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<p>We compute the primary Lund plane density for jets initiated by a massive (<i>b</i>) quark to single logarithmic accuracy in Quantum Chromodynamics (QCD). In order to capture mass effects, we consider quasi-collinear factorisation and we include contributions from the running of the QCD coupling and from collinear evolution, in a variable flavour-number scheme. Furthermore, the resummation of soft logarithms, including clustering effects, is performed numerically, keeping the full dependence on the <i>b</i>-quark mass. While our all-order results can be applied to both hadron and lepton colliders, we present, as first phenomenological application, the resummed calculation of the Lund plane density in <i>e</i><sup>+</sup><i>e</i><sup>−</sup> collisions at <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <msqrt> <mi>s</mi> </msqrt> </math></EquationSource> <EquationSource Format="TEX">\( \sqrt{s} \)</EquationSource> </InlineEquation> = <i>M</i><sub><i>Z</i></sub>, matched to tree-level matrix elements.</p>

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The Lund b-jet plane

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年5月21日

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  • Andrea Ghira,
  • Simone Marzani,
  • Gregory Soyez

摘要

We compute the primary Lund plane density for jets initiated by a massive (b) quark to single logarithmic accuracy in Quantum Chromodynamics (QCD). In order to capture mass effects, we consider quasi-collinear factorisation and we include contributions from the running of the QCD coupling and from collinear evolution, in a variable flavour-number scheme. Furthermore, the resummation of soft logarithms, including clustering effects, is performed numerically, keeping the full dependence on the b-quark mass. While our all-order results can be applied to both hadron and lepton colliders, we present, as first phenomenological application, the resummed calculation of the Lund plane density in e+e− collisions at s \( \sqrt{s} \) = MZ, matched to tree-level matrix elements.