Renormalization group and decoupling in curved space, II. The standard model and beyond | Zendy

É. V. Gorbar | Zendy; Ilya L. Shapiro | Zendy

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Renormalization group and decoupling in curved space, II. The standard model and beyond

Author(s) -

É. V. Gorbar,

Ilya L. Shapiro

Publication year - 2003

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 - 10.1088/1126-6708/2003/06/004

Subject(s) - renormalization group , physics , decoupling (probability) , effective action , supersymmetry , mathematical physics , scalar (mathematics) , fermion , renormalization , conformal map , massless particle , curved space , quantum chromodynamics , quantum electrodynamics , functional renormalization group , theoretical physics , particle physics , mathematics , mathematical analysis , geometry , control engineering , engineering

We continue the study of the renormalization group and decoupling of massivefields in curved space, started in the previous article and analyse the higherderivative sector of the vacuum metric-dependent action of the Standard Model.The QCD sector at low-energies is described in terms of the composite effectivefields. For fermions and scalars the massless limit shows perfectcorrespondence with the conformal anomaly, but similar limit in a massivevector case requires an extra compensating scalar. In all three cases thedecoupling goes smoothly and monotonic. A particularly interesting case is therenormalization group flow in the theory with broken supersymmetry, where thesign of one of the beta-functions changes on the way from the UV to IR.Comment: 27 pages, 8 figure

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