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arXiv 1402.1186hep-ph
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小x时纵向结构函数的非线性修正

Nonlinear correction to the longitudinal structure function at small x

G. R. Boroun

摘要:

我们采用非线性Dokshitzer-Gribov-Lipatov-Altarelli-parisi(NLDGMM)演化方程方法,在小$x$下计算了质子的纵向结构函数$F_{L}$.对于胶子分布,非线性效应与纵向结构函数有关。通过求解Gribov,Levin,Ryskin,Mueller和Qiu(GLR-MQ)演化方程,引入非线性跟踪项,得到了胶子分布的极小$x$行为.我们发现,屏蔽效应可以抑制线性QCD演化方程所对应的强上升。因此,所获得的纵向结构函数在小的$x$处显示出驯服的增长。我们计算的所有细节的非线性纵向结构函数的运动学范围内,它已被测量的$H1$合作,并与计算Moch,Vermaseren和Vogt在二阶与输入数据从MRST QCD拟合。

英文摘要:

We computed the longitudinal proton structure function $F_{L}$, using the nonlinear Dokshitzer-Gribov-Lipatov-Altarelli-parisi (NLDGLAP) evolution equation approach at small $x$. For the gluon distribution, the nonlinear effects are related to the longitudinal structure function. As, the very small $x$ behavior of the gluon distribution is obtained by solving the Gribov, Levin, Ryskin, Mueller and Qiu (GLR-MQ) evolution equation with the nonlinear shadowing term incorporated. We show, the strong rise that is corresponding to the linear QCD evolution equations, can be tamed by screening effects. Consequently, the obtained longitudinal structure function shows a tamed growth at small $x$. We computed the predictions for all detail of the nonlinear longitudinal structure function in the kinematic range where it has been measured by $H1$ collaboration and compared with computation Moch, Vermaseren and Vogt at the second order with input data from MRST QCD fit.

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