Dispersion Relations and Finite Size Effects in High-energy Electroweak Interactions

Apr, 1990
23 pages
Published in:
  • Nucl.Phys.B 347 (1990) 371-393
  • Published: 1990
Report number:
  • LBL-28980,
  • UCB-PTH-90-17,
  • IFUP-TH-13-90

Citations per year

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Abstract: (Elsevier)
Dispersion relations between the forward elastic scattering amplitude and the total inclusive cross section are shown to hold for ( B + L )-violating instanton-induced interactions in the electroweak sector of the Standard Model and in the two-dimensional abelian Higgs model. The result is due to instanton-anti-instanton interactions, which are evaluated in the framework of the dilute instanton approximation. Within that framework finite instanton-size corrections are considered, and it is shown that their effect is not sufficient to suppress multiple gauge vector or Higgs scalar production below the threshold E 0 ≈ M H / α W . These processes may be sensitive to deviations from the dilute gas approximation.
  • electroweak interaction: high energy behavior
  • high energy behavior: electroweak interaction
  • baryon number: violation
  • lepton number: violation
  • fermion fermion: interaction
  • interaction: fermion fermion
  • elastic scattering: forward scattering
  • forward scattering: elastic scattering
  • scattering amplitude
  • total cross section: inclusive reaction