Exploratory study of the off-shell properties of the weak vector bosons

Abstract

Gauge invariance requires even in the weak interactions that physical, observable particles are described by gauge-invariant composite operators. Such operators have the same structure as those describing bound states, and consequently the physical versions of the $W^{\pm }$, the $Z$, and the Higgs should have some kind of substructure. To test this consequence, we use lattice gauge theory to study the physical weak vector bosons off-shell, especially their form-factor and weak radius, and compare the results to the ones for the elementary particles. We find that the physical particles show substantial deviations from the structure of a point-like particle. At the same time the gauge-dependent elementary particles exhibit unphysical behavior.

arXiv comment29 pages, 12 figures, 3 tables; v2: Substantially improved fit form, changes in presentation

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Cited by in corpus (13)

• Gauge Symmetries, Symmetry Breaking, and Gauge-Invariant Approaches
• Gauge-invariant description of the Higgs resonance and its phenomenological implications
• Analytical relations for the bound state spectrum of gauge theories with a Brout-Englert-Higgs mechanism
• More on the three-gluon vertex in SU(2) Yang-Mills theory in three and four dimensions
• Vector boson scattering from the lattice
• A composite massless vector boson
• Constraining the Higgs valence contribution in the proton
• Restoring the Bloch-Nordsieck theorem in the electroweak sector of the standard model
• Testing the mechanism of lepton compositness
• The quenched SU(2) scalar-gluon vertex in minimal Landau gauge
• Exploratory applications of the Fröhlich-Morchio-Strocchi mechanism in quantum gravity
• Investigating vector boson scattering: A fully gauge-invariant study
• The Fröhlich-Morchio-Strocchi mechanism: A underestimated legacy