Massless positivity in graviton exchange
Herrero-Valea, M., Santos-Garcia, R., & Tokareva, A. (2021). Massless positivity in graviton exchange. Physical Review D, 104(8), Article 085022. https://doi.org/10.1103/physrevd.104.085022
Published inPhysical Review D
© Authors, 2021
We formulate positivity bounds for scattering amplitudes including exchange of massless particles. We generalize the standard construction through dispersion relations to include the presence of a branch cut along the real axis in the complex plane for the Maldestam variable s. In general, validity of these bounds requires the cancellation of divergences in the forward limit of the amplitude, proportional to t−1 and log(t). We show that this is possible in the case of gravitons if one assumes a Regge behavior of the amplitude at high energies below the Planck scale, as previously suggested in the literature, and that the concrete UV behavior of the amplitude is uniquely determined by the structure of IR divergences. We thus extend previous results by including a subleading logarithmic term, which we show to be universal. The bounds that we present here have the potential of constraining very general models of modified gravity and effective field theories of matter coupled to gravitation. ...
PublisherAmerican Physical Society (APS)
Publication in research information system
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Related funder(s)Academy of Finland
Funding program(s)Academy Project, AoF
Additional information about fundingOur work has been supported bythe European Union’s H2020 ERCConsolidator Grant “Gravity from Astrophysical to Microscopic Scales” Grant Agreement No. GRAMS-815673 (M. H-V.), by the Spanish FPU Grant No. FPU16/01595 (R. S-G.) and by the Academy of Finland Grant No. 318319 (A. T.). The part of work of A. T. related to obtaining the bounds from imaginary poles was supported bytheRussian Science Foundation Grant No. 19-12-00393. We also wish to acknowledge networking support from COST action CA16104 “GWverse." ...
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