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Status of Intersection Theory and Feynman Integrals
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We give a pedagogical review of the recently-introduced notion of a "scalar product" between Feynman integrals and how it helps us understand the analytic structure of the perturbative S-matrix. (This article is a contribution to the proceedings of the workshop "MathemAmplitudes 2019: Intersection Theory and Feynman Integrals" held in Padova, Italy on 18-20 December 2019.)
Forward citations
Cited by 4 Pith papers
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Intersection matrices of geometric-ordered Feynman integral bases are Laurent polynomials or, after a power-of-epsilon factor, integers, which enables systematic elimination of redundant auxiliary functions on the max...
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Differential Space of Feynman Integrals: Annihilators and $\mathcal{D}$-module
A Griffiths-Dwork based algorithm builds annihilators and D-modules for Feynman-like integrals, and in all tested cases the holonomic rank matches the twisted de Rham cohomology dimension.
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Scaffolding Residues in Yang-Mills-Scalar \`a la CHY
A CHY-level derivation showing that the scaffolding residue of 2n-scalar Yang-Mills-Scalar amplitudes reproduces n-gluon amplitudes, with the pfaffian of A turning into the pfaffian of Psi.
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