Supergraph Techniques and Two-Loop Beta-Functions for Renormalizable and Non-Renormalizable Operators | Zendy

Stefan Antusch | Zendy; Michael Ratz | Zendy

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Supergraph Techniques and Two-Loop Beta-Functions for Renormalizable and Non-Renormalizable Operators

Author(s) -

Stefan Antusch,

Michael Ratz

Publication year - 2002

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2002/07/059

Subject(s) - superpotential , physics , particle physics , epigraph , yukawa potential , supersymmetry , operator (biology) , renormalization , minimal supersymmetric standard model , mathematical physics , beta function (physics) , supergravity , renormalization group , quantum mechanics , mathematics , quantum gravity , mathematical optimization , biochemistry , chemistry , repressor , transcription factor , gene , relationship between string theory and quantum field theory , quantum

We present a construction kit for calculating two-loop beta functions in N=1supersymmetric theories for the operators of the superpotential usingsupergraph techniques. In particular, it allows to compute the beta functionsfor every desired, even higher dimensional, operator of the superpotential fromthe wavefunction renormalization constants of the theory. We apply this methodto calculate the two-loop beta functions for the lowest-dimensional effectiveneutrino mass operator in the Minimal Supersymmetric Standard Model (MSSM) andfor the Yukawa couplings in the MSSM extended by singlet superfields and themass matrix for the latter. Our method can be applied to any N=1 supersymmetrictheory.Comment: 15 pages, 13 figures; error in two-loop trace terms correcte

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