scholarly journals Physical‐Region Discontinuity Equations for Many‐Particle Scattering Amplitudes. I

1969 ◽  
Vol 10 (3) ◽  
pp. 371-396 ◽  
Author(s):  
Joseph Coster ◽  
Henry P. Stapp
Keyword(s):  
Scattering Amplitudes ◽  
Physical Region ◽  
Particle Scattering

Dispersion Relations for Three-Particle Scattering Amplitudes. I

1966 ◽  
Vol 146 (4) ◽  
pp. 1130-1149 ◽  
Author(s):  
Morton Rubin ◽  
Robert Sugar ◽  
George Tiktopoulos
Keyword(s):  
Scattering Amplitudes ◽  
Dispersion Relations ◽  
Particle Scattering

scholarly journals Normal Threshold Sheet Structure of Two-Particle Scattering Amplitudes

1965 ◽  
Vol 140 (4B) ◽  
pp. B1054-B1067 ◽  
Author(s):  
David J. Gross ◽  
John H. Schwarz
Keyword(s):  
Scattering Amplitudes ◽  
Particle Scattering ◽  
Normal Threshold ◽  
Sheet Structure

scholarly journals Sum Rules for Real Parts of Current-Particle Scattering Amplitudes

1972 ◽  
Vol 6 (12) ◽  
pp. 3506-3512 ◽  
Author(s):  
R. L. Heimann ◽  
A. J. G. Hey ◽  
J. E. Mandula
Keyword(s):  
Scattering Amplitudes ◽  
Sum Rules ◽  
Particle Scattering

scholarly journals The boostless bootstrap and BCFW momentum shifts

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
David Stefanyszyn ◽  
Jakub Supeł
Keyword(s):  
Scattering Amplitudes ◽  
Tree Level ◽  
Particle Interactions ◽  
Particle Scattering ◽  
Consistency Check ◽  
Independent Verification ◽  
Lorentz Boosts

Abstract In a recent paper [1], three-particle interactions without invariance under Lorentz boosts were constrained by demanding that they yield tree-level four-particle scattering amplitudes with singularities as dictated by unitarity and locality. In this brief note, we show how to obtain an independent verification and consistency check of these boostless bootstrap results using BCFW momentum shifts. We point out that the constructibility criterion, related to the behaviour of the deformed amplitude at infinite BCFW parameter z, is not strictly necessary to obtain non-trivial constraints for the three-particle interactions.

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