English

Maximal Cuts in Arbitrary Dimension

High Energy Physics - Theory 2017-09-13 v2 High Energy Physics - Phenomenology

Abstract

We develop a systematic procedure for computing maximal unitarity cuts of multiloop Feynman integrals in arbitrary dimension. Our approach is based on the Baikov representation in which the structure of the cuts is particularly simple. We examine several planar and nonplanar integral topologies and demonstrate that the maximal cut inherits IBPs and dimension shift identities satisfied by the uncut integral. Furthermore, for the examples we calculated, we find that the maximal cut functions from different allowed regions, form the Wronskian matrix of the differential equations on the maximal cut.

Keywords

Cite

@article{arxiv.1704.04255,
  title  = {Maximal Cuts in Arbitrary Dimension},
  author = {Jorrit Bosma and Mads Sogaard and Yang Zhang},
  journal= {arXiv preprint arXiv:1704.04255},
  year   = {2017}
}

Comments

typos corrected, more references added

R2 v1 2026-06-22T19:17:02.788Z