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High Energy Physics - Phenomenology

arXiv:1311.6829 (hep-ph)
[Submitted on 26 Nov 2013]

Title:Form factor decomposition of the off-shell four-gluon amplitudes

Authors:Naser Ahmadiniaz, Christian Schubert
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Abstract:We show how to use the Bern-Kosower master formula, originally a generating functional for on-shell gluon matrix elements, to derive well-organized form factor decompositions of the off-shell one-particle-irreducible N - gluon vertices. Two such algorithms are presented which can be used for any N, the first one optimized with respect to the nonabelian gauge invariance, the second one with respect to transversality. We give explicit results for the three- and four-gluon cases. The second algorithm in the three-point case reproduces precisely the well-known Ball-Chiu decomposition, and in the four-point case a natural generalization thereof. A particularly simple structure emerges in the N=4 SYM case.
Comments: 12 pages, 1 figure, Talk given by N. Ahmadiniaz at the QCD-TNT-III-From quarks and gluons to hadronic matter: A bridge too far? 2-6 September, 2013, European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT*), Villazzano, Trento (Italy)
Subjects: High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th)
Cite as: arXiv:1311.6829 [hep-ph]
  (or arXiv:1311.6829v1 [hep-ph] for this version)
  https://doi.org/10.48550/arXiv.1311.6829

Submission history

From: Naser Ahmadiniaz [view email]
[v1] Tue, 26 Nov 2013 21:54:30 UTC (34 KB)
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