Further investigation on the precise formulation of the equivalence theorem

Journal Article · Sun May 01 00:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.49.4842· OSTI ID:5010686

He, H ^[1]; Kuang, Y ^[2]; Li, X ^[3]

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1. China Center for Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080 (China) Department of Physics, Tsinghua University, Beijing 100084 (China)
2. China Center for Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080 (China) Institute of Modern Physics, Tsinghua University, Beijing 100084 (China) Institute of Theoretical Physics, Academia Sinica, Beijing 100080 (China)
3. China Center for Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080 (China) Institute of Theoretical Physics, Academia Sinica, Beijing 100080 (China)

Based on a systematic analysis of the renormalization schemes in the general [ital R][sub [xi]] gauge, the precise formulation of the equivalence theorem for longitudinal weak boson scatterings is given both in the SU(2)[sub [ital L]] Higgs theory and in the realistic SU(2)[times]U(1) electroweak theory to all orders in the perturbation for an arbitrary Higgs boson mass [ital m][sub [ital H]]. It is shown that there is generally a renormalization-scheme- and [xi]-dependent modification factor [ital C][sub mod] and a simple formula for [ital C][sub mod] is obtained. Furthermore, a convenient particular renormalization scheme is proposed in which [ital C][sub mod] is exactly unity. Results of [ital C][sub mod] in other currently used schemes are also discussed especially on their [xi] and [ital m][sub [ital H]] dependence through explicit one-loop calculations. It is shown that in some currently used schemes the deviation of [ital C][sub mod] from unity and the [xi] dependence of [ital C][sub mod] are significant even in the large-[ital m][sub [ital H]] limit. Therefore care should be taken when applying the equivalence theorem.

• OSTI ID: 5010686
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 49:9; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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INTERMEDIATE VECTOR BOSONS
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