediation with gauge messengers

Inflation from high-scale supersymmetry breaking

Linear delta expansion applied to the O’Raifeartaigh model

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