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arXiv 2204.03026hep-phhep-exnucl-exnucl-th
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在小- $x$区NLO的$pA$碰撞中单个包含喷流的产生

Single Inclusive Jet Production in $pA$ Collisions at NLO in the small-$x$ regime

Hao-yu Liu, Kexin Xie, Zhongbo Kang, Xiaohui Liu

摘要:

我们提出了第一个完整的非线性光学预测与全喷流算法实现的单一包容性喷流生产$pA$碰撞内的CGC有效理论。我们的预测是完全差分的最终状态的物理运动学,它允许实施任何IR安全观察,包括射流聚类程序。在[1]中提出的功率计数的帮助下组织了NLO计算,这在CGC分解中产生了新的软贡献。我们通过构造适当的减法项来处理实修正中的奇异点,从而实现全微分计算。减法贡献可以精确地解析积分。我们提出了非线性光学截面与使用反$k_T$算法构造的射流。NLO计算明确地证明了CGC因子分解在喷气生产中的有效性。此外,作为减法的一个副产品,我们还推导出了在小- $R$极限下的前向喷流产生的完全解析截面。我们表明,在小$R$近似下,前向喷流截面可以分解成一个半硬的截面,产生一个部分子和半包容性的喷流功能。我们认为,这一功能适用于通用喷气生产和喷气子结构观测CGC框架。最后,我们给出了数值分析的推导公式来验证我们的计算。我们证明当小- $R$近似是适当的。与前向强子产生一样,在大喷注横向区,NLO结果也显示出截面的负性,这表明需要重新计算阈值。基于多重发射图像,给出了CGC框架下的阈值重建示意图。

英文摘要:

We present the first complete NLO prediction with full jet algorithm implementation for the single inclusive jet production in $pA$ collisions within the CGC effective theory. Our prediction is fully differential over the final state physical kinematics, which allows the implementation of any IR safe observable including the jet clustering procedure. The NLO calculation is organized with the aid of the power counting proposed in [1] which gives rise to the novel soft contributions in the CGC factorization. We achieve the fully-differential calculation by constructing suitable subtraction terms to handle the singularities in the real corrections. The subtraction contributions can be exactly integrated analytically. We present the NLO cross section with the jets constructed using the anti-$k_T$ algorithm. The NLO calculation demonstrates explicitly the validity of the CGC factorization in jet production. Furthermore, as a byproduct of the subtraction method, we also derive the fully analytic cross section for the forward jet production in the small-$R$ limit. We show that in the small-$R$ approximation, the forward jet cross section can be factorized into a semi-hard cross section that produces a parton and the semi-inclusive jet functions. We argue that this feature holds for generic jet production and jet substructure observables in the CGC framework. Last, we show numerical analyses of the derived formula to validate our calculations. We justify when the small-$R$ approximation is appropriate. Like forward hadron production, the obtained NLO result also exhibits the negativity of the cross section in the large jet transverse regime, which signals the need for the threshold resummation. A sketch of the threshold resummation in the CGC framework is presented based on the multiple emission picture.

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