Abstract
We study single spin asymmetries at one-loop accuracy in semi-inclusive DIS with a transversely polarized hadron in the initial state. Two measurable spin observables are predicted in the framework of QCD collinear factorization. One of the spin observables is the Sivers weighted asymmetry, another one is the Collins weighted asymmetry. The prediction takes a form of convolutions of perturbative coefficient functions and nonperturbative functions, which are twist-2 transversity distributions, twist-3 parton distributions, twist-2- and twist-3 parton fragmentation functions. These nonperturbative functions can be extracted from measurements of the spin observables and provide valuable information of the inner structure of hadrons. The measurements can be done in current COMPASS- and JLab experiments and in future experiments of EIC. The perturbative coefficient functions are calculated at one-loop level. There are collinear divergences in the calculation involving chirality-even- and chirality-odd twist operators. We find that all collinear divergences can be correctly subtracted so that the final results are finite.
Highlights
Experiments of lepton-hadron scattering have provided important information about the inner structure of hadrons
Where the last term with the subindex F in the result of our two observables is the sum of all finite contributions from sets of diagrams studied in previous sections
In this work we have studied two spin observables of semi-inclusive DIS (SIDIS) in which the initial hadron is transversely polarized
Summary
Experiments of lepton-hadron scattering have provided important information about the inner structure of hadrons. In semi-inclusive DIS (SIDIS) with one detected hadron in the final state, one can learn more about the inner structure and nonperturbative properties of QCD if the initial hadron is transversely polarized In this case, the spin-dependent part of the differential cross section, or single spin asymmetries (SSAs), can be predicted with parton distributions defined with twist-3 operators as shown in [1,2], and twist-3 fragmentation functions (FFs). For Drell-Yan processes with one transversely polarized hadron in the initial state, one-loop correction of a spin observable involving the twist-3 parton distributions has been calculated at one loop in [21]. The contributions to Wμν involving h1 will always be combined with chirality-odd FFs. At twist-3 there are two transverse-spin-dependent parton distributions defined with quark-gluon-quark correlations.
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