Reanalysis of the BFKL Pomeron at the next-to-leading logarithmic accuracy

Reanalysis of the BFKL Pomeron at the next-to-leading logarithmic accuracy
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以次领先的对数精度重新分析 BFKL Pomeron

DOI:
10.1007/jhep10(2013)117
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发表时间:
2013-08
期刊:
The Journal of High Energy Physics
影响因子:
--
通讯作者:
Zhang, Qiong-Lian
Zhang, Qiong-Lian
中科院分区:
其他
文献类型:
--
作者:
Wu, Xing-Gang;Wang, Sheng-Quan;Shen, Jian-Ming;Zhang, Qiong-Lian

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我们将最大一致性原理(PMC)应用于Balitsky-Fadin-Kuraev-Lipatov(BFKL)Pmer on拦截,精度为倒数第二位的对数(Nll)。通过将非共形的{βi}项吸收到运行耦合中,消除了传统的重整化尺度的模糊性,从而可以得到更准确的pQCD估计。在PMC标度设置后,由于消除了pQCD级数中的重正子项,QCD微扰收敛可以得到很大的改善,并且BFKL庞默子截距对正则化胶子的虚性的依赖性很弱。例如,通过采用Fry-Yennie标尺,我们得到了Q2∈[1,100]GeV2的$\omega_{\mathm{MoM}^{\mathm{pmc}}$(q2,0)∈[0.149,0.176]。这是适用于高能现象学的一个很好的性质。此外,与数据进行比较,发现物理MOM方案比$OVERLINE{\mathm{MS}}$-方案更可靠。MOM格式依赖于规范,在PMC标度设置后也可以很大程度上抑制。我们采用朗道规范、费曼规范和Fry-Yennie规范三种规范讨论了波美隆截距的矩量法规范依赖关系,得到了约10%的规范依赖关系。我们将BFKL Pmer子截距应用于光子-光子碰撞过程,并将理论预测与Opal和L3实验的数据进行了比较。
A bstractWe apply the principle of maximum conformality (PMC) to the Balitsky-Fadin-Kuraev-Lipatov (BFKL) Pomeron intercept at the next-to-leading logarithmic (NLL) accuracy. The PMC eliminates the conventional renormalization scale ambiguity by absorbing the non-conformal {βi}-terms into the running coupling, and a more accurate pQCD estimation can be obtained. After PMC scale setting, the QCD perturbative convergence can be greatly improved due to the elimination of renormalon terms in pQCD series, and the BFKL Pomeron intercept has a weak dependence on the virtuality of the reggeized gluon. For example, by taking the Fried-Yennie gauge, we obtain $ \omega_{\mathrm{MOM}}^{\mathrm{PMC}} $(Q2, 0) ∈ [0.149, 0.176] for Q2 ∈ [1, 100] GeV2. This is a good property to apply to the high-energy phenomenology. Further more, to compare with the data, it is found that the physical MOM-scheme is more reliable than the $ \overline{\mathrm{MS}} $-scheme. The MOM-scheme is gauge dependent, which can also be greatly suppressed after PMC scale setting. We discuss the MOM-scheme gauge dependence for the Pomeron intercept by adopting three gauges, i.e. the Landau gauge, the Feynman gauge and the Fried-Yennie gauge, and we obtain $ \omega_{\mathrm{MOM}}^{\mathrm{PMC}} $(Q2 = 15 GeV2, 0) = $ 0.166_{-0.017}^{+0.010 } $; i.e. about 10% gauge dependence is observed. We apply the BFKL Pomeron intercept to the photon-photon collision process, and compare the theoretical predictions with the data from the OPAL and L3 experiments.
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