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Forests, Groves and Higgs Bosons: Gauge Invariance Classes in Spontaneously Broken Gauge Theories

T. Ohl·C. Schwinn
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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 linear realized scalar sector in R_ξgauge, no additional nontrivial gauge invariance classes exist compared to the unbroken case.

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T. Ohl, C. Schwinn. 2003-10-09. Forests, Groves and Higgs Bosons: Gauge Invariance Classes in Spontaneously Broken Gauge Theories. https://doi.org/10.1140/epjc%2Fs2003-01313-3

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