论文标题
相互作用的大型自旋2理论的普遍弹性阳性界限
Generalized elastic positivity bounds on interacting massive spin-2 theories
论文作者
论文摘要
我们使用广义的弹性阳性界限来限制多场自旋2有效场理论的参数空间。这些广义界限涉及具有不同质量的粒子之间的无弹性散射幅度，即使在$ t = 0 $限制中，它们也包含运动学奇异性。我们分别将这些边界应用于伪线性自旋2理论，循环自旋2理论和线自旋2理论。对于伪线性理论，我们排除了其余的弹性阳性界限不受限制的操作员，因此排除了理论中所有领先（或最高截止）相互作用的操作员。对于循环和线理论，我们的方法还为威尔逊系数提供了新的界限，以前不受限制的威尔逊系数，将这两种理论的参数空间界定为有限区域（{\ it I.E.}，每个威尔逊系数都受到双方的约束）。为了帮助可视化这些有限区域，我们采样了它们的各个横截面并估算总量。
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 ({\it 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.
