Drell-Yan散射虚修正后的K3曲面的算术和几何

IF 1.2 3区数学 Q1 MATHEMATICS

Communications in Number Theory and Physics Pub Date : 2019-08-02 DOI:10.4310/cntp.2020.v14.n4.a4

M. Besier, Dino Festi, Michael C. Harrison, Bartosz Naskręcki

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引用次数: 15

摘要

我们研究了一个K3表面，它出现在双环混合电弱-量子色动力学对Drell- Yan散射的虚修正中。对几何皮卡德格进行了详细的分析，用两种独立的方法计算其秩和判别式:首先在表面上使用显式除数，然后使用显式椭圆纤维。我们还详细研究了表面的椭圆振动，并利用它们提供了一个明确的Shioda- Inose结构。此外，我们指出了我们的结果的物理相关性。

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

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.

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来源期刊

Communications in Number Theory and Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： Focused on the applications of number theory in the broadest sense to theoretical physics. Offers a forum for communication among researchers in number theory and theoretical physics by publishing primarily research, review, and expository articles regarding the relationship and dynamics between the two fields.