Different processes have been yet studied in the noncommutative standard model (NCSM) and various limits on the scale of noncommutative parameter have been determined. In the present work we, for the first time, investigate the production process of heavy hadrons through pair annihilation in the NCSM using Seiberg-Witten maps to the second-order of noncommutative parameter . Having experimental data from Belle and OPAL Collaborations for inclusive production of B-mesons we will determine a low limit for the noncommutative scale . The effects of noncommutativity will be imposed both on the differential cross section at the parton level () and the fragmentation function of so that the limit TeV is determined. Using analytical result for the pair annihilation cross section we will also predict the production rate of mesons in future electron-positron international linear collider (ILC).

中文翻译：

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通过普通和非交换 SM 中的对湮灭产生重强子

在非交换标准模型（NCSM）中已经研究了不同的过程，并且已经确定了非交换参数范围的各种限制。在目前的工作中，我们首次使用二阶非交换参数的 Seiberg-Witten 映射来研究 NCSM 中通过对湮灭产生重强子的过程。有了来自 Belle 和 OPAL Collaborations 的 B 介子包容性生产的实验数据，我们将确定非交换尺度的下限。非交换性的影响将同时作用于部分子能级 () 的微分截面和 的碎裂函数上，从而确定极限 TeV。利用对湮灭截面的分析结果，我们还将预测未来正负电子国际直线对撞机（ILC）中介子的产生速率。