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High Energy Physics - Phenomenology

arXiv:hep-ph/0211301 (hep-ph)
[Submitted on 19 Nov 2002 (v1), last revised 16 Dec 2002 (this version, v2)]

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

Authors:Qi-Shu Yan, Dong-Sheng Du
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Abstract: 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.
Comments: ReVTeX, 12 figures, 22 pages, some bugs are kicked off from programs, numerical analysis is renewn
Subjects: High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:hep-ph/0211301
  (or arXiv:hep-ph/0211301v2 for this version)
  https://doi.org/10.48550/arXiv.hep-ph/0211301
Journal reference: Phys.Rev. D69 (2004) 085006
Related DOI: https://doi.org/10.1103/PhysRevD.69.085006

Submission history

From: Yan QiShu [view email]
[v1] Tue, 19 Nov 2002 14:09:40 UTC (38 KB)
[v2] Mon, 16 Dec 2002 16:19:58 UTC (38 KB)
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