A new 'quantum worldline' representation makes the classical limit of scattering amplitudes exactly match worldline field theory integrands at two loops.
Local Unitarity
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abstract
Within the Local Unitarity formalism, any physical cross-section is re-written in such a way that cancellations of infrared singularities between real and virtual contributions are realised locally. Consequently, phase-space and loop integrals are regulated locally without the need of any counter-terms or dimensional regularisation aside from those strictly needed to achieve ultraviolet regularisation. This Local Unitarity representation is especially suitable to direct Monte Carlo integration. As such, it offers a clear and direct path to automate the computation of fixed-order differential observables in Quantum Field Theories.
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Classical worldlines from scattering amplitudes
A new 'quantum worldline' representation makes the classical limit of scattering amplitudes exactly match worldline field theory integrands at two loops.