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14 Feb, 2020 · 12:00 al 14 Feb, 2020 · 13:30 Facultad de Ciencias

Seminario: «Automating group theory calculations and the problem of listing EFT operators»

Renato Fonseca

Conferencias, seminarios, divulgación científica


Seminario impartido por Renato Fonseca (Charles University, Prague).

Resumen: High Energy Physics revolves around the study of symmetry groups and their representations. For example, one of the first tasks a model builder needs to perform is the computation of the allowed interactions between a set of fields. In this presentation I will discuss my efforts over the years to automate several group theory calculations which are relevant in particle physics. I will then discuss a particular application: the enumeration of the operators of an effective field theory (EFT). This can be a surprisingly complicated topic, yet in the last few years it has seen a remarkable progress due to the use of the Hilbert series technique. I will discuss how one can achieve a similar result with mathematical tools which might be more familiar to particle physicists.