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Phenomenological extraction of a universal TMD fragmentation function from single hadron production in $e^+ e^-$ annihilations

M. Boglione, J.O. Gonzalez-Hernandez, A. Simonelli

SciPost Phys. Proc. 8, 139 (2022) · published 14 July 2022

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Factorizing the cross section for single hadron production in $e^+e^-$ annihilations, differential in $z_h$, $P_T$ and thrust, is a highly non trivial task. We have devised a factorization scheme that allows us to recast the $e^+e^- \to hX$ cross section in the convolution of a calculable hard coefficient and a universal Transverse Momentum Dependent (TMD) Fragmentation Function (FF). The predictions obtained from our NLO-LL perturbative computation, together with a simple ansatz to model the non-perturbative part of the TMD, are applied to the experimental measurements of the BELLE Collaboration for the phenomenological extraction of this process independent TMD FF.

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