Minkowski box from Yangian bootstrap
Abstract
We extend the recently developed Yangian bootstrap for Feynman integrals to Minkowski space, focusing on the case of the oneloop box integral. The space of Yangian invariants is spanned by the BlochWigner 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.
 Publication:

Journal of High Energy Physics
 Pub Date:
 April 2021
 DOI:
 10.1007/JHEP04(2021)160
 arXiv:
 arXiv:2012.07852
 Bibcode:
 2021JHEP...04..160C
 Keywords:

 AdSCFT Correspondence;
 Conformal and W Symmetry;
 Integrable Field Theories;
 Scattering Amplitudes;
 High Energy Physics  Theory;
 High Energy Physics  Phenomenology;
 Mathematical Physics
 EPrint:
 21 pages