scholarly journals Four-particle scattering amplitudes in QCD at NNLO to higher orders in the dimensional regulator

2019 ◽  
Vol 2019 (12) ◽  
Author(s):  
Taushif Ahmed ◽  
Johannes Henn ◽  
Bernhard Mistlberger
Keyword(s):  
Scattering Amplitudes ◽  
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.

scholarly journals Entropy bound and unitarity of scattering amplitudes

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Gia Dvali
Keyword(s):  
Black Holes ◽  
Scattering Amplitudes ◽  
Direct Consequence ◽  
Maximal Entropy ◽  
Quantum Field ◽  
Particle Scattering ◽  
Consistent Theory ◽  
Running Coupling ◽  
Entropy Bounds ◽  
Classical Fields

Abstract We establish that unitarity of scattering amplitudes imposes universal entropy bounds. The maximal entropy of a self-sustained quantum field object of radius R is equal to its surface area and at the same time to the inverse running coupling α evaluated at the scale R. The saturation of these entropy bounds is in one-to-one correspondence with the non-perturbative saturation of unitarity by 2 → N particle scattering amplitudes at the point of optimal truncation. These bounds are more stringent than Bekenstein’s bound and in a consistent theory all three get saturated simultaneously. This is true for all known entropy-saturating objects such as solitons, instantons, baryons, oscillons, black holes or simply lumps of classical fields. We refer to these collectively as saturons and show that in renormalizable theories they behave in all other respects like black holes. Finally, it is argued that the confinement in SU(N) gauge theory can be understood as a direct consequence of the entropy bounds and unitarity.

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