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<p>Large double-logarithmic corrections are induced by soft gluon emissions near threshold in the semi-inclusive <i>e</i><sup>+</sup><i>e</i><sup>−</sup> annihilation (SIA) distributions, and must be resummed to all-orders in perturbation theory for reliable theoretical predictions. Building on strategy developed for threshold resummation for DIS structure function in momentum space using soft-collinear effective theory (SCET), we present the explicit formalism for SIA cross section. We then perform the resummation directly in momentum space for <i>γ</i><sup>∗</sup> → <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26492_Article_IEq1.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mi>q</mi> <mover accent="true"> <mi>q</mi> <mo stretchy="true">¯</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">\( q\overline{q} \)</EquationSource> </InlineEquation>, <i>H</i> → <i>gg</i> and <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26492_Article_IEq2.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="61" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mi>H</mi> <mo>→</mo> <mi>b</mi> <mover accent="true"> <mi>b</mi> <mo stretchy="true">¯</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">\( H\to b\overline{b} \)</EquationSource> </InlineEquation> to N<sup>4</sup>LL accuracy and demonstrate good convergence. We anticipate that these results will benefit the extraction of the light-quark, the heavy-quark as well as the gluon fragmentation functions.</p>

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Threshold resummation for semi-inclusive single-hadron production with effective field theory

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  • 发表日期：

    2025年6月18日

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  • Zhen Xu,
  • Hua Xing Zhu

摘要

Large double-logarithmic corrections are induced by soft gluon emissions near threshold in the semi-inclusive e+e− annihilation (SIA) distributions, and must be resummed to all-orders in perturbation theory for reliable theoretical predictions. Building on strategy developed for threshold resummation for DIS structure function in momentum space using soft-collinear effective theory (SCET), we present the explicit formalism for SIA cross section. We then perform the resummation directly in momentum space for γ∗ → q q ¯ \( q\overline{q} \) , H → gg and H → b b ¯ \( H\to b\overline{b} \) to N4LL accuracy and demonstrate good convergence. We anticipate that these results will benefit the extraction of the light-quark, the heavy-quark as well as the gluon fragmentation functions.