Abstract
Several second order differential operators are shown to annihilate the YM and GR tree scattering amplitudes. In particular we prove a conjecture of Loebbert, Mojaza and Plefka from their investigation of a hidden conformal symmetry in GR.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
F. Loebbert, M. Mojaza and J. Plefka, Hidden Conformal Symmetry in Tree-Level Graviton Scattering, JHEP 05 (2018) 208 [arXiv:1802.05999] [INSPIRE].
R. Britto, F. Cachazo, B. Feng and E. Witten, Direct proof of tree-level recursion relation in Yang-Mills theory, Phys. Rev. Lett. 94 (2005) 181602 [hep-th/0501052] [INSPIRE].
D.R. Grayson and M.E. Stillman, Macaulay2, a software system for research in algebraic geometry, (2020) https://faculty.math.illinois.edu/Macaulay2/.
F.J. Castro-Jiménez and A. Leykin, Computing localizations iteratively, arXiv:1110.0182.
D. Zeilberger, A holonomic systems approach to special functions identities, J. Comput. Appl. Math. 32 (1990) 321.
A. Nützi and M. Reiterer, Scattering amplitudes in YM and GR as minimal model brackets and their recursive characterization, arXiv:1812.06454 [INSPIRE].
L.J. Dixon, Calculating scattering amplitudes efficiently, in proceedings of the Theoretical Advanced Study Institute in Elementary Particle Physics (TASI 95): QCD and Beyond, Boulder, Colorado, U.S.A., 4–30 June 1995, pp. 539–584 [hep-ph/9601359] [INSPIRE] and online pdf version at http://slac.stanford.edu/pubs/slacpubs/7000/slac-pub-7106.pdf.
N.E.J. Bjerrum-Bohr, J.L. Bourjaily, P.H. Damgaard and B. Feng, Analytic representations of Yang-Mills amplitudes, Nucl. Phys. B 913 (2016) 964 [arXiv:1605.06501] [INSPIRE].
T. Søndergaard, Perturbative Gravity and Gauge Theory Relations: A Review, Adv. High Energy Phys. 2012 (2012) 726030 [arXiv:1106.0033] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1905.02224
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Nützi, A., Reiterer, M. Scattering amplitude annihilators. J. High Energ. Phys. 2020, 20 (2020). https://doi.org/10.1007/JHEP02(2020)020
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP02(2020)020