Nancy Kentish-Barnes, PhD; Zoé Cohen-Solal, MS; Lucas Morin, Virginie Souppart, RN; Frédéric Pochard, MD, Elie Azoulay, PhD

Given a rational lattice and suitable set of linear transformations, we construct a cousin lattice. Sufficient conditions are given for integrality, evenness and unimodularity. When the input is a Barnes-Wall lattice, we get multi-parameter series of cousins. There is a subseries consisting of unimodular lattices which have ranks 2d−1 ± 2d−k−1, for odd integers d ≥ 3 and integers k = 1, 2, · · ...

I describe a package written in MATHEMATICA that automatizes typical operations performed during evaluation of Feynman graphs with Mellin-Barnes (MB) techniques. The main procedure allows to analytically continue a MB integral in a given parameter without any intervention from the user and thus to resolve the singularity structure in this parameter. The package can also perform numerical integr...