Ponente
Abstract
The calculation of scattering amplitudes has been playing a very important
role in the physics of the Large Hadron Collider (LHC).
In particular, more accuracy is required
to compare our theoretical predictions with the experiments.
Nevertheless, leading order (LO) predictions are qualitative and do not
provide any reliable comparison between theory and experiment.
Therefore, predictions at higher orders are required.
Despite the impressive success of calculations at
next-to-leading order (NLO) to reduce the uncertainty
of theoretical predictions, more accuracy is still needed.
Hence, calculations at next-to-next-to-leading order (NNLO)
are currently mandatory. In this talk, we provide an overview of
the modern techniques to compute scattering amplitudes at a certain order.
To this end, traditional methods based on the evaluation of
Feynman diagrams are reformulated in such a way that formal properties
of scattering amplitudes allow for simplifications in the latter.
We illustrate the power is these new techniques with benchmark physical
examples, the study of mathematical properties of the scattering
amplitudes, and the intrinsic relations between gauge and gravity theories.