论文标题
NLO QCD校正为($γ^{*} \ rightarrow q \ bar {q} $) - reggeon vertex
NLO QCD Corrections to ($γ^{*}\rightarrow Q \bar{Q}$)-Reggeon Vertex
论文作者
论文摘要
计算$γ^{*} \ longrightArrow q \ bar {q} -Reggeon $顶点的临近订单QCD校正,其中$ q \ bar {q} $表示一个重型夸克对$ c \ bar c \ bar c $或$ b bar b \ bar b $。发现对光子影响因子的重夸克质量影响很重要,因此可能影响高能量光子光子散射和重夸克对卵生生殖的结果。在我们的NLO计算中,类似于无质量的情况,在标准过程中,紫外线(UV)差异完全重新归一化,而红外(IR)差异在尺寸正则化中受参数$ε_{ir} $调节。对于该过程,$γ^* + q \ to q \ bar {q} + q $,我们以$ε_{ir} $来计算所有NLO系数,并且发现它们由于夸克质量而增强,并且与轻夸克情况相比,随着夸克质量的增加,增强因子迅速增加。尽管没有完整的NLO计算中需要的实际校正,但这实际上可能表明夸克质量效应。此外,与$γ^{*} $对群众Quark-Reggeon顶点不同,本工作中的结果可能适用于真实的光子案例。
Next-to-leading order QCD corrections to the $γ^{*} \longrightarrow Q\bar{Q}-Reggeon$ vertex are calculated, where $Q\bar{Q}$ denotes a heavy quark pair $c\bar c$ or $b\bar b$. The heavy quark mass effects on the photon impact factor are found to be significant, and hence may influence the results of high energy photon-photon scattering and heavy quark pair leptoproduction. In our NLO calculation, similar to the massless case, the ultraviolate(UV) divergences are fully renormalized in the standard procedure, while the infrared (IR) divergences are regulated by the parameter $ε_{IR}$ in dimensional regularization. For the process $γ^* + q \to Q\bar{Q} + q$, we calculate all NLO coefficients in terms of $ε_{IR}$, and find they are enhanced due to the heavy quark mass, as compared with the light quark case, and the enhancement factors increase rapidly as the quark mass increases. This might essentially indicate the quark mass effect, in spite of the absence of real corrections that are needed in a complete NLO calculation. Moreover, unlike the $γ^{*}$ to massless-quark-Reggeon vertex, the results in the present work may apply to the real photon case.