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<p>Jet observables at hadron colliders feature “super-leading” logarithms, double-logarithmic corrections resulting from a breakdown of color coherence due to complex phases in hard-scattering amplitudes. While these effects only arise in high orders of perturbation theory and are suppressed in the large-<i>N</i><sub><i>c</i></sub> limit, they formally constitute leading logarithmic corrections to the cross sections. We present the first analysis of the corresponding contributions to a hadronic cross section, including all partonic channels and interference effects. Interestingly, some interference terms in partonic <InlineEquation ID="IEq1"> <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> → <InlineEquation ID="IEq2"> <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> scattering are only linearly suppressed in 1<i>/N</i><sub><i>c</i></sub>. Our results for the <i>pp</i> → 2 jets gap-between-jets cross section demonstrate the numerical importance of super-leading logarithms for small values of the veto scale <i>Q</i><sub>0</sub>, showing that these contributions should be accounted for in precision studies of such observables.</p>

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Super-leading logarithms in pp → 2 jets

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年1月29日

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  • Thomas Becher,
  • Patrick Hager,
  • Giuliano Martinelli,
  • Matthias Neubert,
  • Dominik Schwienbacher,
  • Michel Stillger

摘要

Jet observables at hadron colliders feature “super-leading” logarithms, double-logarithmic corrections resulting from a breakdown of color coherence due to complex phases in hard-scattering amplitudes. While these effects only arise in high orders of perturbation theory and are suppressed in the large-Nc limit, they formally constitute leading logarithmic corrections to the cross sections. We present the first analysis of the corresponding contributions to a hadronic cross section, including all partonic channels and interference effects. Interestingly, some interference terms in partonic q q ¯ \( q\overline{q} \) → q q ¯ \( q\overline{q} \) scattering are only linearly suppressed in 1/Nc. Our results for the pp → 2 jets gap-between-jets cross section demonstrate the numerical importance of super-leading logarithms for small values of the veto scale Q0, showing that these contributions should be accounted for in precision studies of such observables.