重喷注质量分布中Sudakov肩峰对数的NNLL重求和
NNLL Resummation of Sudakov Shoulder Logarithms in the Heavy Jet Mass Distribution
AI总结：
本研究将重喷注质量分布中Sudakov肩峰对数的重求和扩展至NNLL阶，结合双喷注对数重求和，通过位置空间分析解决动量空间非物理奇点问题，助力更精确提取强耦合常数。
摘要：
重喷注质量事件形状在领头阶运动学阈值ρ=1/3附近存在大的微扰对数。Catani和Webber将这些对数命名为Sudakov肩峰，并在双对数水平上对其进行了重求和。近期研究已实现了次领头对数阶的重求和。本文中，我们利用有效场论框架将重求和扩展至次次领头对数（NNLL）阶，并展示了如何将其与双喷注对数的重求和相结合。我们还以类似Drell-Yan横动量q_T谱中解决该问题的方式，解决了重求和动量空间分布中存在非物理奇点的开放问题：通过对位置空间中的运动学和标度设定进行细致分析。重喷注质量Sudakov肩峰是首个不涉及横动量、且位置空间重求和对其至关重要的可观测量。这些进展有望推动从e⁺e⁻数据中更精确地提取强耦合常数。
英文摘要：
The heavy jet mass event shape has large perturbative logarithms near the leading order kinematic threshold at $ρ= \frac{1}{3}$. Catani and Webber named these logarithms Sudakov shoulders and resummed them at double-logarithmic level. A resummation to next-to-leading logarithmic level was achieved recently. Here, we extend the resummation using an effective field theory framework to next-to-next-to-leading logarithmic order and show how to combine it with the resummation of dijet logarithms. We also solve the open problem of an unphysical singularity in the resummed momentum space distribution, in a way similar to how it is resolved in the Drell-Yan $q_T$ spectrum: through a careful analysis of the kinematics and scale-setting in position space. The heavy jet mass Sudakov shoulder is the first observable that does not involve transverse momentum for which position space resummation is critical. These advances may lead to a more precise extraction of the strong coupling constant from $e^+ e^-$ data.
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