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arXiv 1708.01256hep-ph
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质子的光子含量

The Photon Content of the Proton

Aneesh V. Manohar, Paolo Nason, Gavin P. Salam, Giulia Zanderighi

摘要:

质子的光子概率密度函数是将大型强子对撞机的截面与理论预测进行精确比较所必需的。在最近的一篇论文中,我们指出了如何根据电子-质子散射实验中测量的电磁质子结构函数$F_2$和$F_L$来确定光子概率密度函数,并给出了一个包含次至首阶所有项的明确的概率密度函数公式。在本文中,我们给出详细的推导。我们得到的光子PDF使用因式分解定理,并将其应用到合适的BSM硬散射过程。我们还获得了相同的PDF在一个过程中独立的方式使用通常的定义的PDF的光锥傅立叶变换的产品的运营商。我们展示了如何我们的方法给出了一个精确的表示的光子PDF的$F_2$和$F_L$,有效的QED和QCD中的所有订单,并包括所有的非微扰修正。这个表示,然后用于给出一个明确的公式,光子PDF比我们以前的结果高一个订单。我们还概括了我们的结果,以获得公式的偏振光子PDF,以及光子TMDPDF。利用我们的公式,我们导出了$αα_s$和$α^2$阶的DGstrom分裂函数的$P_{γi}$子集,与已知结果一致.我们给出了一个详细的解释,我们遵循的方法来确定一个光子PDF和它的不确定性在上述框架内。

英文摘要:

The photon PDF of the proton is needed for precision comparisons of LHC cross sections with theoretical predictions. In a recent paper, we showed how the photon PDF could be determined in terms of the electromagnetic proton structure functions $F_2$ and $F_L$ measured in electron-proton scattering experiments, and gave an explicit formula for the PDF including all terms up to next-to-leading order. In this paper we give details of the derivation. We obtain the photon PDF using the factorisation theorem and applying it to suitable BSM hard scattering processes. We also obtain the same PDF in a process-independent manner using the usual definition of PDFs in terms of light-cone Fourier transforms of products of operators. We show how our method gives an exact representation for the photon PDF in terms of $F_2$ and $F_L$, valid to all orders in QED and QCD, and including all non-perturbative corrections. This representation is then used to give an explicit formula for the photon PDF to one order higher than our previous result. We also generalise our results to obtain formulæ for the polarised photon PDF, as well as the photon TMDPDF. Using our formula, we derive the $P_{γi}$ subset of DGLAP splitting functions to order $αα_s$ and $α^2$, which agree with known results. We give a detailed explanation of the approach that we follow to determine a photon PDF and its uncertainty within the above framework.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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