arXiv 2308.024492023-08-04hep-ph

小 $x$ 下次领头阶的 Drell-Yan 对与喷注向前产生

Forward production of a Drell-Yan pair and a jet at small $x$ at next-to-leading order

Pieter Taels

备注：: 101 plus 17 pages (main text plus appendices and bibliography), 11 figures

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AI总结：

本文在低 $x$ 与向前快度下解析计算了 Drell-Yan 对与喷注产生的次领头阶过程，利用 Color Glass Condensate 理论与 BK-JIMWLK 演化方程处理多次散射与高能发散，证明截面完全有限。

摘要：

我们在向前快度与低 $x$ 下，对过程 $p+A\to γ^{*}+\mathrm{jet}+X$ 进行了次领头阶的解析计算。这些运动学条件证明了混合方法的合理性，其中来自“入射”质子的夸克与“靶”的胶子分布发生散射，靶可以是原子核或高度加速的质子。通过使用 Color Glass Condensate 有效理论方法，该胶子分布被允许如此密集，以至于夸克经历多次散射。此外，硬标度与质心能量之比中的大高能对数由 Balitsky, Kovchegov, Jalilian-Marian, Iancu, McLerran, Weigert, Leonidov, Kovner 或 BK-JIMWLK 演化方程进行重和。我们证明计算中遇到的所有紫外发散均被抵消，而高能发散被吸收进 BK-JIMWLK。剩余奇点本质上是共线的，当其源于初态辐射时，可被吸收进入射夸克的 Dokshitzer-Gribov-Lipatov-Altarelli-Parisi 演化；若由末态发射引起，则可通过引入喷注函数处理。所得截面完全有限，且仅用少量色算符表达。

英文摘要：

We perform the analytical next-to-leading order calculation of the process $p+A\to γ^{*}+\mathrm{jet}+X$, at forward rapidities and low $x$. These kinematics justify a hybrid approach, where a quark from the \textquoteleft projectile' proton scatters off the gluon distribution of the \textquoteleft target', which can be a nucleus or a highly boosted proton. By using the Color Glass Condensate effective theory approach, this gluon distribution is allowed to be so dense that the quark undergoes multiple scattering. Moreover, large high-energy logarithms in the ratio of the hard scale and the center-of-mass energy are resummed by the Balitsky, Kovchegov, Jalilian-Marian, Iancu, McLerran, Weigert, Leonidov, Kovner or BK-JIMWLK evolution equations. We demonstrate that all ultraviolet divergences encountered in the calculation cancel, while the high-energy divergences are absorbed into BK-JIMWLK. The remaining singularities are collinear in nature and can be either absorbed into the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution of the incoming quark, when they stem from initial-state radiation, or else can be treated by introduction of a jet function in case they are caused by final-state emissions. The resulting cross section is completely finite and expressed in function of only a small set of color operators.

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