TMDs in Laguerre polynomial basis

preprint2014arXivOpen access

Abstract

We suggest modification of the standard approach to TMDs. The modification consists in the consideration of the small bTb_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 bTb_T in comparison to the power expansion that decreases the significance of non-perturbative factor at small bTb_T. The presented modification does not violate any TMD properties and can be used within any formulation of TMD factorization.

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