Abstract
We study the single spin asymmetry in the back-to-back dijet production in transversely polarized proton-proton collisions. Such an asymmetry is generated by the Sivers functions in the incoming polarized proton. We propose a QCD formalism in terms of the transverse momentum dependent parton distribution functions, which allow us to resum the large logarithms that arise in the perturbative calculations. We make predictions for the Sivers asymmetry of hadronic dijet production at the kinematic region that is relevant to the experiment at the Relativistic Heavy Ion Collider (RHIC). We further compute the spin asymmetries in the selected positive and negative jet charge bins, to separate the contributions from u- and d-quark Sivers functions. We find that both the sign and size of our numerical results are roughly consistent with the preliminary results from the STAR collaboration at the RHIC.
Highlights
QCD formalism for dijet productionWe study back-to-back dijet production in transversely polarized protonproton collisions in the center-of mass frame, p(PA, S⊥) + p(PB) → J1(yc, P1⊥) + J2(yd, P2⊥) + X ,
Introduced by Sivers in 1990s [4, 5] to describe the large single transverse spin asymmetries observed in single inclusive particle production in hadronic collisions, see e.g. [6, 7]
We study the single spin asymmetry in the back-to-back dijet production in transversely polarized proton-proton collisions
Summary
We study back-to-back dijet production in transversely polarized protonproton collisions in the center-of mass frame, p(PA, S⊥) + p(PB) → J1(yc, P1⊥) + J2(yd, P2⊥) + X ,. In the transversely polarized proton-proton collisions, the transverse spin vector S⊥ of the incoming proton and the transverse momentum imbalance q⊥ of the two jets will be correlated, as advocated in [42]. This correlation is accounted for in the Sivers function, which leads to a sin(φq − φS)-azimuthal modulation in the cross section between φq and φS, the azimuthal angles of q⊥ and S⊥, respectively. Summarize the factorized formalisms for dijet production in both unpolarized and polarized proton-proton collisions, and we provide more details for the relevant ingredients
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