2020/11/10 by Zi-Yue Wang, Cen Zhang, Shuang-Yong Zhou
Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Bounding overwatch #Crossing #Elastic scattering #Gravitational singularity #Kinematics #Parameter space #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Scattering amplitude #Space (punctuation) #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep04(2021)217
29 pages, 14 figures
arxiv created 2020/11/10 · openalex created_date 2020/11/23 · openalex publication_date 2021/04/01 · arxiv updated 2021/05/05 · openalex updated_date 2026/08/05
A bstract 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.