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Pasting and Reversing Approach to Matrix Theory
The aim of this paper is to study some aspects of matrix theory through
Pasting and Reversing. We start giving a summary of previous results concerning
to Pasting and Reversing over vectors and matrices, after we rewrite such
properties of Pasting and Reversing in matrix theory using linear mappings to
finish with new properties and new sets in matrix theory involving Pasting and
Reversing. In particular we introduce new linear mappings: Palindromicing and
Antipalindromicing mappings, which allow us to obtain palindromic and
antipalindromic vectors and matrices.Comment: 19 page
Numerical integration of massive two-loop Mellin-Barnes integrals in Minkowskian regions
Mellin-Barnes (MB) techniques applied to integrals emerging in particle
physics perturbative calculations are summarized. New versions of AMBRE
packages which construct planar and nonplanar MB representations are shortly
discussed. The numerical package MBnumerics.m is presented for the first time
which is able to calculate with a high precision multidimensional MB integrals
in Minkowskian regions. Examples are given for massive vertex integrals which
include threshold effects and several scale parameters.Comment: Proceedings for 13th DESY Workshop on Elementary Particle Physics:
Loops and Legs in Quantum Field Theory (LL2016), final PoS versio
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