标题： 质量矢量的正性界限 显示英文标题

标题： Positivity Bounds on Massive Vectors

摘要： 在本文中，我们探讨了单个弱耦合的宏观矢量场的有效场理论~(EFT)的正性边界。 质量和自旋的同时存在使振幅的交叉性质变得非常复杂——我们通过将振幅参数化为极化矩阵和具有更简单交叉性质的适当选择函数的向量的乘积来解决这一问题。 该框架涉及求和规则和零约束，使我们能够对任何低能可观测量的组合进行限制，例如EFT振幅。 通过在截断尺度上改变矢量质量的值，我们的一些边界趋于在光子和无质量标量的背景下获得的边界。 这项工作为未来应用于例如非阿贝尔宏观矢量、胶球和自旋大于一的理论铺平了道路。 显示英文摘要

摘要： In this paper, we explore positivity bounds for the effective field theory~(EFT) of a single weakly coupled massive vector field. The presence of both mass and spin makes the crossing properties of the amplitudes vastly complicated -- we address this by parametrizing the amplitudes as products of a polarization matrix and a vector of appropriately chosen functions with simpler crossing properties. The resulting framework involves sum rules and null constraints that allows us to constrain any combination of low-energy observables, such as EFT amplitudes. By varying the value of the vector mass over the cutoff scale, some of our bounds asymptote to the bounds obtained in the context of photons and massless scalars. This work paves the way for future applications to e.g. non-abelian massive vectors, glueballs and theories with spin larger than one.