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Joint INFN-UNIMI-UNIMIB Pheno Seminars
The Modern Collider Amplitude Toolbox
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Europe/Zurich
Room U1-10 (University of Milan-Bicocca)
Room U1-10
University of Milan-Bicocca
Description
The computation of loop scattering amplitudes is a crucial task that must be undertaken to perform precise predictions of Standard Model processes at collider experiments. In the first part of this talk, I will overview the problems encountered when performing two-loop amplitude calculations and the tools that we use to tackle them, such as modular arithmetic, Ans\"atze and analytic structures of Feynman integrals. This toolbox has enabled state-of-the-art computations of two-loop amplitudes for a number of multi-particle production processes at the LHC including 3-jet and W+2-jet production
In the second part of the talk, I will introduce a new entry to this toolbox -- a novel way to compute an entire class of Feynman integrals. This class of "evanescent" integrals is completely controlled by behaviour in ultraviolet and infra-red singular regions. We exploit this property to find that evanescent integrals localize onto lower loop configurations, enabling their efficient computation. These integrals are exactly those that are missed when performing amplitude calculations with strictly four-dimensional methods. This approach therefore marks a first step towards four-dimensional unitarity methods beyond one loop.
