Unimodular trees versus Einstein trees
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2016
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Springer
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Abstract
The maximally helicity violating tree-level scattering amplitudes involving three, four or five gravitons are worked out in Unimodular Gravity. They are found to coincide with the corresponding amplitudes in General Relativity. This a remarkable result, insofar as both the propagators and the vertices are quite different in the two theories.
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© The Author(s) 2016. We are grateful for useful correspondence with W.T. Giele, L. Dixon, and M. Spradlin. We also acknowledge useful discussions with Paolo Benincasa. This work has been partially supported by the European Union FP7 ITN INVISIBLES (Marie Curie Actions, PITN- GA-2011- 289442)and (HPRN-CT-200-00148); COST action MP1405 (Quantum Structure of Spacetime), COST action MP1210 (The String Theory Universe) as well as by FPA2012-31880 (MICINN, Spain)), FPA2014-54154-P (MICINN, Spain), and S2009ESP-1473 (CA Madrid). This project has received funding from the European Union’ s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No 690575. This project has also received funding from the European Union’ s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No 674896. The authors acknowledge the support of the Spanish MINECO Centro de Excelencia Severo Ochoa Programme under grant SEV-2012-0249. Each tree-level diagram workout in this paper has been computed in two independent ways, one using the computer algebra systems FORM [20] and the other Mathematica’s xAct [21] package.