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arXiv 2602.04455hep-ph
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重子产生在深度非弹性散射——结构函数的Mellin矩

Heavy-quark production in deep-inelastic scattering -- Mellin moments of structure functions

II. Institut für Theoretische Physik, Universität Hamburg(汉堡大学理论物理第二研究所);Theoretical Physics Department, CERN(欧洲核子研究中心理论物理部)

Marco Klann, Sven-Olaf Moch, Kay Schönwald

AI总结:

本文在量子色动力学次主导阶次中计算了深度非弹性散射中重子结构函数的Mellin矩,并提供了扩展到次次主导阶次的计算方法。

摘要:

我们计算了深度非弹性散射中重子结构函数的Mellin矩,在量子色动力学的次主导阶次中,保留其对重子质量的完整依赖。利用光学定理和算子乘积展开,我们推导了固定Mellin矩$N = 2$到$22$的结构函数$F_2$和$F_L$的解析结果。我们的结果在相关的渐进行限中重现了已知的表达式,特别是当交换光子的虚度$Q^2$远大于重子质量平方$m^2$时,并与现有次主导阶次系数函数的参数化一致。本工作开发的计算设置也提供了将这些计算扩展到次次主导阶次的直接途径。

英文摘要:

We compute Mellin moments of the heavy-quark structure functions in deep-inelastic scattering at next-to-leading order in quantum chromodynamics, retaining their full dependence on the heavy-quark mass. Using the optical theorem and the operator product expansion, we derive analytic results for fixed Mellin moments $N = 2$ to $22$ of the structure functions $F_2$ and $F_L$. Our results reproduce the known expressions in the relevant asymptotic limits, in particular for virtualities of the exchanged photon $Q^2$ much larger than the heavy-quark mass squared $m^2$, and are in agreement with existing parametrisations of the next-to-leading-order coefficient functions. The computational set-up developed in this work also provides a direct pathway toward extending these calculations to next-to-next-to-leading order.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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