6533b827fe1ef96bd1285b0b

RESEARCH PRODUCT

Causality and Loop-Tree Duality at Higher Loops

Stefan WeinzierlJuan Pablo VesgaRobert RunkelZoltán Szőr

subject

High Energy Physics - TheoryDiscrete mathematicsSpanning treeFeynman integralMathematicsofComputing_GENERALFOS: Physical sciencesGeneral Physics and AstronomyPropagatorFeynman graph01 natural sciencesLoop integralGraphHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)Phase space0103 physical sciences010306 general physicsMathematics

description

We relate a $l$-loop Feynman integral to a sum of phase space integrals, where the integrands are determined by the spanning trees of the original $l$-loop graph. Causality requires that the propagators of the trees have a modified $i\delta$-prescription and we present a simple formula for the correct $i\delta$-prescription.

10.1103/physrevlett.122.111603http://repo.scoap3.org/api