Abstract
We present next-to-leading order predictions for double transverse-spin asymmetries in Drell--Yan dilepton production initiated by proton--antiproton scattering. The kinematic region of the proposed PAX experiment at GSI: $30\lesssim{s}\lesssim200\GeV^2$ and $2\lesssim{M}\lesssim7\GeV$ is examined. The Drell--Yan asymmetries turn out to be large, in the range 20--40%. Measuring these asymmetries would provide the cleanest determination of the quark transversity distributions.
Highlights
The possible availability of transversely polarised antiprotons opens the way to direct investigation of transversity, which is currently one of the main goals of highenergy spin physics [2]
Where M is the invariant mass of the lepton pair, q(x, M2) is the unpolarised distribution function, and aT T is the spin asymmetry of the QED elementary process qq → + −
Barone et al / Physics Letters B 639 (2006) 483–487 where φ is the angle between the dilepton direction and the plane defined by the collision and polarisation axes
Summary
The PAX Collaboration has proposed the study of p↑p↑ Drell–Yan production in the High-Energy Storage Ring (HESR) at GSI, in the kinematic region 30 s 200 GeV2, 2 M 10 GeV and x1x2 0.1 [15]. We shall see that the NLO corrections are rather small and double transverse-spin asymmetries are confirmed to be of order 20–40%.
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