Using the light-front holographic model, we study the transverse momentum-dependent parton distributions (TMDs) for the case of pion. At leading twist, the unpolarized parton distribution function f1π(x,k⊥2) and the Boer–Mulders function h1π⊥(x,k ⊥2) are obtained for pion. We calculate both the functions using the light-front holographic model with spin improved wave function and compare the predicted results with available results of other models. In order to provide inputs in predicting future experimental data, an LO evolution is performed from model scale to experimental scale for the case of unpolarized parton distribution function f1π(x,k⊥2).

中文翻译：

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光前全息模型中π介子的横向动量相关部分子分布

使用光前全息模型，我们研究了π介子的横向动量相关部分子分布（TMD）。在前导扭曲处，非极化部分子分布函数F1π(X,ķ⊥2)和 Boer-Mulders 函数H1π⊥(X,ķ ⊥2)获得π介子。我们使用具有自旋改进波函数的光前全息模型计算这两个函数，并将预测结果与其他模型的可用结果进行比较。为了在预测未来的实验数据中提供输入，对于非极化部分分布函数的情况，从模型规模到实验规模执行 LO 演化F1π(X,ķ⊥2).