Restoring the Bloch-Nordsieck theorem in the electroweak sector of the standard model

Abstract

The electroweak gauge symmetry cannot be broken in a literal sense due to Elitzur's theorem. Thus, asymptotic states need to be manifestly and non-perturbatively gauge-invariant with respect to the electroweak symmetry. To take this suitably into account perturbation theory augmented by the Fröhlich-Morchio-Strocchi mechanism can be used. We show that this restores the Bloch-Nordsieck theorem in electroweak processes in the standard model. This has potentially substantial impact at, e.g., future lepton colliders, but has only negligible effects at lower energies. We also demonstrate an alternative implementation using PDFs, which allows an approach with manifest electroweak Bloch-Nordsieck theorem also at hadron colliders.

8 pages; v2: minor improvements and added short section about implications for the Kinoshita-Lee-Nauenberg theorem; version to appear in PRD

References in corpus (7)

• Parton distributions and lattice QCD calculations: toward 3D structure
• (Non-)Aligned gauges and global gauge symmetry breaking
• Gauge-invariant description of the Higgs resonance and its phenomenological implications
• Vector boson scattering from the lattice
• Constraining the Higgs valence contribution in the proton
• Testing the mechanism of lepton compositness
• Bloch-Nordsieck restoration in llbar -> qqbar

Cited by in corpus (2)

• The manifestly gauge-invariant spectrum of the Minimal Supersymmetric Standard Model
• The Fröhlich-Morchio-Strocchi mechanism: A underestimated legacy