In this study, the fragmentation functions (FF) for the production of Bc meson (1S and 2S-states) in c → Bc and b → Bc processes at the leading order (LO) and next-to-leading order (NLO) are derived. Moreover, some technical details about the contributions of the first two sets, n = 1 and n = 2 of S-wave states currents in dimensional regularization scheme are discussed. The differences between the fragmentation functions indicated that the NLO corrections enhanced the fragmentation probability (FP). Also, the probability of production of Bc meson in 1S state and in b → Bc process was more than the one in 1S state and c → Bc process.

中文翻译：

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在 NLO 生产 Bc Meson

在本研究中，在 c → Bc 和 b → Bc 过程中，以领先顺序 (LO) 和次领先顺序 (NLO) 产生 Bc 介子（1S 和 2S 态）的碎裂函数 (FF) 为衍生的。此外，讨论了关于前两个集合 n = 1 和 n = 2 的 S 波态电流在维度正则化方案中的贡献的一些技术细节。碎裂函数之间的差异表明 NLO 校正增强了碎裂概率 (FP)。此外，在 1S 态和 b → Bc 过程中产生 Bc 介子的概率大于在 1S 态和 c → Bc 过程中产生的概率。