English

Numerical integration of massive two-loop Mellin-Barnes integrals in Minkowskian regions

High Energy Physics - Phenomenology 2016-10-04 v3

Abstract

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.

Keywords

Cite

@article{arxiv.1607.07538,
  title  = {Numerical integration of massive two-loop Mellin-Barnes integrals in Minkowskian regions},
  author = {Ievgen Dubovyk and Janusz Gluza and Tord Riemann and Johann Usovitsch},
  journal= {arXiv preprint arXiv:1607.07538},
  year   = {2016}
}

Comments

Proceedings for 13th DESY Workshop on Elementary Particle Physics: Loops and Legs in Quantum Field Theory (LL2016), final PoS version