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<p>We study one-loop QCD corrections to the single transverse spin asymmetry in Drell-Yan process. The invariant mass of virtual photon and angular distributions of final lepton in Collins-Soper frame are measured. Especially, the transverse momentum of virtual photon is integrated out. Collinear twist-3 factorization formalism is adopted for the asymmetry. We use Feynman gauge in this work. To eliminate dependent twist-3 distribution functions, equation of motion for quark is used. The results satisfy both QED and QCD gauge invariance. It is confirmed that all divergences from virtual and real corrections can be removed consistently by collinear subtraction. Finite hard coefficients for the convolution of <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <mover accent="true"> <mi>q</mi> <mo stretchy="true">¯</mo> </mover> <mfenced close=")" open="("> <mi>x</mi> </mfenced> </math></EquationSource> <EquationSource Format="TEX">\( \overline{q}(x) \)</EquationSource> </InlineEquation> and <i>T</i><sub><i>F</i></sub> (<i>x</i><sub>1</sub>, <i>x</i><sub>2</sub>) are presented.</p>

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One-loop QCD corrections to SSA in unweighted Drell-Yan processes

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年3月27日

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  • Guang-Peng Zhang

摘要

We study one-loop QCD corrections to the single transverse spin asymmetry in Drell-Yan process. The invariant mass of virtual photon and angular distributions of final lepton in Collins-Soper frame are measured. Especially, the transverse momentum of virtual photon is integrated out. Collinear twist-3 factorization formalism is adopted for the asymmetry. We use Feynman gauge in this work. To eliminate dependent twist-3 distribution functions, equation of motion for quark is used. The results satisfy both QED and QCD gauge invariance. It is confirmed that all divergences from virtual and real corrections can be removed consistently by collinear subtraction. Finite hard coefficients for the convolution of q ¯ x \( \overline{q}(x) \) and TF (x1, x2) are presented.