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RESEARCH PRODUCT
Blowing up Feynman integrals
Stefan WeinzierlChristian Bognersubject
Nuclear and High Energy PhysicsPure mathematicsSequenceHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Feynman integralLaurent seriesFOS: Physical sciencesGravitational singularityAtomic and Molecular Physics and OpticsMathematicsBlowing updescription
In this talk we discuss sector decomposition. This is a method to disentangle overlapping singularities through a sequence of blow-ups. We report on an open-source implementation of this algorithm to compute numerically the Laurent expansion of divergent multi-loop integrals. We also show how this method can be used to prove a theorem which relates the coefficients of the Laurent series of dimensionally regulated multi-loop integrals to periods.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2008-10-01 |