<p>Efficient generation of LHC events is hindered by the rapidly rising cost of evaluating QCD matrix elements with increasing multiplicity. We build on a recently proposed two-step strategy in which unweighted events are first generated using the leading-colour (LC) approximation and then reweighted to full-colour (FC) accuracy, utilising the LC integration efficiency while recovering the exact FC prediction. In this work we extend the method to general Standard Model processes and present A<span>mpli</span>C<span>ol</span>, a standalone implementation designed for LHC collisions. We benchmark multi-jet, <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <mi>t</mi> <mover accent="true"> <mi>t</mi> <mo stretchy="true">¯</mo> </mover> <mo>+</mo> <mtext>jets</mtext> </math></EquationSource> <EquationSource Format="TEX">\( t\overline{t}+\textrm{jets} \)</EquationSource> </InlineEquation>, <i>ZZ</i>+jets, and Drell-Yan+jets production, measuring the time required to obtain a fixed number of unweighted events at FC accuracy. Across all processes, the runtime exhibits a stable exponential scaling with multiplicity, far milder than the factorial growth of conventional matrix-element generators. This demonstrates that the A<span>mpli</span>C<span>ol</span> code enables efficient event generation at multiplicities that are otherwise computationally prohibitive.</p>

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Event generation with exponential scaling in multiplicity using AmpliCol

  • Rikkert Frederix,
  • Timea Vitos

摘要

Efficient generation of LHC events is hindered by the rapidly rising cost of evaluating QCD matrix elements with increasing multiplicity. We build on a recently proposed two-step strategy in which unweighted events are first generated using the leading-colour (LC) approximation and then reweighted to full-colour (FC) accuracy, utilising the LC integration efficiency while recovering the exact FC prediction. In this work we extend the method to general Standard Model processes and present AmpliCol, a standalone implementation designed for LHC collisions. We benchmark multi-jet, t t ¯ + jets \( t\overline{t}+\textrm{jets} \) , ZZ+jets, and Drell-Yan+jets production, measuring the time required to obtain a fixed number of unweighted events at FC accuracy. Across all processes, the runtime exhibits a stable exponential scaling with multiplicity, far milder than the factorial growth of conventional matrix-element generators. This demonstrates that the AmpliCol code enables efficient event generation at multiplicities that are otherwise computationally prohibitive.