Abstract
Abstract
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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference23 articles.
1. N. Beisert et al., Review of AdS/CFT Integrability: An Overview, Lett. Math. Phys. 99 (2012) 3 [arXiv:1012.3982] [INSPIRE].
2. F. Loebbert, Lectures on Yangian Symmetry, J. Phys. A 49 (2016) 323002 [arXiv:1606.02947] [INSPIRE].
3. L. Ferro, J. Plefka and M. Staudacher, Yangian Symmetry in Maximally Supersymmetric Yang-Mills Theory, in: Space-Time-Matter: Analytic and Geometric Structures, de Gruyter, Berlin Germany (2018).
4. D. Zagier, The Dilogarithm Function, in: Les Houches School of Physics: Frontiers in Number Theory, Physics and Geometry, Springer, Heidelberg Germany (2007), pg. 3.
5. D. Chicherin, V. Kazakov, F. Loebbert, D. Müller and D.-l. Zhong, Yangian Symmetry for Fishnet Feynman Graphs, Phys. Rev. D 96 (2017) 121901 [arXiv:1708.00007] [INSPIRE].
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献