Yangian and SUSY symmetry of high spin parton splitting amplitudes in generalised Yang–Mills theory

Author:

Kirschner Roland1,Savvidy George2

Affiliation:

1. Institut für Theoretische Physik, Universität Leipzig, Augustusplatz 10, D-04109 Leipzig, Germany

2. Institute of Nuclear and Particle Physics, Demokritos National Research Center, Agia Paraskevi, Athens, Greece

Abstract

We have calculated the high spin parton splitting amplitudes postulating the Yangian symmetry of the scattering amplitudes for tensor gluons. The resulting splitting amplitudes coincide with the earlier calculations, which were based on the BCFW recursion relations. The resulting formula unifies all known splitting probabilities found earlier in gauge field theories. It describes splitting probabilities for integer and half-integer spin particles. We also checked that the splitting probabilities fulfil the generalised Kounnas–Ross [Formula: see text] = 1 supersymmetry relations hinting to the fact that the underlying theory can be formulated in an explicit supersymmetric manner.

Funder

Marie Skłodowska-Curie Grant

Alexander von Humboldt Foundation

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Yangian symmetry applied to quantum chromodynamics;International Journal of Modern Physics A;2023-03-20

2. Symmetry properties of Wilson loops with a Lagrangian insertion;Journal of High Energy Physics;2022-07

3. Parton Distribution Functions and Tensorgluons;Universe;2020-06-29

4. QCD at High Energies and Yangian Symmetry;Universe;2018-11-13

5. Yangian symmetry for bi-scalar loop amplitudes;Journal of High Energy Physics;2018-05

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