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arxiv: 1407.0965 · v1 · pith:T42GP6XDnew · submitted 2014-07-03 · ✦ hep-ph

TMDs in Laguerre polynomial basis

classification ✦ hep-ph
keywords expansionmodificationtmdsbasislaguerreoperatorpolynomialpower
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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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