arXiv 2201.098132022-01-24hep-phhep-lat

全息光阵面QCD中单个尺度相关的Pomeron

Towards a single scale-dependent Pomeron in holographic light-front QCD

Hans Günter Dosch, Guy F. de Téramond, Tianbo Liu, Raza Sabbir Sufian, Stanley J. Brodsky, Alexandre Deur

备注：: 22 pages, 6 figures

摘要：

Pomeron Regge轨线是高能强子总截面和衍射反应动力学依赖性的基础。坡密子的物理性质与目标强子的胶子分布函数和胶子引力形状因子密切相关。本文在全息光阵面QCD和Veneziano模型的框架下，研究了核子和π介子中非微扰胶子分布的尺度依赖性，这是在以前的文章[Phys.Rev.D104，114005（2021）]中导出的。我们认为胶子分布函数$g(x,μ)$到大$μ^2$的QCD演化导致了一个单一的标度依赖的坡密子。由此得到的Pomeron轨迹$α_P(t, μ)$不仅依赖于动量转移平方$t$，而且依赖于振幅的物理尺度$μ$，例如包含衍射电产生中相互作用光子的虚性$Q^2$。这不仅可以解释质子结构函数$F_2(x,Q^2)$在小$x$处的$Q^2$演化，而且可以解释所观察到的涉及虚光子到LHC能量的高能衍射过程的能量和$Q^2$依赖性。

英文摘要：

The Pomeron Regge trajectory underlies the dynamics dependence of hadronic total cross sections and diffractive reactions at high energies. The physics of the Pomeron is closely related to the gluon distribution function and the gluon gravitational form factor of the target hadron. In this article we examine the scale dependence of the nonperturbative gluon distribution in the nucleon and the pion which was derived in a previous article [Phys. Rev. D 104, 114005 (2021)] in the framework of holographic light-front QCD and the Veneziano model. We argue that the QCD evolution of the gluon distribution function $g(x,μ)$ to large $μ^2$ leads to a single scale-dependent Pomeron. The resulting Pomeron trajectory $α_P(t, μ)$ not only depends on the momentum transfer squared $t$, but also on the physical scale $μ$ of the amplitude, such as the virtuality $Q^2$ of the interacting photon in inclusive diffractive electroproduction. This can explain not only the $Q^2$ evolution of the proton structure function $F_2(x,Q^2)$ at small $x$, but also the observed energy and $Q^2$ dependence of high energy diffractive processes involving virtual photons up to LHC energies.

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