Laguerre多项式基下的TMD
TMDs in Laguerre polynomial basis
摘要：
我们建议修改的标准方法，以TMD。该修改包括考虑在不同算子基础上的小$b_T$算子乘积展开。我们建议使用Laguerre多项式展开代替幂展开。在这样的方案中，与在小$b_T$处降低非微扰因子的重要性的功率扩展相比，OPE的第一项在$b_T$的更宽范围内使TMD饱和。所提出的修改不违反任何TMD性质，可以在任何公式的TMD因式分解。
英文摘要：
We suggest modification of the standard approach to TMDs. The modification consists in the consideration of the small $b_T$ operator product expansion in the different operator basis. Instead of power expansion we suggest to use the Laguerre polynomial expansion. Within such a scheme the first term of OPE saturates TMDs in the wider range of $b_T$ in comparison to the power expansion that decreases the significance of non-perturbative factor at small $b_T$. The presented modification does not violate any TMD properties and can be used within any formulation of TMD factorization.
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