4 papers
Landau Singularities from Whitney Stratifications
Martin Helmer, Georgios Papathanasiou, Felix Tellander
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…
Certificate for Orthogonal Equivalence of Real Polynomials by Polynomial-Weighted Principal Component Analysis
Martin Helmer, David Hong, Hoon Hong
Suppose that and are two real polynomials of degree in variables. If the polynomials and …
Geometric Singularities of Feynman Integrals
Martin Helmer, Felix Tellander
We provide a new method to calculate the full microlocal description of singularities of Feynman integrals. This is done by associating a unique constructible function to the syste…
Spectral Decomposition of Euler-Mellin Integrals
Martin Helmer, Felix Tellander
We consider the spectral decomposition of singularities of integrals and their integrands. Our results apply to any integral of Euler-Mellin type, and thus especially to every scal…