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

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Published 11 June 2003 Published under licence by IOP Publishing Ltd
, , Citation Eduard V. Gorbar and Ilya L. Shapiro JHEP06(2003)004 DOI 10.1088/1126-6708/2003/06/004

1126-6708/2003/06/004

Abstract

We continue the study of the renormalization group and decoupling of massive fields in curved space, started in [1] and analyse the higher derivative sector of the vacuum metric-dependent action of the Standard Model. The QCD sector at low-energies is described in terms of the composite effective fields. For fermions and scalars the massless limit shows perfect correspondence with the conformal anomaly, but similar limit in a massive vector case requires an extra compensating scalar. In all three cases the decoupling goes smoothly and monotonic. A particularly interesting case is the renormalization group flow in the theory with broken supersymmetry, where the sign of one of the beta-functions changes on the way from the UV to IR.

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10.1088/1126-6708/2003/06/004