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arxiv: 2402.14787 · v2 · pith:J2SJRBNUnew · submitted 2024-02-22 · ✦ hep-th · math-ph· math.AG· math.MP

Landau Singularities from Whitney Stratifications

classification ✦ hep-th math-phmath.AGmath.MP
keywords integralssingularitieswhitneylandauobtainedstratificationadvancesalgorithmic
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We 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, we 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.

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Cited by 2 Pith papers

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