Factorization of $e^{+}{e}^{-}\to HX$ cross section, differential in $z_h$, $P_T$ and thrust, in the $2$-jet limit

Abstract

Factorizing the cross section for single hadron production in $e^{+}{e}^{-}$ annihilations is a highly non trivial task when the transverse momentum of the outgoing hadron with respect to the thrust axis is taken into account. We work in a scheme that allows to factorize the $e^{+}{e}^{-}\to HX$ cross section as a convolution of a calculable hard coefficient and a Transverse Momentum Dependent (TMD) fragmentation function. The result, differential in $z_h$, $P_T$ and thrust, will be given to all orders in perturbation theory and explicitly computed to Next to Leading Order (NLO) and Next to Leading Log (NLL) accuracy. The predictions obtained from our computation, applying the simplest and most natural ansatz to model the non-perturbative part of the TMD, are in exceptional agreement with the experimental measurements of the BELLE Collaboration. The factorization scheme we propose relates the TMD parton densities defined in 1-hadron and 2-hadron processes, restoring the possibility to perform global phenomenological studies of TMD physics including experimental data from semi-inclusive deep inelastic scattering, Drell-Yan processes, $e^{+}{e}^{-}\to H_1{H}_{2}X$ and $e^{+}{e}^{-}\to HX$ annihilations.

arXiv comment59 pages, 8 figures

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Cited by in corpus (10)

• TMD Fragmentation Functions at N${}^3$LO
• General helicity formalism for two-hadron production in $e^{+}{e}^{-}$ annihilation within a TMD approach
• Transverse Momentum Dependent Fragmentation Functions from recent BELLE data
• Several Topics on Transverse Momentum-Dependent Fragmentation Functions
• Combining nonperturbative transverse momentum dependence with TMD evolution
• Transverse $\Lambda$ polarization in $e^{+}{e}^{-}$ processes within a TMD factorization approach and the polarizing fragmentation function
• Inclusive and semi-inclusive production of spin-3/2 hadrons in $e^{+}{e}^{-}$ annihilation
• Spin correlations and Bell nonlocality in $\Lambda \bar{\Lambda }$ pair production from $e^{+}{e}^{-}$ collisions with a thrust cut
• ECCE unpolarized TMD measurements
• Kinematic regions in the $e^{+}{e}^{-}\to hX$ factorized cross section in a $2$-jet topology with thrust