Towards a model independent approach to fragmentation functions

Abstract

We show that the difference cross sections in unpolarized SIDIS e+N\to e+h+X and pp hadron production p+p\to h+X determine independently in a model independent way, in any order in QCD, the two FFs: D_u^{h-\bar h} and D_d^{h-\bar h}, h=π^\pm, K^\pm or a sum over charged hadrons. If both K^\pm and K_s^0 are measured, then e+e-\toK+X, e+N\to e+K+X and p+p\to K+X present independent measurements of just one FF: D_{u-d}^{K^++K^-}. The above results allow to test the existing parametrizations, obtained with various different assumptions about the FFs, and to test the $Q^2$ evolution and factorization.

10 pages and no figures, references added and there are some changes in the text and the abstract

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• Comments on Phys. Rev. D89 (2014) 097101 "Reevaluation of the parton distribution of strange quarks in the nucleon"
• The non-singlet kaon fragmentation function from e^+e^- kaon production
• Tests of the extraction of the Sivers, Boer-Mulders and transversity distributions in SIDIS reactions
• Medium-modified DGLAP evolution of fragmentation functions from large to small x
• The difference cross sections of unpolarized SIDIS with transverse momentum dependence
• Problems with the perturbative QCD interpretation of HERMES data on semi-inclusive lepto-production of pions
• Tests for Sivers, Boer-Mulders and transversity distributions in difference cross sections in SIDIS
• An extended model for nonet pseudo-scalar meson fragmentation