Transverse Momentum Dependent Fragmentation Functions from recent BELLE data

Abstract

A new formalism for the factorization of the cross section for single hadron production in $e^{+}{e}^{-}$ annihilations, differential in $z_h$, $P_T$ and thrust, is applied to the phenomenological analysis of data recently measured by the BELLE Collaboration. Within this scheme the $e^{+}{e}^{-}\to hX$ cross section can be recast in the convolution of a perturbatively calculable coefficient and a universal transverse momentum dependent fragmentation function. While performing a next-to-leading order calculation of the perturbative part of the process to next-to-leading logarithmic accuracy, we examine and thoroughly discuss the suitability of a number of possible ansatz to model the non-perturbative part of this universal transverse momentum dependent fragmentation function, showing the extent to which present experimental data can actually constrain its shape and functional form in terms of $z_h$, $P_T$ and thrust.

arXiv comment19 pages, 14 figures, 6 tables

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Cited by in corpus (10)

• Flavor dependence of unpolarized quark Transverse Momentum Distributions from a global fit
• First simultaneous global QCD analysis of dihadron fragmentation functions and transversity parton distribution functions
• Tomography of pions and protons via transverse momentum dependent distributions
• Several Topics on Transverse Momentum-Dependent Fragmentation Functions
• Transverse $\Lambda$ polarization in $e^{+}{e}^{-}$ processes within a TMD factorization approach and the polarizing fragmentation function
• Matching generalised transverse-momentum-dependent distributions onto generalised parton distributions at one loop
• Inclusive and semi-inclusive production of spin-3/2 hadrons in $e^{+}{e}^{-}$ annihilation
• Transverse spin polarization as a novel probe of medium-induced transverse-momentum-broadening effect
• Deep Neural Network extraction of Unpolarized Transverse Momentum Distributions
• Kinematic regions in the $e^{+}{e}^{-}\to hX$ factorized cross section in a $2$-jet topology with thrust