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BibTex format

@article{de:2017:10.1103/PhysRevD.96.081702,
author = {de, Rham C and Melville, S and Tolley, AJ and Zhou, S-Y},
doi = {10.1103/PhysRevD.96.081702},
journal = {Physical Review D - Particles, Fields, Gravitation and Cosmology},
title = {Positivity bounds for scalar field theories},
url = {http://dx.doi.org/10.1103/PhysRevD.96.081702},
volume = {96},
year = {2017}
}

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TY  - JOUR
AB  - Assuming the existence of a local, analytic, unitary UV completion in a Poincaré invariant scalar field theory with a mass gap, we derive an infinite number of positivity requirements using the known properties of the amplitude at and away from the forward scattering limit. These take the form of bounds on combinations of the pole subtracted scattering amplitude and its derivatives. In turn, these positivity requirements act as constraints on the operator coefficients in the low energy effective theory. For certain theories these constraints can be used to place an upper bound on the mass of the next lightest state that must lie beyond the low energy effective theory if such a UV completion is to ever exist.
AU  - de,Rham C
AU  - Melville,S
AU  - Tolley,AJ
AU  - Zhou,S-Y
DO  - 10.1103/PhysRevD.96.081702
PY  - 2017///
SN  - 1550-2368
TI  - Positivity bounds for scalar field theories
T2  - Physical Review D - Particles, Fields, Gravitation and Cosmology
UR  - http://dx.doi.org/10.1103/PhysRevD.96.081702
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000413449700001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - http://hdl.handle.net/10044/1/67512
VL  - 96
ER  -

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