Cluster adjacency beyond MHV
Cluster adjacency beyond MHV
We explore further the notion of cluster adjacency, focussing on non-MHV amplitudes. We extend the notion of adjacency to the BCFW decomposition of tree-level amplitudes. Adjacency controls the appearance of poles, both physical and spurious, in individual BCFW terms. We then discuss how this notion of adjacency is connected to the adjacency already observed at the level of symbols of scattering amplitudes which controls the appearance of branch cut singularities. Poles and symbols become intertwined by cluster adjacency and we discuss the relation of this property to the Q¯ -equation which imposes constraints on the derivatives of the transcendental functions appearing in loop amplitudes.
Scattering Amplitudes, Supersymmetric Gauge Theory, Wilson, ’t Hooft and Polyakov loops
1-43
Drummond, James
3ea15544-457f-4e72-8ad0-60f3136841db
Foster, Jack
fc2c9932-ef25-461a-a5f3-a3de72c54e20
Gürdoğan, Ömer
841de8b6-4eb2-407f-a4c4-c8136403794d
March 2019
Drummond, James
3ea15544-457f-4e72-8ad0-60f3136841db
Foster, Jack
fc2c9932-ef25-461a-a5f3-a3de72c54e20
Gürdoğan, Ömer
841de8b6-4eb2-407f-a4c4-c8136403794d
Drummond, James, Foster, Jack and Gürdoğan, Ömer
(2019)
Cluster adjacency beyond MHV.
Journal of High Energy Physics, 2019 (3), , [86].
(doi:10.1007/JHEP03(2019)086).
Abstract
We explore further the notion of cluster adjacency, focussing on non-MHV amplitudes. We extend the notion of adjacency to the BCFW decomposition of tree-level amplitudes. Adjacency controls the appearance of poles, both physical and spurious, in individual BCFW terms. We then discuss how this notion of adjacency is connected to the adjacency already observed at the level of symbols of scattering amplitudes which controls the appearance of branch cut singularities. Poles and symbols become intertwined by cluster adjacency and we discuss the relation of this property to the Q¯ -equation which imposes constraints on the derivatives of the transcendental functions appearing in loop amplitudes.
Text
Drummond 2019 Article Cluster Adjacency Beyond MHV
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Accepted/In Press date: 7 February 2019
e-pub ahead of print date: 15 March 2019
Published date: March 2019
Keywords:
Scattering Amplitudes, Supersymmetric Gauge Theory, Wilson, ’t Hooft and Polyakov loops
Identifiers
Local EPrints ID: 429543
URI: http://eprints.soton.ac.uk/id/eprint/429543
ISSN: 1126-6708
PURE UUID: 6c90ec5e-dc59-4fb7-8671-284fe6007c5f
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Date deposited: 29 Mar 2019 17:30
Last modified: 16 Mar 2024 01:11
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Author:
Jack Foster
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