Soft gluon corrections to double transverse-spin asymmetries for small-$Q_T$ dilepton production at RHIC and J-PARC

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dc.creatorKawamura, Hiroyuki
dc.creatorKodaira, Jiro
dc.creatorTanaka, Kazuhiro
dc.date2007-03-07
dc.date2007-05-18
dc.date.accessioned2026-07-07T11:59:12Z
dc.date.available2026-07-07T11:59:12Z
dc.descriptionWe calculate the double transverse-spin asymmetries, $\aqt$, in transversely polarized Drell-Yan process at the transverse-momentum $Q_T$ of the produced lepton pair. We perform all-order resummation of the logarithmically enhanced contributions in the relevant Drell-Yan cross sections at small $Q_T$, which are due to multiple soft gluon emission in QCD, up to the next-to-leading logarithmic accuracy. The asymmetries $\aqt$ to be observed in polarized experiments at RHIC and J-PARC are studied numerically as a function of $Q_T$. We show that the effects of the soft gluon resummation to the polarized and unpolarized cross sections largely cancel in $\aqt$, but the significant corrections still remain and are crucial for making a reliable QCD prediction of $\aqt$. In particular, the soft gluon corrections enhance $\aqt$ considerably in the small $Q_T$ region compared with the asymmetry in the fixed-order $α_s$ perturbation theory. We also derive a novel asymptotic formula which embodies those remarkable features of $\aqt$ at small $Q_T$ in a compact analytic form and is useful to extract the transversity $δq(x)$ from the experimental data.
dc.description26 pages, 12 figures, typos corrected, references added, version to appear in Nucl. Phys. B
dc.identifierhttps://arxiv.org/abs/hep-ph/0703079
dc.identifierhttp://arxiv.org/abs/hep-ph/0703079
dc.identifierNucl.Phys.B777:203-225,2007
dc.identifierdoi:10.1016/j.nuclphysb.2007.04.022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206479
dc.subjectHigh Energy Physics - Phenomenology
dc.titleSoft gluon corrections to double transverse-spin asymmetries for small-$Q_T$ dilepton production at RHIC and J-PARC
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