Global fitting of single spin asymmetry: an attempt

We present an attempt of global analysis of Semi-Inclusive Deep Inelastic Scattering (SIDIS) $\ell p^\uparrow \to \ell' πX$ data on single spin asymmetries and data on left-right asymmetry $A_N$ in $p^\uparrow p \to πX$ in order to simultaneously extract information on Sivers function and twist-three quark-gluon Efremov-Teryaev-Qiu-Sterman (ETQS) function. We explore different possibilities such as node of Sivers function in $x$ or $k_\perp$ in order to explain "sign mismatch" between these functions. We show that $π^\pm$ SIDIS data and $π^0$ STAR data can be well described in a combined TMD and twist-3 fit, however $π^\pm$ BRAHMS data are not described in a satisfactory way. This leaves open a question to the solution of the "sign mismatch". Possible explanations are then discussed.

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