56 research outputs found
Numerical evaluation of two-loop integrals with pySecDec
We describe the program pySecDec, which factorises endpoint singularities
from multi-dimensional parameter integrals and can serve to calculate integrals
occurring in higher order perturbative calculations numerically. We focus on
the new features and on frequently asked questions about the usage of the
program.Comment: 11 pages, to appear in the proceedings of the HiggsTools Final
Meeting, IPPP, University of Durham, UK, September 201
Numerical evaluation of multi-loop integrals
We present updates on the development of pySecDec, a toolbox to numerically
evaluate parameter integrals in the context of dimensional regularization. We
discuss difficulties with loop integrals in the special kinematic condition
where the squared momentum of a leg is equal to the squared mass of a
propagator. We further discuss some features of a Quasi Monte Carlo (QMC)
integrator that can optionally run on Graphics Processing Units (GPUs).Comment: 10 pages, 5 figures, contribution to the proceedings of Loops and
Legs 2018, St. Goar, German
The Pentabox Master Integrals with the Simplified Differential Equations approach
We present the calculation of massless two-loop Master Integrals relevant to
five-point amplitudes with one off-shell external leg and derive the complete
set of planar Master Integrals with five on-mass-shell legs, that contribute to
many amplitudes of interest at the LHC, as for instance three jet
production, jets etc., based on the Simplified Differential
Equations approach.Comment: Revised version accepted for publication in JHEP. Ancillary files
with results can be downloaded from
https://www.dropbox.com/s/90iiqfcazrhwtso/results.tgz?dl=
Two-loop Master Integrals with the Simplified Differential Equations approach
We calculate the complete set of two-loop Master Integrals with two off
mass-shell legs with massless internal propagators, that contribute to
amplitudes of diboson production at the LHC. This is done with the
Simplified Differential Equations approach to Master Integrals, which was
recently proposed by one of the authors.Comment: 4 figures, 6 ancillary files. Version as published in JHE
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