论文标题
一个新的表述,未集成的gluon分布
A novel formulation of the unintegrated gluon distribution for DIS
论文作者
论文摘要
我们提供了包容性Gluon引起的深度非弹性散射横截面的半古典描述,其构成了Regge和Bjorken限制的领先力量。因此,我们的方法允许系统匹配小小的和中等$ x _ {\ rm bj} $ gluon质子结构功能的制度。我们发现了一个新的不整合的Gluon分布,其明确依赖于纵向动量分数$ x $,该分数完全涵盖了偶极子操作员和Gluonic Parton分布功能。在晶格上计算该规格不变的Gluon操作员可以从第一原理探测饱和量表的能量依赖性。
We provide a semi-classical description of the inclusive gluon induced Deep Inelastic Scattering cross section in a way that accounts for the leading powers in both the Regge and Bjorken limits. Our approach thus allows a systematic matching of small and moderate $x_{\rm Bj}$ regimes of gluon proton structure functions. We find a new unintegrated gluon distribution with an explicit dependence on the longitudinal momentum fraction $x$ which entirely spans both the dipole operator and the gluonic Parton Distribution Function. Computing this gauge invariant gluon operator on the lattice could allow to probe the energy dependence of the saturation scale from first principles.