Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 11, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP11(2020)054
Keywords
Effective Field Theories; Scattering Amplitudes
Categories
Funding
- Japan Society for the Promotion of Science (JSPS) [202000912]
- Japan Society for the Promotion of Science [19J00895, 20K14468]
- JSPS KAKENHI [JP19H01895]
- Grants-in-Aid for Scientific Research [20K14468, 19J00895] Funding Source: KAKEN
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We study the validity of positivity bounds in the presence of a massless graviton, assuming the Regge behavior of the amplitude. Under this assumption, the problematic t-channel pole is canceled with the UV integral of the imaginary part of the amplitude in the dispersion relation, which gives rise to finite corrections to the positivity bounds. We find that low-energy effective field theories (EFT) with wrong sign are generically allowed. The allowed amount of the positivity violation is determined by the Regge behavior. This violation is suppressed by M-pl(-2)alpha' where alpha' is the scale of Reggeization. This implies that the positivity bounds can be applied only when the cutoff scale of EFT is much lower than the scale of Reggeization. We then obtain the positivity bounds on scalar-tensor EFT at one-loop level. Implications of our results on the degenerate higher-order scalar-tensor (DHOST) theory are also discussed.
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