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arXiv 1702.01663hep-ph
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描述LHC喷气产生的因子分解尺度的最佳选择

Optimal choice of factorization scales for the description of jet production at the LHC

A. D. Martin, M. G. Ryskin

摘要:

为了获得更精确的部分子分布函数,在全局部分子分析中包括高横向能量喷流产生的数据是很重要的。这些数据具有很高的统计性,微扰QCD(pQCD)描述中的NNLO项现在是可用的。我们的目标是减少喷流数据与pQCD比较的不确定性。为了确保pQCD级数的最佳收敛性,选择适当的因子分解标度$μ_F$是很重要的。我们表明,它是可能的吸收和恢复在传入的PDF和碎片功能($D$)的一个重要组成部分,更高的$α_s$阶校正通过确定“最佳”值的$μ_F$。我们强调,有必要为截面中的各种因子优化不同的因子分解尺度:事实上,PDF和碎片化函数都有自己的最佳尺度。我们展示了如何计算这些尺度的值的LO(NLO)部分的pQCD预测的截面的基础上,理论上已知的NLO(NNLO)的修正。在这些尺度被固定在它们的最佳值之后,剩余因子分解尺度依赖性大大降低。

英文摘要:

To obtain more precise parton distribution functions (PDFs) it is important to include data on inclusive high transverse energy jet production in the global parton analyses. These data have high statistics and the NNLO terms in the perturbative QCD (pQCD) description are now available. Our aim is to reduce the uncertainty in the comparison of the jet data with pQCD. To ensure the best convergence of the pQCD series it is important to choose the appropriate factorization scales, $μ_F$. We show that it is possible to absorb and resum in the incoming PDFs and fragmentation function ($D$) an essential part of the higher $α_s$ order corrections by determining the `optimal' values of $μ_F$. We emphasize that it is necessary to optimize different factorization scales for the various factors in the cross section: indeed, both of the PDFs, and also the fragmentation function, have their own optimal scale. We show how the values of these scales can be calculated for the LO (NLO) part of the pQCD prediction of the cross section based on the theoretically known NLO (NNLO) corrections. After these scales are fixed at their optimal values, the residual factorization scale dependence is much reduced.

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