论文标题
清晰的测试阳性在Lepton Colleders
Unambiguously Testing Positivity at Lepton Colliders
论文作者
论文摘要
Lepton Colliders的Diphoton通道，$ e^+E^ - （μ^+μ^ - ）\至γγ$具有显着特征，即领先的新物理贡献仅来自尺寸至八算子。该贡献受一组阳性界限的约束，这些阳性界限源自量子场理论的基本原理，例如单位性，局部性，分析性和洛伦兹的不变性。因此，这些阳性界限适用于最直接可观察到的 - 双光子横截面。这种独特的功能为这些原理提供了清晰，健壮且明确的测试。我们估计各种未来的Lepton Colliders探测尺寸 - 八操作员并测试此通道中的阳性界限的能力。我们表明，阳性界限可以提升有效运营商之间的某些平坦方向，并显着改变全球分析的观点。我们还讨论了与$γγ$相关的$zγ/zz $过程的阳性界限，但由于巨大的$ z $ boson而更为复杂。
The diphoton channel at lepton colliders, $e^+e^- (μ^+μ^-) \to γγ$, has a remarkable feature that the leading new physics contribution comes only from dimension-eight operators. This contribution is subject to a set of positivity bounds, derived from the fundamental principles of Quantum Field Theory, such as unitarity, locality, analyticity and Lorentz invariance. These positivity bounds are thus applicable to the most direct observable -- the diphoton cross section. This unique feature provides a clear, robust, and unambiguous test of these principles. We estimate the capability of various future lepton colliders in probing the dimension-eight operators and testing the positivity bounds in this channel. We show that positivity bounds can lift certain flat directions among the effective operators and significantly change the perspectives of a global analysis. We also discuss the positivity bounds of the $Zγ/ZZ$ processes which are related to the $γγ$ ones, but are more complicated due to the massive $Z$ boson.
