<p>We renormalize the soft function entering the factorization and resummation of the <i>qg</i> parton-scattering channel of the Drell-Yan process near the kinematic threshold <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26142_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mover accent="true"> <mi>s</mi> <mo stretchy="true">̂</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">\( \hat{s} \)</EquationSource> </InlineEquation> → <i>Q</i><sup>2</sup> at next-to-leading power in the expansion around <i>z</i> ≡ <i>Q</i><sup>2</sup>/<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26142_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mover accent="true"> <mi>s</mi> <mo stretchy="true">̂</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">\( \hat{s} \)</EquationSource> </InlineEquation> = 1, and solve its renormalization-group equation.</p>

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Renormalization of the next-to-leading-power soft function for the Drell-Yan off-diagonal channel

  • Martin Beneke,
  • Yao Ji,
  • Erik Sünderhauf,
  • Xing Wang

摘要

We renormalize the soft function entering the factorization and resummation of the qg parton-scattering channel of the Drell-Yan process near the kinematic threshold s ̂ \( \hat{s} \) Q2 at next-to-leading power in the expansion around zQ2/ s ̂ \( \hat{s} \) = 1, and solve its renormalization-group equation.