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Forests, groves and Higgs bosons

Gauge invariance classes in spontaneously broken gauge theories

  • theoretical physics
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Abstract.

We determine the gauge invariance classes of tree level Feynman diagrams in spontaneously broken gauge theories, providing a proof for the formalism of gauge and flavor flips. We find new gauge invariance classes in theories with a nonlinearly realized scalar sector. In unitarity gauge, the same gauge invariance classes correspond to a decomposition of the scattering amplitude into pieces that satisfy the relevant Ward identities individually. In theories with a linearly realized scalar sector in \(R_\xi\) gauge, no additional non-trivial gauge invariance classes exist compared to the unbroken case.

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Authors and Affiliations

  1. Institut für Theoretische Physik und Astrophysik, Universität Würzburg, Am Hubland, 97074, Würzburg, Germany

    T. Ohl & C. Schwinn

  2. Institut für Kernphysik, Darmstadt University of Technology, Schloßgartenstr. 9, 64289, Darmstadt, Germany

    C. Schwinn

Authors
  1. T. Ohl
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  2. C. Schwinn
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Correspondence to T. Ohl.

Additional information

Received: 2 June 2003, Revised: 21 July 2003, Published online: 5 September 2003

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Ohl, T., Schwinn, C. Forests, groves and Higgs bosons. Eur. Phys. J. C 30, 567–582 (2003). https://doi.org/10.1140/epjc/s2003-01313-3

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  • DOI: https://doi.org/10.1140/epjc/s2003-01313-3

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