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

Arithmetic and geometry of a K3 surface emerging from virtual corrections to Drell–Yan scattering
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从 Drell-Yan 散射虚拟校正中得出的 K3 表面的算术和几何

DOI:
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发表时间:
2019
影响因子:
1.9
通讯作者:
Bartosz Naskręcki
Bartosz Naskręcki
中科院分区:
数学2区
文献类型:
--
作者:
M. Besier;Dino Festi;Michael C. Harrison;Bartosz Naskręcki

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本文研究了Drell-Yan散射的双圈混合电弱量子色动力学虚修正中出现的K3曲面。详细分析了几何皮卡格,计算其秩和判别式在两个独立的方式:首先使用显式因子的表面上,然后使用显式椭圆纤维化。我们还研究了详细的椭圆纤维化的表面,并使用它们提供一个明确的Shioda-Inose结构。此外,我们指出我们的结果的物理相关性。
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.
完全实三次域上的椭圆曲线是模的
DOI: 10.2140/ant.2020.14.1791
发表时间: 2020
影响因子: 1.3
作者:
Derickx M
通讯作者: Derickx M