深度非弹性散射中的重夸克产生：唯象学的梅林矩
Heavy-Quark Production in DIS: Mellin Moments for Phenomenology
AI总结：
本文计算了深度非弹性散射中重夸克产生的次领头阶梅林矩，检验了唯象参数化精度，并首次精确确定了次次领头阶的最低矩。
AI中文摘要：
深度非弹性散射中的重夸克产生可探测胶子分布，当前和未来数据的精度要求超越次次领头阶的预言。我们计算了 $F_2$ 和 $F_L$ 的次领头阶重夸克系数函数的偶数梅林矩 $N = 2$ 至 $22$，保留了完整的重夸克质量依赖。这包括胶子通道，目前尚无该通道的解析结果。这些矩为唯象学中使用的参数化提供了检验：在代表性运动学点上，胶子通道的精度优于百分之一，而在夸克通道中，我们在广泛的梅林矩范围内发现偏差高达 $20\%$，表明相应的 $x$ 空间分布存在显著差异。作为次次领头阶的新结果，最低矩 $N = 2$ 已被精确确定。
英文摘要：
Heavy-quark production in deep-inelastic scattering probes the gluon distribution, and the precision of current and future data requires predictions beyond next-to-leading order. We calculate the even Mellin moments $N = 2$ to $22$ of the next-to-leading-order heavy-quark coefficient functions for $F_2$ and $F_L$, retaining the full heavy-quark mass dependence. This includes the gluon channel, for which no analytic result is available. They provide a test of the parametrisations used in phenomenology: at a representative kinematic point these are accurate to better than one per cent in the gluon channel, whereas in the quark channels we find deviations of up to $20\%$ over a wide range of Mellin moments, signalling significant differences in the corresponding $x$-space distributions. As a new result at next-to-next-to-leading order, the lowest moment $N = 2$ has been determined exactly.
