# Maximal Cuts in Arbitrary Dimension

## TL;DR

This paper introduces a systematic method for computing maximal unitarity cuts of multiloop Feynman integrals in any dimension, utilizing the Baikov representation to simplify the process and reveal structural properties.

## Contribution

It presents a new approach to evaluate maximal cuts in arbitrary dimensions, connecting them with IBPs, dimension shifts, and differential equations, expanding the computational toolkit for Feynman integrals.

## Key findings

- Maximal cuts inherit IBPs and dimension shift identities.
- Maximal cut functions form the Wronskian matrix of differential equations.
- Method applies to various planar and nonplanar topologies.

## 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.