The paper constructs a locally finite two-loop amplitude integrand for photoproduction in quark annihilation, using momentum-flow symmetrization and an antisymmetric counterterm vertex to remove transient collinear singularities.
Causality and loop-tree duality at higher loops
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abstract
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.
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General finite two-loop amplitude integrand for photoproduction in quark annihilation
The paper constructs a locally finite two-loop amplitude integrand for photoproduction in quark annihilation, using momentum-flow symmetrization and an antisymmetric counterterm vertex to remove transient collinear singularities.