We examine the effect of higher-order QCD corrections on the four top-quark production cross section in the 3 lepton decay channel. Top-quark and W gauge-boson decays are included at next-to-leading order in perturbative QCD. The narrow-width approximation, that preserves spin correlations, is used to perform the calculation for this complex 2 → 12 (13) process. We present differential cross-section distributions of top-quark decay products for the LHC Run III energy of <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_25681_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="30" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <msqrt> <mi>s</mi> </msqrt> </math></EquationSource> <EquationSource Format="TEX">$ \sqrt{s} $</EquationSource> </InlineEquation> = 13.6 TeV, using realistic selection cuts. Our results show that QCD corrections and jet radiation in top-quark and W decays can lead to significant changes in shapes of basic kinematic distributions and, therefore, need to be included for the accurate description of pp → <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_25681_Article_IEq2.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="29" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mi>t</mi> <mover accent="true"> <mi>t</mi> <mo stretchy="true">¯</mo> </mover> <mi>t</mi> <mover accent="true"> <mi>t</mi> <mo stretchy="true">¯</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">$ t\overline{t}t\overline{t} $</EquationSource> </InlineEquation> + X process in the 3ℓ decay channel. The NLO QCD results obtained in this work are important in the context of the recent observation of the pp → <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_25681_Article_IEq3.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="29" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mi>t</mi> <mover accent="true"> <mi>t</mi> <mo stretchy="true">¯</mo> </mover> <mi>t</mi> <mover accent="true"> <mi>t</mi> <mo stretchy="true">¯</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">$ t\overline{t}t\overline{t} $</EquationSource> </InlineEquation> + X process by the ATLAS and CMS collaborations and are of great significance for the High-Luminosity phase of the LHC.

Four top final states with NLO accuracy in perturbative QCD: 3 lepton channel

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2025年3月5日

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Nikolaos Dimitrakopoulos,
Malgorzata Worek

摘要

We examine the effect of higher-order QCD corrections on the four top-quark production cross section in the 3 lepton decay channel. Top-quark and W gauge-boson decays are included at next-to-leading order in perturbative QCD. The narrow-width approximation, that preserves spin correlations, is used to perform the calculation for this complex 2 → 12 (13) process. We present differential cross-section distributions of top-quark decay products for the LHC Run III energy of $\sqrt{s}$ $ \sqrt{s} $ = 13.6 TeV, using realistic selection cuts. Our results show that QCD corrections and jet radiation in top-quark and W decays can lead to significant changes in shapes of basic kinematic distributions and, therefore, need to be included for the accurate description of pp → $t \bar{t} t \bar{t}$ $ t\overline{t}t\overline{t} $ + X process in the 3ℓ decay channel. The NLO QCD results obtained in this work are important in the context of the recent observation of the pp → $t \bar{t} t \bar{t}$ $ t\overline{t}t\overline{t} $ + X process by the ATLAS and CMS collaborations and are of great significance for the High-Luminosity phase of the LHC.