Role of transverse momentum dependence of unpolarised parton distribution and fragmentation functions in the analysis of azimuthal spin asymmetries

Abstract

Information on the Sivers distribution and the Collins fragmentation functions and their transverse momentum dependence is mainly based on fitting single spin asymmetry data from semi-inclusive deep inelastic scattering (SIDIS). Independent information, respectively on the Sivers distribution and the Collins fragmentation, can be obtained from Drell-Yan and $e^{+}{e}^{-}$ annihilation processes. In the SIDIS case, the transverse momentum of the final observed hadron, which is the quantity measured, is generated both by the average transverse momentum in the distribution and in the fragmentation functions. As a consequence, these are strongly correlated and a separate extraction is made difficult. In this paper we investigate, in a simple kinematical Gaussian configuration, this correlation, its role on the transverse single spin asymmetries in SIDIS and the consequences for predictions of the Sivers asymmetry in Drell-Yan processes and for the Collins asymmetry in $e^{+}{e}^{-}$ annihilation. We find that, in some cases, these effects can be relevant and must be carefully taken into account.

21 pages, 9 figures (18 eps plots)

References in corpus (8)

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• Analysis of vector boson production within TMD factorization
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Cited by in corpus (10)

• Hunting BFKL in semi-hard reactions at the LHC
• Transverse spin effects in hard semi-inclusive collisions
• General helicity formalism for two-hadron production in $e^{+}{e}^{-}$ annihilation within a TMD approach
• Combining nonperturbative transverse momentum dependence with TMD evolution
• Transverse momentum dependent of charged pion, kaon and proton/antiproton fragmentation functions from $e^{+}{e}^{-}$ annihilation process
• First NNLO fragmentation functions of $K_S^0$ and $\Lambda /\bar{\Lambda }$ and their uncertainties in the presence of hadron mass corrections
• On the extraction of the valence transversity distributions from SIDIS data
• New study of the Boer-Mulders function: Implications for the quark and hadron transverse momenta
• Investigating the transverse momentum dependent gluon Sivers function in quarkonium production at $pp$ colliders
• Unpolarised TMD PDFs and FFs and the role of transverse momentum dependence in azimuthal spin asymmetries