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Joint INFN-UNIMI-UNIMIB Pheno Seminars
Local unitarity: let Nature do the work and cancel IR divergences for us
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Europe/Zurich
https://fisica-unimi.zoom.us/j/93801268810?pwd=NHB5c2N3aVhFVlNSSllGeWNLNUxCQT09
https://fisica-unimi.zoom.us/j/93801268810?pwd=NHB5c2N3aVhFVlNSSllGeWNLNUxCQT09
Description
The canonical approach for tackling higher-order computations involves splitting up a finite quantity into two separately divergent ones. First, multiloop amplitudes are evaluated using (mostly) analytical techniques. Second, phase-space integrals are computed using numerical Monte-Carlo techniques with ad-hoc subtraction terms for regularising soft and/or collinear infrared divergences. We will present our recent work, Local Unitarity, in which we propose a radically different technique whereby the singularities in real-emission and virtual degrees of freedom directly cancel without the use of any counterterms and at any perturbative order. On the practical side, this allows for the fully numerical computation of differential corrections, potentially alleviating the complexity bottleneck analytical alternatives are facing. From a theoretical standpoint, our proof of the local cancellation of infrared singularities sheds new light on the exact mechanism by which it is realized in Quantum Field Theories.
