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Bridging Positivity and S-matrix Bootstrap Bounds

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arxiv 2210.01502 v2 pith:BNSXMXZP submitted 2022-10-04 hep-th hep-ph

Joan Elias Miro , Andrea Guerrieri , Mehmet Asim Gumus This is my paper · ORCID
classification hep-thhep-ph
keywords bootstrapboundss-matrixamplitudesapproacheffectivefieldintroducing
verification ladder T0 review T1 audit T2 compute T3 formal
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The main objective of this work is to isolate Effective Field Theory scattering amplitudes in the space of non-perturbative two-to-two amplitudes, using the S-matrix Bootstrap. We do so by introducing the notion of Effective Field Theory cutoff in the S-matrix Bootstrap approach. We introduce a number of novel numerical techniques and improvements both for the primal and the linearized dual approach. We perform a detailed comparison of the full unitarity bounds with those obtained using positivity and linearized unitarity. Moreover, we discuss the notion of Spin-Zero and UV dominance along the boundary of the allowed amplitude space by introducing suitable observables. Finally, we show that this construction also leads to novel bounds on operators of dimension less than or equal to six.

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Cited by 7 Pith papers

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