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RESEARCH PRODUCT

Differential equations for loop integrals in Baikov representation

Jorrit BosmaKasper J. LarsenYang ZhangYang Zhang

subject

High Energy Physics - TheoryPhysicsFor loopLarge class010308 nuclear & particles physicsDifferential equationPropagatorFOS: Physical sciences01 natural sciencesLoop integralLoop (topology)High Energy Physics - Phenomenologysymbols.namesakeHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)0103 physical sciencessymbolsFeynman diagramApplied mathematics010306 general physicsRepresentation (mathematics)

description

We present a proof that differential equations for Feynman loop integrals can always be derived in Baikov representation without involving dimension-shift identities. We moreover show that in a large class of two- and three-loop diagrams it is possible to avoid squared propagators in the intermediate steps of setting up the differential equations.

10.1103/physrevd.97.105014http://dx.doi.org/10.1103/physrevd.97.105014