The renormalization of the effective Lagrangian with spontaneous symmetry breaking: the SU(2) case

Details The renormalization of the effective Lagrangian with spontaneous symmetry breaking: the SU(2) case The renormalization of the effective Lagrangian with spontaneous symmetry breaking: the SU(2) case

2002-11-19

arxiv.org/abs/hep-ph/0211301v2

Phys.Rev. D69 (2004) 085006

Physics

High Energy Physics

High Energy Physics - Phenomenology

ReVTeX, 12 figures, 22 pages, some bugs are kicked off from programs, numerical analysis is renewn

Scientific paper

10.1103/PhysRevD.69.085006

We study the renormalization of the nonlinear effective SU(2) Lagrangian up to $O(p^4)$ with spontaneous symmetry breaking. The Stueckelberg transformation, the background field gauge, the Schwinger proper time and heat kernel method, and the covariant short distance expansion technology, guarantee the gauge covariance and incooperate the Ward indentities in our calculations. The renormalization group equations of the effective couplings are derived and analyzed. We find that the difference between the results gotten from the direct method and the renormalization group equation method can be quite large when the Higgs scalar is far below its decoupling limit.

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