Communications in Number Theory and Physics
Volume 14 (2020)
Arithmetic and geometry of a K3 surface emerging from virtual corrections to Drell–Yan scattering
Pages: 863 – 911
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.
The second-named author was supported by the grant SFB/TRR 45 in Mainz.
Received 30 September 2019
Accepted 16 April 2020
Published 2 October 2020