论文标题
Yangian Bootstrap的Minkowski盒子
Minkowski Box from Yangian Bootstrap
论文作者
论文摘要
我们将最近开发的Feynman积分集合的Yangian Bootstrap扩展到Minkowski空间，重点是一环盒子积分的情况。 Bloch-Wigner功能及其不连续性跨越了Yangian不变的空间。仅使用来自对称性的输入，我们在所有64个运动区域中限制了框积分的功能形式，该区域最多十二个（先验256）不确定的常数。这些需要通过其他方式来解决。我们采用两种替代方法明确执行此操作。这导致了在Minkowski空间的所有运动区域中有效的盒子积分的新型紧凑型公式。
We extend the recently developed Yangian bootstrap for Feynman integrals to Minkowski space, focusing on the case of the one-loop box integral. The space of Yangian invariants is spanned by the Bloch-Wigner function and its discontinuities. Using only input from symmetries, we constrain the functional form of the box integral in all 64 kinematic regions up to twelve (out of a priori 256) undetermined constants. These need to be fixed by other means. We do this explicitly, employing two alternative methods. This results in a novel compact formula for the box integral valid in all kinematic regions of Minkowski space.
