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

Massimo Porrati

doi:10.1016/0550-3213(90)90564-T

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

Massimo Porrati

Research output: Contribution to journal › Article › peer-review

Abstract

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 ≈ M_H/α_W. These processes may be sensitive to deviations from the dilute gas approximation.

Original language	English (US)
Pages (from-to)	371-393
Number of pages	23
Journal	Nuclear Physics, Section B
Volume	347
Issue number	1-2
DOIs	https://doi.org/10.1016/0550-3213(90)90564-T
State	Published - Dec 24 1990

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0550-3213(90)90564-T

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title = "Dispersion relations and finite-size effects in high-energy electroweak interactions",

abstract = "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.",

author = "Massimo Porrati",

note = "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.",

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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.

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

Abstract

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