TY - JOUR

T1 - Dispersion relations and finite-size effects in high-energy electroweak interactions

AU - Porrati, Massimo

N1 - Funding Information:
* This work was supported in part by the Director, Office of High Energy and Nuclear Physics, Division of High Energy Physics of the US Department of Energy under Contract DE-ACO3-76SF00098 and in part by the National Science Foundation under Research Grant PHY85-15857. * In all papers on the subject it is assumed that the Higgs and the W-masses be of the same order of magnitude, in order to avoid the complication of dealing with two scales.

PY - 1990/12/24

Y1 - 1990/12/24

N2 - 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 E0 ≈ MH/αW. These processes may be sensitive to deviations from the dilute gas approximation.

AB - 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 E0 ≈ MH/αW. These processes may be sensitive to deviations from the dilute gas approximation.

UR - http://www.scopus.com/inward/record.url?scp=0000610150&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000610150&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(90)90564-T

DO - 10.1016/0550-3213(90)90564-T

M3 - Article

AN - SCOPUS:0000610150

SN - 0550-3213

VL - 347

SP - 371

EP - 393

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 1-2

ER -