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Arithmetic and geometry of a K3 surface emerging from virtual corrections to Drell--Yan scattering

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arxiv 1908.01079 v3 pith:3LGSRK7Z submitted 2019-08-02 math.AG hep-thmath.NT

Marco Besier , Dino Festi , Michael Harrison , Bartosz Naskrecki This is my paper · ORCID
classification math.AGhep-thmath.NT
keywords surfaceexplicitcorrectionsdrell--yanellipticscatteringvirtualanalysis
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We study a K3 surface, which appears in the two-loop mixed electroweak-quantum chromodynamic virtual corrections to Drell--Yan scattering. A detailed analysis of the geometric Picard lattice is presented, computing its rank and discriminant in two independent ways: first using explicit divisors on the surface and then using an explicit elliptic fibration. We also study in detail the elliptic fibrations of the surface and use them to provide an explicit Shioda--Inose structure. Moreover, we point out the physical relevance of our results.

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  1. Special Fano geometry from Feynman integrals

    hep-th 2024-12 conditional novelty 5.0 of 10

    Special Fano varieties, which include Calabi-Yau spaces as the Q=1 case, arise from the Symanzik polynomials of several families of Feynman integrals.

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