Revisiting the top-quark pair production at future e + e − colliders* * Supported in part by the Natural Science Foundation of China (12175025, 12147102, 12265011), by the Projects of Guizhou Provincial Department (YQK[2023]016, ZK[2023]141, [2020]1Y027, GZMUZK[2022]PT01)
Jin Ma, Sheng-Quan Wang, Ting Sun, Jian-Ming Shen, Xing-Gang Wu
{"title":"Revisiting the top-quark pair production at future e + e − colliders* * Supported in part by the Natural Science Foundation of China (12175025, 12147102, 12265011), by the Projects of Guizhou Provincial Department (YQK[2023]016, ZK[2023]141, [2020]1Y027, GZMUZK[2022]PT01)","authors":"Jin Ma, Sheng-Quan Wang, Ting Sun, Jian-Ming Shen, Xing-Gang Wu","doi":"10.1088/1674-1137/ad243e","DOIUrl":null,"url":null,"abstract":"In this study, we reanalyze the top-quark pair production at next-to-next-to-leading order (NNLO) in quantum chromodynamics (QCD) at future <inline-formula>\n<tex-math><?CDATA $ e^+e^- $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_4_043105_M2.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> colliders using the Principle of Maximum Conformality (PMC) method. The PMC renormalization scales in <inline-formula>\n<tex-math><?CDATA $ \\alpha_s $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_4_043105_M3.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> are determined by absorbing the non-conformal <italic toggle=\"yes\">β</italic> terms by recursively using the Renormalization Group Equation (RGE). Unlike the conventional scale-setting method of fixing the scale at the center-of-mass energy <inline-formula>\n<tex-math><?CDATA $ \\mu_r=\\sqrt{s} $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_4_043105_M4.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>, the determined PMC scale <inline-formula>\n<tex-math><?CDATA $ Q_\\star $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_4_043105_M5.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> is far smaller than the <inline-formula>\n<tex-math><?CDATA $ \\sqrt{s} $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_4_043105_M6.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> and increases with the <inline-formula>\n<tex-math><?CDATA $ \\sqrt{s} $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_4_043105_M7.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>, yielding the correct physical behavior for the top-quark pair production process. Moreover, the convergence of the pQCD series for the top-quark pair production is greatly improved owing to the elimination of the renormalon divergence. For a typical collision energy of <inline-formula>\n<tex-math><?CDATA $ \\sqrt{s}=500 $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_4_043105_M8.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> GeV, the PMC scale is <inline-formula>\n<tex-math><?CDATA $ Q_\\star=107 $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_4_043105_M9.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> GeV; the QCD correction factor <italic toggle=\"yes\">K</italic> for conventional results is <inline-formula>\n<tex-math><?CDATA $ K\\sim1+0.1244^{+0.0102+0.0012}_{-0.0087-0.0011}+0.0184^{-0.0086+0.0002}_{+0.0061-0.0003} $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_4_043105_M10.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>, where the first error is caused by varying the scale <inline-formula>\n<tex-math><?CDATA $ \\mu_r\\in[\\sqrt{s}/2, 2\\sqrt{s}] $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_4_043105_M11.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> and the second error is from the top-quark mass <inline-formula>\n<tex-math><?CDATA $ \\Delta{m_t}=\\pm0.7 $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_4_043105_M12.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> GeV. After applying the PMC, the renormalization scale uncertainty is eliminated, and the QCD correction factor <italic toggle=\"yes\">K</italic> is improved to <inline-formula>\n<tex-math><?CDATA $ K\\sim 1+0.1507^{+0.0015}_{-0.0015}-0.0057^{+0.0001}_{-0.0000} $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_4_043105_M13.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>, where the error is from the top-quark mass <inline-formula>\n<tex-math><?CDATA $ \\Delta{m_t}=\\pm0.7 $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_4_043105_M14.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> GeV. The PMC improved predictions for the top-quark pair production are helpful for detailed studies of the properties of the top-quark at future <inline-formula>\n<tex-math><?CDATA $ e^+e^- $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_4_043105_M15.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> colliders.","PeriodicalId":10250,"journal":{"name":"中国物理C","volume":"40 1","pages":""},"PeriodicalIF":3.6000,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"中国物理C","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1088/1674-1137/ad243e","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, NUCLEAR","Score":null,"Total":0}
引用次数: 0
Abstract
In this study, we reanalyze the top-quark pair production at next-to-next-to-leading order (NNLO) in quantum chromodynamics (QCD) at future colliders using the Principle of Maximum Conformality (PMC) method. The PMC renormalization scales in are determined by absorbing the non-conformal β terms by recursively using the Renormalization Group Equation (RGE). Unlike the conventional scale-setting method of fixing the scale at the center-of-mass energy , the determined PMC scale is far smaller than the and increases with the , yielding the correct physical behavior for the top-quark pair production process. Moreover, the convergence of the pQCD series for the top-quark pair production is greatly improved owing to the elimination of the renormalon divergence. For a typical collision energy of GeV, the PMC scale is GeV; the QCD correction factor K for conventional results is , where the first error is caused by varying the scale and the second error is from the top-quark mass GeV. After applying the PMC, the renormalization scale uncertainty is eliminated, and the QCD correction factor K is improved to , where the error is from the top-quark mass GeV. The PMC improved predictions for the top-quark pair production are helpful for detailed studies of the properties of the top-quark at future colliders.
期刊介绍:
Chinese Physics C covers the latest developments and achievements in the theory, experiment and applications of:
Particle physics;
Nuclear physics;
Particle and nuclear astrophysics;
Cosmology;
Accelerator physics.
The journal publishes original research papers, letters and reviews. The Letters section covers short reports on the latest important scientific results, published as quickly as possible. Such breakthrough research articles are a high priority for publication.
The Editorial Board is composed of about fifty distinguished physicists, who are responsible for the review of submitted papers and who ensure the scientific quality of the journal.
The journal has been awarded the Chinese Academy of Sciences ‘Excellent Journal’ award multiple times, and is recognized as one of China''s top one hundred key scientific periodicals by the General Administration of News and Publications.