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arXiv 0801.0937hep-ph
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QCD中虚光子结构函数的次次领头阶质量修正

Target Mass Corrections for the Virtual Photon Structure Functions to the Next-to-next-to-leading Order in QCD

Yoshio Kitadono, Ken Sasaki, Takahiro Ueda, Tsuneo Uematsu

备注：
24 pages, LaTeX, 7 eps figures, REVTeX 4
发表信息：
Phys.Rev.D77:054019,2008
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摘要：

研究了微扰QCD中运动学区域$Λ^2 \ll P^2 \ll Q^2$的非偏振虚光子结构函数$F_2^γ(x,Q^2,P^2)$和$F_L^γ(x,Q^2,P^2)$中的目标质量效应，其中$-Q^2(-P^2)$是探测（目标）光子的质量平方，$Λ$是QCD的标度参数.我们得到的Nachtmann矩的结构功能，然后，通过反转的时刻，我们得到的表达式在封闭的形式$F_2^γ(x,Q^2,P^2)$的次次领头阶和$F_L^γ(x,Q^2,P^2)$的次到首序，这两个都包括目标质量校正。数值分析表明，目标质量效应出现在大的$x$，并成为相当大的$x_{\rm max}(=1/(1+\frac{P^2}{Q^2}))$附近，$x$的最大值，随着比例$P^2/Q^2$增加。

英文摘要：

We investigate target mass effects in the unpolarized virtual photon structure functions $F_2^γ(x,Q^2,P^2)$ and $F_L^γ(x,Q^2,P^2)$ in perturbative QCD for the kinematical region $Λ^2 \ll P^2 \ll Q^2$, where $-Q^2(-P^2)$ is the mass squared of the probe (target) photon and $Λ$ is the QCD scale parameter. We obtain the Nachtmann moments for the structure functions and then, by inverting the moments, we get the expressions in closed form for $F_2^γ(x,Q^2,P^2)$ up to the next-to-next-to-leading order and for $F_L^γ(x,Q^2,P^2)$ up to the next-to-leading order, both of which include the target mass corrections. Numerical analysis exhibits that target mass effects appear at large $x$ and become sizable near $x_{\rm max}(=1/(1+\frac{P^2}{Q^2}))$, the maximal value of $x$, as the ratio $P^2/Q^2$ increases.

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