A constructible function built from the vanishing hypersurface of a Feynman integrand is claimed to encode all Landau singularities, their microlocal directions, and the number of master integrals on each singular stratum.
Using (7) and eliminating the conormal variables we find the Landau singularities Z = V(p2m2 1m2 2((m2 1 + m2 2 − p2)2 − 4m2 1m2 2))
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Geometric Singularities of Feynman Integrals
A constructible function built from the vanishing hypersurface of a Feynman integrand is claimed to encode all Landau singularities, their microlocal directions, and the number of master integrals on each singular stratum.