Generalized elastic positivity bounds on interacting massive spin-2 theories

We use generalized elastic positivity bounds to constrain the parameter space of multi-field spin-2 effective field theories. These involve inelastic scattering amplitudes between particles with different masses, which contain kinematic singularities even in $t=0$ limit. apply these pseudo-linear theory, cycle theory and line respectively. For we exclude remaining operators that are unconstrained by usual bounds, thus excluding all leading (or highest cutoff) interacting theory. our approach also provides new on Wilson coefficients previously unconstrained, bounding both theories be a finite region ({\it i.e.}, every coefficient being constrained from sides). To help visualize regions, sample various cross sections them estimate total volumes.