6533b861fe1ef96bd12c43b0

RESEARCH PRODUCT

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

Marco BesierDino FestiMichael HarrisonBartosz Naskrecki

subject

High Energy Physics - TheoryMathematics - Algebraic GeometryMathematics::Algebraic GeometryHigh Energy Physics - Theory (hep-th)Mathematics - Number TheoryHigh Energy Physics::PhenomenologyFOS: MathematicsFOS: Physical sciences14C22 11G50 14J81 14J28 11G05Number Theory (math.NT)Algebraic Geometry (math.AG)

description

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.

yearjournalcountryeditionlanguage
2019-08-02
http://arxiv.org/abs/1908.01079