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21–22 Oct 2024
Humanistiska Teatern, Engelska Parken. Uppsala
Europe/Stockholm timezone

Landau Singularities from Whitney Stratifications

22 Oct 2024, 14:15
15m
Humanistiska Teatern, Engelska Parken. Uppsala

Humanistiska Teatern, Engelska Parken. Uppsala

Thunbergsvägen 3C

Speaker

Felix Tellander (University of Oxford)

Description

I will demonstrate that the complete and non-redundant set of Landau singularities of Feynman integrals may be explicitly obtained from the Whitney stratification of a certain map. As a proof of concept, I leverage recent theoretical and algorithmic advances in their computation in order to determine this set for nontrivial examples of two-loop integrals. Interestingly, different strata of the Whitney stratification describe not only the singularities of a given integral, but also those of integrals obtained from kinematic limits, e.g. by setting some of its masses or momenta to zero.

Primary author

Felix Tellander (University of Oxford)

Presentation materials