Speaker
Jonathon Carter
(University of Durham)
Description
Sector decomposition is a method to extract singularities from
multi-dimensional polynomial parameter integrals in a universal way.
Integrals of this type arise in perturbative higher order calculations
in multi-loop integrals as well as
in phase space integrals involving unresolved massless particles.
The program 'SecDec' will be presented,
which applies iterated sector decomposition in an automated way,
to produce a Laurent series in the regularisation parameter.
The coefficients of this series are finite parameter integrals
which are integrated numerically by Monte Carlo techniques.
The power of the program is illustrated by presenting results and timings
for a number of cutting edge multi-loop integrals,
e.g. 2-loop box integrals entering top quark pair production at NNLO or
4-loop propagators. Applications to integrals occurring
in calculations of real radiation at higher perturbative orders
will also be presented.
Primary author
Jonathon Carter
(University of Durham)
Co-author
Gudrun Heinrich
(Max Planck Institute for Physics)
