Subtraction of the t t ¯ $$ t\overline{t} $$ contribution in tW b ¯ $$ tW\overline{b} $$ production at the one-loop level

Abstract The tW b ¯ $$ tW\overline{b} $$ production contributes to the real corrections to the tW cross section. It would interfere with the top quark pair production, causing difficulties in a clear definition of the tW b ¯ $$ tW\overline{b} $$ events. The subtraction of the t t ¯ $$ t\overline{t}...

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Main Authors: Liang Dong, Hai Tao Li, Zheng-Yu Li, Jian Wang
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP01(2025)158
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author Liang Dong
Hai Tao Li
Zheng-Yu Li
Jian Wang
author_facet Liang Dong
Hai Tao Li
Zheng-Yu Li
Jian Wang
author_sort Liang Dong
collection DOAJ
description Abstract The tW b ¯ $$ tW\overline{b} $$ production contributes to the real corrections to the tW cross section. It would interfere with the top quark pair production, causing difficulties in a clear definition of the tW b ¯ $$ tW\overline{b} $$ events. The subtraction of the t t ¯ $$ t\overline{t} $$ contributions has been performed in the diagram removal or diagram subtraction schemes for the tree-level processes. However, these schemes rely on the ability to identify the double resonant diagrams and thus can not be extended to loop diagrams. We propose a new scheme to subtract the t t ¯ $$ t\overline{t} $$ contributions by power expansion of the squared amplitude in the resonant region. In order to cancel the infra-red divergences of the loop amplitudes, a widely used method is to introduce the dipole counter-terms, an ingredient in calculations of the full next-to-leading order QCD corrections. In our scheme, these counter-terms are also power-expanded. As a proof of principle, we calculate the one-loop correction to the d d ¯ $$ d\overline{d} $$ → b ¯ Wt $$ \overline{b} Wt $$ process, and present the invariant mass distribution of the W b ¯ $$ W\overline{b} $$ system.
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spelling doaj-art-1231cfa18c7d4ffc9a448ff32f2b67412025-02-09T12:08:09ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025112010.1007/JHEP01(2025)158Subtraction of the t t ¯ $$ t\overline{t} $$ contribution in tW b ¯ $$ tW\overline{b} $$ production at the one-loop levelLiang Dong0Hai Tao Li1Zheng-Yu Li2Jian Wang3School of Physics, Shandong UniversitySchool of Physics, Shandong UniversitySchool of Physics, Shandong UniversitySchool of Physics, Shandong UniversityAbstract The tW b ¯ $$ tW\overline{b} $$ production contributes to the real corrections to the tW cross section. It would interfere with the top quark pair production, causing difficulties in a clear definition of the tW b ¯ $$ tW\overline{b} $$ events. The subtraction of the t t ¯ $$ t\overline{t} $$ contributions has been performed in the diagram removal or diagram subtraction schemes for the tree-level processes. However, these schemes rely on the ability to identify the double resonant diagrams and thus can not be extended to loop diagrams. We propose a new scheme to subtract the t t ¯ $$ t\overline{t} $$ contributions by power expansion of the squared amplitude in the resonant region. In order to cancel the infra-red divergences of the loop amplitudes, a widely used method is to introduce the dipole counter-terms, an ingredient in calculations of the full next-to-leading order QCD corrections. In our scheme, these counter-terms are also power-expanded. As a proof of principle, we calculate the one-loop correction to the d d ¯ $$ d\overline{d} $$ → b ¯ Wt $$ \overline{b} Wt $$ process, and present the invariant mass distribution of the W b ¯ $$ W\overline{b} $$ system.https://doi.org/10.1007/JHEP01(2025)158Higher-Order Perturbative CalculationsTop Quark
spellingShingle Liang Dong
Hai Tao Li
Zheng-Yu Li
Jian Wang
Subtraction of the t t ¯ $$ t\overline{t} $$ contribution in tW b ¯ $$ tW\overline{b} $$ production at the one-loop level
Journal of High Energy Physics
Higher-Order Perturbative Calculations
Top Quark
title Subtraction of the t t ¯ $$ t\overline{t} $$ contribution in tW b ¯ $$ tW\overline{b} $$ production at the one-loop level
title_full Subtraction of the t t ¯ $$ t\overline{t} $$ contribution in tW b ¯ $$ tW\overline{b} $$ production at the one-loop level
title_fullStr Subtraction of the t t ¯ $$ t\overline{t} $$ contribution in tW b ¯ $$ tW\overline{b} $$ production at the one-loop level
title_full_unstemmed Subtraction of the t t ¯ $$ t\overline{t} $$ contribution in tW b ¯ $$ tW\overline{b} $$ production at the one-loop level
title_short Subtraction of the t t ¯ $$ t\overline{t} $$ contribution in tW b ¯ $$ tW\overline{b} $$ production at the one-loop level
title_sort subtraction of the t t ¯ t overline t contribution in tw b ¯ tw overline b production at the one loop level
topic Higher-Order Perturbative Calculations
Top Quark
url https://doi.org/10.1007/JHEP01(2025)158
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