Maximal Cuts in Arbitrary Dimension
arXiv:1704.04255 · doi:10.1007/JHEP08(2017)051
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.
typos corrected, more references added
References in corpus (7)
- Reducing full one-loop amplitudes to scalar integrals at the integrand level
- Algorithm FIRE -- Feynman Integral REduction
- FIRE5: a C++ implementation of Feynman Integral REduction
- HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
- On the Rational Terms of the one-loop amplitudes
- The two-loop sunrise graph in two space-time dimensions with arbitrary masses in terms of elliptic dilogarithms
- An Algorithm to Construct Groebner Bases for Solving Integration by Parts Relations