@article{Alberte:2019, author = {Alberte, L and Rham, CD and Momeni, A and Rumbutis, J and Tolley, AJ}, title = {Positivity constraints on interacting spin-2 fields}, url = {http://arxiv.org/abs/1910.11799v1}, year = {2019} }
TY - JOUR AB - The consistency of the EFT of two interacting spin-2 fields is checked byapplying forward limit positivity bounds on the scattering amplitudes toexclude the region of parameter space devoid of a standard UV completion. Wefocus on two classes of theories that have the highest possible EFT cutoff,namely those theories modelled on ghost-free interacting theories of a singlemassive spin-2 field. We find that the very existence of interactions betweenthe spin-2 fields implies more stringent bounds on all the parameters of theEFT, even on the spin-2 self-interactions. This arises for two reasons. First,with every new field included in the low-energy EFT, comes the `knowledge' ofan extra pole to be subtracted, hence strengthening the positivity bounds.Second, while adding new fields increases the number of free parameters fromthe new interactions, this is rapidly overcome by the increased number ofpositivity bounds for different possible scattering processes. We also discusshow positivity bounds appear to favour relations between operators thateffectively raise the cutoff of the EFT. AU - Alberte,L AU - Rham,CD AU - Momeni,A AU - Rumbutis,J AU - Tolley,AJ PY - 2019/// TI - Positivity constraints on interacting spin-2 fields UR - http://arxiv.org/abs/1910.11799v1 UR - http://hdl.handle.net/10044/1/77219 ER -