arXiv 1503.042102015-03-13hep-ph

1-Jettiness DIS谱：因子分解、恢复和Jet算法依赖性

The 1-Jettiness DIS Spectrum: Factorization, Resummation, and Jet Algorithm Dependence

Zhong-Bo Kang, Xiaohui Liu, Sonny Mantry, Jianwei Qiu

备注：: 7 pages, 4 figures, conference proceedings for "PAVI 14: From Parity Violation to Hadron Structure, 2014"

摘要：

深度非弹性散射（DIS）的1-Jettiness（tau_1）事件形状可以定量和全局地描述电子-核（N_A）碰撞e^- + N_A \to e^- + J + X中产生单喷注（J）的QCD辐射图案。它允许QCD的精确研究，并且是原子核结构和动力学的灵敏探针。末态喷流$J$的大横向动量（P_{J_T}）表征了问题中的硬尺度。其中τ_1 P_{J_T}的相空间的区域对应于其中高能辐射（E~ P_{J_T}）仅沿着单个射流方向或波束方向的配置，其中仅软辐射（E ~ τ_1 P_{J_T}）在其间。因此，限制τ_1 P_{J_T}对应于对附加喷流的否决，并且导致必须被否决的τ_1/ P_{J_T}的大的Sudakov矩阵。基于一个因式分解的框架，使用软共线有效理论（SCET），我们提供了在NNLL水平的精度和匹配的NLO结果，在固定阶微扰理论，适当的τ_1 \sim P_{J_T}区域，允许额外的射流和硬辐射的再确认结果。τ_1分布取决于用于在区域tau_1 ~ P_{J_T}中找到领先喷流的喷流算法，这与在τ_1/ P_{J_T} << 1中这种依赖性被功率抑制的再膨胀区域不同。我们给出了整个tau_1谱的结果，其中，我们利用反KT喷射算法，在重混区域和固定阶区域之间具有平滑匹配。1-Jettiness事件的形状可以是一个强大的探测核和QCD动力学在未来的电子-离子对撞机和分析现有的HERA数据。

英文摘要：

The 1-Jettiness (tau_1) event shape for Deep Inelastic Scattering (DIS), allows for a quantitative and global description of the pattern of QCD radiation for single jet (J) production in electron-nucleus (N_A) collisions e^- + N_A \to e^- + J + X. It allows for precision studies of QCD and is a sensitive probe of nuclear structure and dynamics. The large transverse momentum (P_{J_T}) of the final state jet $J$, characterizes the hard scale in the problem. The region of phase space where tau_1 << P_{J_T}, corresponds to configurations where energetic radiation (E~ P_{J_T}) is only along either the single jet direction or the beam direction with only soft radiation (E ~ τ_1 <<P_{J_T}) in between. Thus, the restriction tau_1 << P_{J_T} corresponds to a veto on additional jets and leads to large Sudakov logarithms of τ_1/P_{J_T} that must be resummed. Based on a factorization framework, derived using the Soft Collinear Effective Theory (SCET), we provide resummation results at the NNLL level of accuracy and match them onto the NLO result in fixed order perturbation theory, appropriate in the τ_1 \sim P_{J_T} region where additional jets and hard radiation are allowed. The τ_1-distribution depends on the jet algorithm used to find the leading jet in the region tau_1 ~ P_{J_T}, unlike the resummation region where this dependence is power suppressed in tau_1/P_{J_T} << 1. We give results for the entire tau_1 spectrum, with a smooth matching between the resummation region and fixed-order region, where we make use of the anti-kt jet algorithm. The 1-Jettiness event shape can be a powerful probe of nuclear and QCD dynamics at future electron-ion colliders and by analyzing existing HERA data.

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