期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 4, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP04(2021)217
关键词
Cosmology of Theories beyond the SM; Effective Field Theories
资金
- IHEP [Y7515540U1]
- National Natural Science Foundation of China (NSFC) [12035008]
- University of Science and Technology of China [KY2030000089, GG2030040375]
- NSFC [11947301, 12075233]
By utilizing generalized elastic positivity bounds, we constrained the parameter space of multi-field spin-2 effective field theories, excluding certain operators in the pseudo-linear theory and providing new bounds on Wilson coefficients in the cycle and line theories.
We use generalized elastic positivity bounds to constrain the parameter space of multi-field spin-2 effective field theories. These generalized bounds involve inelastic scattering amplitudes between particles with different masses, which contain kinematic singularities even in the t = 0 limit. We apply these bounds to the pseudo-linear spin-2 theory, the cycle spin-2 theory and the line spin-2 theory respectively. For the pseudo-linear theory, we exclude the remaining operators that are unconstrained by the usual elastic positivity bounds, thus excluding all the leading (or highest cutoff) interacting operators in the theory. For the cycle and line theory, our approach also provides new bounds on the Wilson coefficients previously unconstrained, bounding the parameter space in both theories to be a finite region (i.e., every Wilson coefficient being constrained from both sides). To help visualize these finite regions, we sample various cross sections of them and estimate the total volumes.
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