Linearly polarized gluon distributions in the color dipole model
Linearly polarized gluon distributions in the color dipole model
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DOI：
10.1103/physrevd.85.045003
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发表时间：
2011-09
影响因子：
5
通讯作者：
F. Dominguez;J. Qiu;B. Xiao;F. Yuan
中科院分区：
文献类型：
--
作者：
F. Dominguez;J. Qiu;B. Xiao;F. Yuan
当我们推导DIS双喷射产生和Drell-Yan双喷射（${\ensuremath{\gamma}}^{*}$喷射相关）过程的完整横截面时，我们表明色偶极模型中出现了线性极化胶子分布。与正常的Weizs\“acker-Williams胶子分布一起，线极化胶子分布将作为关联极限中$\mathrm{cos}（2\ensuremath{\Delta}\ensuremath{\phi}）$项的系数贡献于DIS双喷流产生截面。我们还得到了Drell-Yan双喷过程截面的精确结果，发现与正常偶极胶子分布相同的线极化偶极胶子分布也包含在截面中。所得结果与前人的横动量因子分解结果一致。我们进一步推导出这些线性极化胶子分布的小x演化，并发现它们在高能时随着x变小而上升。
We show that the linearly polarized gluon distributions appear in the color dipole model as we derive the full cross sections of the DIS dijet production and the Drell-Yan dijet (${\ensuremath{\gamma}}^{*}$ jet correlation) process. Together with the normal Weizs\"acker-Williams gluon distribution, the linearly polarized one will contribute to the DIS dijet production cross section as the coefficient of the $\mathrm{cos}(2\ensuremath{\Delta}\ensuremath{\phi})$ term in the correlation limit. We also derive the exact results for the cross section of the Drell-Yan dijet process, and find that the linearly polarized dipole gluon distribution which is identical to the normal dipole gluon distribution involves in the cross section. The results obtained in this paper agree with the previous transverse momentum dependent factorization study. We further derive the small-$x$ evolution of these linearly polarized gluon distributions and find that they rise as $x$ gets small at high energy.