Improved methods for supergraphs

Grisaru, Marcus T.; Siegel, Warren; Roček, Martin

doi:10.1016/0550-3213(79)90344-4

Cited by 891 publications

(816 citation statements)

References 23 publications

Supporting

Mentioning

794

Contrasting

Unclassified

Order By: Relevance

“…This result reveals unsolved theoretical problems which appear if DRED is used for the regularization of SUSY theories. N = 1 SUSY leads to the absence of divergent quantum corrections to the superpotential [29]. Another interesting feature of N = 1 SYM models is existence of the exact relation between the β-function and the anomalous dimension of the matter superfields, derived in Refs.…”

Section: Introductionmentioning

confidence: 91%

NSVZ scheme with the higher derivative regularization for SQED

2013

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 91%

NSVZ scheme with the higher derivative regularization for SQED

2013

View full text Add to dashboard Cite

show abstract

“…In particular, its nonrenormalization properties [1,2] and its potential for solving the hierarchy problem [3][4][5][6] make it appealing as an ingredient of phenomenology, enabling a description in terms of weakly coupled degrees of freedom. In practice however, the implementation of the principle requires breaking supersymmetry in a hidden sector and communicating the effects to observed phenomenology indirectly; for reviews see [7,8].…”

Section: Introductionmentioning

confidence: 99%

Stability of false vacuum in supersymmetric theories with cosmic strings

Kumar

Yajnik²

2009

Phys. Rev. D

View full text Add to dashboard Cite

We study the stability of supersymmetry breaking vacuum in the presence of cosmic strings arising in the messenger sector. For certain ranges of the couplings, the desired supersymmetry breaking vacua become unstable against decay into phenomenologically unacceptable vacua. This sets constraints on the range of allowed values of the coupling constants appearing in the models and more generally on the chosen dynamics of gauge symmetry breaking.

show abstract

“…The proof of the non-renormalisation theorem can be found in [21], where supersymmetric perturbation theory was used. Seiberg, avoiding the technicalities of super Feynman rules, presented in [22] and [23] an alternative derivation.…”

Section: Wilsonian and 1pi Superpotentialsmentioning

confidence: 99%

“…Seiberg, avoiding the technicalities of super Feynman rules, presented in [22] and [23] an alternative derivation. Since we are mostly interested in perturbative effects we will follow [21] and state the non renormalisation theorem as follows: All contributions to the Wilsonian effective action from loop diagrams are of the form A G = d 4 θd 4 x 1 ...d 4 x n G(x 1 , ..., x n , θ,θ), (2.1) and involve an integral over all of superspace. In particular, no contributions arise of the form A W = d 2 θd 4 x 1 ...d 4 x n W (x 1 , ..., x n , θ) + c.c., (2.2) where the integral is only over the chiral subspace of superspace.…”

Section: Wilsonian and 1pi Superpotentialsmentioning

confidence: 99%

Supersymmetric radiative flavour

Conlon

Pedro

2012

J. High Energ. Phys.

View full text Add to dashboard Cite

We examine possibilities for the radiative generation of the Yukawa couplings and flavour structure in supersymmetric models in the supersymmetric phase. Not withstanding the non-renormalisation of the Wilsonian superpotential, this can occur through the 2-loop vertex renormalisation of the physical 1PI couplings. We describe this effect and construct models in which this occurs. For models attempting to reproduce the full flavour structure of the Standard Model, we analyse the tension between such models and constraints from low-energy flavour observables. We note that the tension is weakest for the case of generating Dirac neutrino masses.

show abstract

Improved methods for supergraphs

Cited by 891 publications

References 23 publications

NSVZ scheme with the higher derivative regularization for SQED

NSVZ scheme with the higher derivative regularization for SQED

Stability of false vacuum in supersymmetric theories with cosmic strings

Supersymmetric radiative flavour

Contact Info

Product

Resources

About