\begin{document}$ \gamma_m $\end{document}-function. These new degeneracy relations enable improved PMC scale-setting procedures for correct magnitudes of the strong coupling constant and \begin{document}$ \overline{{\rm{MS}}} $\end{document}-running quark mass to be determined simultaneously. By using these improved PMC scale-setting procedures, the renormalization scale dependence of the \begin{document}$ \overline{{\rm{MS}}} $\end{document}-on-shell quark mass relation can be eliminated systematically. Consequently, the top-quark on-shell (or \begin{document}$ \overline{{\rm{MS}}} $\end{document}) mass can be determined without conventional renormalization scale ambiguity. Taking the top-quark \begin{document}$ \overline{{\rm{MS}}} $\end{document} mass \begin{document}$ {\overline m}_t({\overline m}_t)=162.5^{+2.1}_{-1.5} $\end{document} GeV as the input, we obtain \begin{document}$ M_t\simeq 172.41^{+2.21}_{-1.57} $\end{document} GeV. Here, the uncertainties arise from errors combined with those from \begin{document}$ \Delta \alpha_s(M_Z) $\end{document} and the approximate uncertainty resulting from the uncalculated five-loop terms predicted through the Padé approximation approach."> Precise determination of the top-quark on-shell mass <inline-formula><tex-math id="M1">\begin{document}${\boldsymbol M_t}$\end{document}</tex-math><alternatives><graphic specific-use="online" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/923d7e7d-b1fe-4410-9d7c-c36f251db93d/CPC-2024-0042_M1.jpg"/><graphic specific-use="print" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/923d7e7d-b1fe-4410-9d7c-c36f251db93d/CPC-2024-0042_M1.png"/></alternatives></inline-formula> via its scale- invariant perturbative relation to the top-quark <inline-formula><tex-math id="M2">\begin{document}${\overline{\bf MS}}$\end{document}</tex-math><alternatives><graphic specific-use="online" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/923d7e7d-b1fe-4410-9d7c-c36f251db93d/CPC-2024-0042_M2.jpg"/><graphic specific-use="print" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/923d7e7d-b1fe-4410-9d7c-c36f251db93d/CPC-2024-0042_M2.png"/></alternatives></inline-formula> mass <inline-formula><tex-math id="M3">\begin{document}${{\overline {\boldsymbol m}}_{\boldsymbol t}({\overline {\boldsymbol m}}_{\boldsymbol t})}$\end{document}</tex-math><alternatives><graphic specific-use="online" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/923d7e7d-b1fe-4410-9d7c-c36f251db93d/CPC-2024-0042_M3.jpg"/><graphic specific-use="print" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/923d7e7d-b1fe-4410-9d7c-c36f251db93d/CPC-2024-0042_M3.png"/></alternatives></inline-formula> -
  • [1]

    M. Aaboud,et al. (ATLAS), Phys. Lett. B761, 350 (2016)

  • [2]

    M. Aaboudet al. (ATLAS), JHEP09, 118 (2017)

  • [3]

    M. Aaboudet al. (ATLAS), Eur. Phys. J. C79, 290 (2019)

  • [4]

    V. Khachatryanet al. (CMS), Phys. Rev. D93, 072004 (2016)

  • [5]

    A. M. Sirunyanet al. (CMS), Phys. Rev. D96, 032002 (2017)

  • [6]

    A. M. Sirunyanet al. (CMS), Eur. Phys. J. C78, 891 (2018)

  • [7]

    A. M. Sirunyanet al. (CMS), Eur. Phys. J. C79, 313 (2019)

  • [8]

    A. Tumasyanet al. (CMS), JHEP12, 161 (2021)

  • [9]

    A. Tumasyanet al. (CMS), JHEP07, 077 (2023)

  • [10]

    G. Aadet al. (ATLAS), JHEP11, 150 (2019)

  • [11]

    A. M. Sirunyanet al. (CMS), Eur. Phys. J. C80, 658 (2020)

  • [12]

    M. Aaboudet al. (ATLAS), Eur. Phys. J. C77, 804 (2017)

  • [13]

    G. Aadet al. (ATLAS), JHEP10, 121 (2015)

  • [14]

    A. M. Sirunyanet al. (CMS), Phys. Rev. Lett.124, 202001 (2020)

  • [15]

    A. M. Sirunyanet al. (CMS), Eur. Phys. J. C77, 354 (2017)

  • [16]

    V. M. Abazovet al. (D0), Phys. Rev. D94, 092004 (2016)

  • [17]

    V. M. Abazovet al. (D0), Phys. Lett. B703, 422 (2011)

  • [18]

    A. Buckleyet al., Phys. Rep.504, 145 (2011)

  • [19]

    P. Z. Skands and D. Wicke, Eur. Phys. J. C52, 133 (2007)

  • [20]

    S. Kawabata, Y. Shimizu, Y. Suminoet al., Phys. Lett. B741, 232 (2015)

  • [21]

    J. Kieseler, K. Lipka, and S. O. Moch, Phys. Rev. Lett.116, 162001 (2016)

  • [22]

    B. Dehnadi, A. H. Hoang, V. Mateuet al., Proc. Sci.RADCOR2017, 062 (2018)

  • [23]

    A. H. Hoang, Ann. Rev. Nucl. Part. Sci.70, 225 (2020)

  • [24]

    S. Fleming, A. H. Hoang, S. Mantryet al., Phys. Rev. D77, 074010 (2008)

  • [25]

    V. Khachatryanet al. (CMS), J. High Energy Phys.08, 029 (2016)

  • [26]

    S. Ferrario Ravasio, T. Ježo, P. Nason, and C. Oleari, Eur. Phys. J. C78, 458 (2018)

  • [27]

    M. Butenschoen, B. Dehnadi, A. H. Hoanget al., Phys. Rev. Lett.117, 232001 (2016)

  • [28]

    ATLAS, CDF, CMS and D0),First combination of Tevatron and LHC measurements of the top-quark mass, arXiv: 1403.4427 [hep-ex]

  • [29]

    S. Moch, S. Weinzierl, S. Alekhinet al.High precision fundamental constants at the TeV scale, arXiv: 1405.4781 [hep-ph]

  • [30]

    A. Juste, S. Mantry, A. Mitovet al., Eur. Phys. J. C74, 3119 (2014)

  • [31]

    A. H. Hoang,The Top Mass: Interpretation and Theoretical Uncertainties, arXiv: 1412.3649 [hep-ph]

  • [32]

    A. M. Sirunyanet al. (CMS), Eur. Phys. J. C79, 368 (2019)

  • [33]

    R. Hempfling and B. A. Kniehl, Phys. Rev. D51, 1386 (1995)

  • [34]

    K. G. Chetyrkin and M. Steinhauser, Phys. Rev. Lett.83, 4001 (1999)

  • [35]

    F. Jegerlehner and M. Y. Kalmykov, Nucl. Phys.B676, 365 (2004)

  • [36]

    S. P. Martin, Phys. Rev. D72, 096008 (2005)

  • [37]

    A. B. Galtieri, F. Margaroli, and I. Volobouev, Rept. Prog. Phys.75, 056201 (2012)

  • [38]

    S. P. Martin, Phys. Rev. D93, 094017 (2016)

  • [39]

    P. Nason, Proc. Sci.TOP2015, 056 (2016)

  • [40]

    M. Beneke, P. Marquard, P. Nasonet al., Phys. Lett. B775, 63 (2017)

  • [41]

    G. Bevilacqua, H. B. Hartanto, M. Krauset al., JHEP03, 169 (2018)

  • [42]

    S. Q. Wang, X. G. Wu, Z. G. Siet al., Eur. Phys. J. C78, 237 (2018)

  • [43]

    P. Marquard, A. V. Smirnov, V. A. Smirnovet al., PoSRADCOR2017, 029 (2018)

  • [44]

    C. Ayala, X. Lobregat, and A. Pineda, Phys. Rev. D101, 034002 (2020)

  • [45]

    W. L. Ju, G. Wang, X. Wanget al., JHEP06, 158 (2020)

  • [46]

    S. Q. Wang, X. G. Wu, J. M. Shenet al., Chin. Phys. C45, 113102 (2021)

  • [47]

    M. V. Garzelli, J. Mazzitelli, S. O. Mochet al.,Top-quark pole mass extraction at NNLO accuracy, from total, single- and double-differential cross sections for \begin{document}$t\bar{t}+X$\end{document} production at the LHC, arXiv: 2311.05509 [hep-ph]

  • [48]

    T. Cridge and M. A. Lim, Eur. Phys. J. C83, 805 (2023)

  • [49]

    A. M. Cooper-Sarkar, M. Czakon, M. A. Limet al.,Simultaneous extraction of \begin{document}$\alpha_s$\end{document} and \begin{document}$m_t$\end{document} from LHC \begin{document}$t\bar{t}$\end{document} differential distributions, arXiv: 2010.04171 [hep-ph]

  • [50]

    M. S. Gao, S. R. Yuan, and J. Gao, JHEP04, 054 (2021)

  • [51]

    M. Beneke, Eur. Phys. J. ST230, 2565 (2021)

  • [52]

    S. Alioli, J. Fuster, M. V. Garzelliet al.,Top-quark mass extraction from \begin{document}$t\bar{t}j +X$\end{document} events at the LHC: theory predictions, arXiv: 2203.07344 [hep-ph]

  • [53]

    R. Tarrach, Nucl. Phys.B183, 384 (1981)

  • [54]

    N. Gray, D. J. Broadhurst, W. Grafeet al., Z. Phys. C48, 673 (1990)

  • [55]

    K. G. Chetyrkin and M. Steinhauser, Nucl. Phys. B573, 617 (2000)

  • [56]

    K. Melnikov and T. V. Ritbergen, Phys. Lett. B482, 99 (2000)

  • [57]

    F. Jegerlehner, M. Y. Kalmykov, and O. Veretin, Nucl. Phys.B658, 49 (2003)

  • [58]

    F. Jegerlehner and M. Y. Kalmykov, Acta Phys. Polon. B34, 5335 (2003)

  • [59]

    M. Faisst, J. H. Kuhn, and O. Veretin, Phys. Lett. B589, 35 (2004)

  • [60]

    P. Marquard, L. Mihaila, J. H. Piclumet al., Nucl. Phys. B773, 1 (2007)

  • [61]

    P. Marquard, A. V. Smirnov, V. A. Smirnovet al., Phys. Rev. Lett.114, 142002 (2015)

  • [62]

    P. Marquard, A. V. Smirnov, V. A. Smirnovet al., Phys. Rev. D94, 074025 (2016)

  • [63]

    A. L. Kataev and V. S. Molokoedov, JETP Lett.108, 777 (2018)

  • [64]

    A. L. Kataev and V. S. Molokoedov, Theor. Math. Phys.200, 1374 (2019)

  • [65]

    A. L. Kataev and V. S. Molokoedov, Eur. Phys. J. C80, 1160 (2020)

  • [66]

    H. D. Politzer, Phys. Rev. Lett.30, 1346 (1973)

  • [67]

    D. J. Gross and F. Wilczek, Phys. Rev. Lett.30, 1343 (1973)

  • [68]

    H. D. Politzer, Phys. Rep.14, 129 (1974)

  • [69]

    D. J. Gross and F. Wilczek, Phys. Rev. D8, 3633 (1973)

  • [70]

    P. A. Baikov, K. G. Chetyrkinet al., Phys. Rev. Lett.118, 082002 (2017)

  • [71]

    K. G. Chetyrkin, Nucl. Phys. B710, 499 (2005)

  • [72]

    P. A. Baikov, K. G. Chetyrkinet al., JHEP10, 076 (2014)

  • [73]

    J. A. M. Vermaseren, S. A. Larin, and T. van Ritbergen, Phys. Lett. B405, 327 (1997)

  • [74]

    K. G. Chetyrkin, Phys. Lett. B404, 161 (1997)

  • [75]

    R.L. Workmanet al. (Particle Data Group), PTEP2022, 083C01 (2022)

  • [76]

    S. J. Brodsky and X. G. Wu, Phys. Rev. D85, 034038 (2012)

  • [77]

    S. J. Brodsky and L. Di Giustino, Phys. Rev. D86, 085026 (2012)

  • [78]

    S. J. Brodsky and X. G. Wu, Phys. Rev. Lett.109, 042002 (2012)

  • [79]

    M. Mojaza, S. J. Brodsky, and X. G. Wu, Phys. Rev. Lett.110, 192001 (2013)

  • [80]

    S. J. Brodsky, G. P. Lepage, and P. B. Mackenzie, Phys. Rev. D28, 228 (1983)

  • [81]

    S. J. Brodsky, L. Di Giustino, P. G. Ratcliffeet al., Phys. Lett. B847, 138288 (2023), arXiv:2311.17360 [hep-ph]

  • [82]

    P. M. Stevenson, Phys. Lett. B100, 61 (1981)

  • [83]

    P. M. Stevenson, Phys. Rev. D23, 2916 (1981)

  • [84]

    X. G. Wu, Y. Ma, S. Q. Wanget al., Rept. Prog. Phys.78, 126201 (2015)

  • [85]

    Y. Ma, X. G. Wu, H. H. Maet al., Phys. Rev. D91, 034006 (2015)

  • [86]

    Y. Ma and X. G. Wu, Phys. Rev. D97, 036024 (2018)

  • [87]

    S. J. Brodsky and X. G. Wu, Phys. Rev. D86, 054018 (2012)

  • [88]

    X. G. Wu, S. J. Brodsky, and M. Mojaza, Prog. Part. Nucl. Phys.72, 44 (2013)

  • [89]

    X. G. Wu, J. M. Shen, B. L. Duet al., Phys. Rev. D97, 094030 (2018)

  • [90]

    X. G. Wu, J. M. Shen, B. L. Duet al., Prog. Part. Nucl. Phys.108, 103706 (2019)

  • [91]

    L. Di Giustino, S. J. Brodsky, P. G. Ratcliffeet al.,High precision tests of QCD without scale or scheme ambiguities, arXiv: 2307.03951 [hep-ph]

  • [92]

    B. L. Du, X. G. Wu, J. M. Shenet al., Eur. Phys. J. C79, 182 (2019)

  • [93]

    Q. Yu, X. G. Wu, J. Zenget al., Eur. Phys. J. C80, 362 (2020)

  • [94]

    Q. Yu, X. G. Wu, S. Q. Wanget al., Chin. Phys. C43, 093102 (2019)

  • [95]

    X. D. Huang, X. G. Wu, J. Zenget al., Phys. Rev. D101, 114024 (2020)

  • [96]

    H. M. Yu, W. L. Sang, X. D. Huanget al., JHEP01, 131 (2021)

  • [97]

    X. D. Huang, X. G. Wu, X. C. Zhenget al., Eur. Phys. J. C81, 291 (2021)

  • [98]

    X. D. Huang, X. G. Wu, Q. Yuet al., Nucl. Phys. B969, 115466 (2021)

  • [99]

    S. J. Brodsky, M. Mojaza, and X. G. Wu, Phys. Rev. D89, 014027 (2014)

  • [100]

    J. M. Shen, X. G. Wu, B. L. Duet al., Phys. Rev. D95, 094006 (2017)

  • [101]

    D. Salinas-Arizmendi and I. Schmidt,Relation between polar and running masses of heavy quarks using the principle of maximum conformality, arXiv: 2209.06881 [hep-ph]

  • [102]

    S. Q. Wang, X. G. Wu, X. C. Zhenget al., Eur. Phys. J. C74, 2825 (2014)

  • [103]

    H. Y. Bi, X. G. Wu, Y. Maet al., Phys. Lett. B748, 13 (2015)

  • [104]

    F. Herren and M. Steinhauser, Comput. Phys. Commun.224, 333 (2018)

  • [105]

    X. C. Zheng, X. G. Wu, S. Q. Wanget al., J. High Energy Phys.10, 117 (2013)

  • [106]

    J. L. Basdevant, Fortsch. Phys.20, 283 (1972)

  • [107]

    M. A. Samuel, G. Li, and E. Steinfelds, Phys. Lett. B323, 188 (1994)

  • [108]

    M. A. Samuel, J. R. Ellis, and M. Karliner, Phys. Rev. Lett.74, 4380 (1995)

  • [109]

    E. Gardi, Phys. Rev. D56, 68 (1997)

  • [110]

    G. Aadet al. (ATLAS and CMS), JHEP07, 213 (2023)

Baidu
map