Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 2, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP02(2016)125
Keywords
Higher Spin Gravity; Higher Spin Symmetry; Scattering Amplitudes; Anomalies in Field and String Theories
Categories
Funding
- Russian Science Foundation [14-42-00047]
- Basic Science Research Program through National Research Foundation of Korea (NRF) - Ministry of Education [2014R1A6A3A04056670]
- STFC [ST/L00044X/1]
- ERC Advanced grant [290456]
- STFC [ST/L00044X/1, ST/J000353/1, ST/F010028/1] Funding Source: UKRI
- Russian Science Foundation [14-42-00047] Funding Source: Russian Science Foundation
- Science and Technology Facilities Council [ST/F010028/1, ST/J000353/1, ST/L00044X/1, 1514599] Funding Source: researchfish
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Theories containing in finite number of higher spin fields require a particular definition of summation over spins consistent with their underlying symmetries. We consider a model of massless scalars interacting (via bilinear conserved currents) with conformal higher spin fields in flat space. We compute the tree-level four-scalar scattering amplitude using a natural prescription for summation over an infinite set of conformal higher spin exchanges and find that it vanishes. Independently, we show that the vanishing of the scalar scattering amplitude is, in fact, implied by the global conformal higher spin symmetry of this model. We also discuss one-loop corrections to the four-scalar scattering amplitude.
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