Orateur
Description
In this talk, I will review theoretical and phenomenological aspects of multi-loop amplitudes, focusing on the their wide range of physical applications. I will gently introduce the method employed in the calculation of the gg -> HH NLO SM and Beyond cross section to show where Feynman integrals enter, and where calculation bottleneck may arise.
The increasing mathematical understanding of Feynman integrals brought impact on fields from higher-order perturbative QFT predictions to Cosmology and Classical Gravity.
I will introduce some of the main state-of-the-art methods for evaluating Feynman integrals, and I will show how such object are connecting a broad spectrum of techniques from differential geometry, differential equation, machine learning and numerical approaches.
In conclusion, I will show some applications of these methods on scattering processes of phenomenological interest, like q \bar q -> t \bar t virtual amplitude contribution at NNLO.