Arithmetic and geometry of a K3 surface emerging from virtual corrections to DrellYan scattering
Abstract
We study a K3 surface, which appears in the twoloop mixed electroweakquantum chromodynamic virtual corrections to DrellYan 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 ShiodaInose structure. Moreover, we point out the physical relevance of our results.
 Publication:

arXiv eprints
 Pub Date:
 August 2019
 arXiv:
 arXiv:1908.01079
 Bibcode:
 2019arXiv190801079B
 Keywords:

 Mathematics  Algebraic Geometry;
 High Energy Physics  Theory;
 Mathematics  Number Theory;
 14C22;
 11G50;
 14J81;
 14J28;
 11G05
 EPrint:
 Revised version. 38 pages, 3 figures. To appear on Communication in Number Theory and Physics. Comments welcome