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. © 2020. All rights reserved.
Arithmetic and geometry of a K3 surface emerging from virtual corrections to Drell-Yan scattering / Besier, M.; Festi, D.; Harrison, M.; Naskr?cki, B.. - In: COMMUNICATIONS IN NUMBER THEORY AND PHYSICS. - ISSN 1931-4523. - 14:4(2020), pp. 863-911. [10.4310/CNTP.2020.V14.N4.A4]
Arithmetic and geometry of a K3 surface emerging from virtual corrections to Drell-Yan scattering
Festi, D.;
2020
Abstract
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. © 2020. All rights reserved.| File | Dimensione | Formato | |
|---|---|---|---|
|
CNTP-2020-0014-0004-a004.pdf
non disponibili
Licenza:
Non specificato
Dimensione
504.51 kB
Formato
Adobe PDF
|
504.51 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
