K. G. Chetyrkin, J. H. Kühn, A. Maier, P. Maierhöfer, P. Marquard, M. Steinhauser, C. Sturm, “Precise charm- and bottom-quark masses: Theoretical and experimental uncertainties”, TMF, 170:2 (2012), 265–279; Theoret. and Math. Phys., 170:2 (2012), 217

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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 170, Number 2, Pages 265–279
DOI: https://doi.org/10.4213/tmf6765 (Mi tmf6765)

This article is cited in 41 scientific papers (total in 41 papers)

Precise charm- and bottom-quark masses: Theoretical and experimental uncertainties

K. G. Chetyrkin^a, J. H. Kühn^a, A. Maier^a, P. Maierhöfer^b, P. Marquard^a, M. Steinhauser^a, C. Sturm^c

^a Institute for Theoretical Particle Physics, Karlsruhe Institute of Technology, Karlsruhe, Germany
^b Institute for Theoretical Physics, University of Zurich, Zurich, Switzerland
^c Max Planck Institute of Physics, Werner Heisenberg Institute, Munich, Germany

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DOI: https://doi.org/10.4213/tmf6765

Abstract: We consider recent theoretical and experimental improvements in determining charm- and bottom-quark masses. We present a new, improved evaluation of the contribution of the gluon condensate

⟨ α_{s} G^{2} / π ⟩

$\langle\alpha_{\mathrm s}G^2/\pi\rangle$ to the charm mass determination and a detailed study of potential uncertainties in the continuum cross section for

b \bar{b}

$b\bar b$ production, together with a study of the parametric uncertainty from the

α_{s}

$\alpha_{\mathrm s}$ -dependence of our results. The final results,

m_{c} (3 \,GeV) = 986 (13) \,MeV

$m_c(3\text{\,GeV})=986(13)\text{\,MeV}$ and

m_{b} (m_{b}) = 4163 (16) \,MeV

$m_b(m_b)= 4163(16)\text{\,MeV}$ , together with the closely related lattice determination

m_{c} (3 \,GeV) = 986 (6) \,MeV

$m_c(3\text{\,GeV})=986(6)\text{\,MeV}$ , currently represent the most precise determinations of these two fundamental standard-model parameters. We critically analyze the theoretical and experimental uncertainties.

Keywords: QCD sum rules, heavy quark mass, vacuum polarization.

Received: 12.02.2012

English version:
Theoretical and Mathematical Physics, 2012, Volume 170, Issue 2, Pages 217–228
DOI: https://doi.org/10.1007/s11232-012-0024-7

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: K. G. Chetyrkin, J. H. Kühn, A. Maier, P. Maierhöfer, P. Marquard, M. Steinhauser, C. Sturm, “Precise charm- and bottom-quark masses: Theoretical and experimental uncertainties”, TMF, 170:2 (2012), 265–279; Theoret. and Math. Phys., 170:2 (2012), 217–228

Citation in format AMSBIB

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\pages 265--279

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This publication is cited in the following 41 articles:

D d'Enterria, S Kluth, G Zanderighi, C Ayala, M A Benitez-Rathgeb, J Blümlein, D Boito, N Brambilla, D Britzger, S Camarda, A M Cooper-Sarkar, T Cridge, G Cvetič, D d'Enterria, M Dalla Brida, A Deur, F Giuli, M Golterman, A H Hoang, J Huston, M Jamin, S Kluth, A V Kotikov, V G Krivokhizhin, A S Kronfeld, V Leino, K Lipka, T Mäkelä, B Malaescu, K Maltman, S Marzani, V Mateu, S Moch, P F Monni, P Nadolsky, P Nason, A V Nesterenko, R Pérez-Ramos, S Peris, P Petreczky, A Pich, K Rabbertz, A Ramos, D Reichelt, A Rodríguez-Sánchez, J Rojo, M Saragnese, L Sawyer, M Schott, S Schumann, B G Shaikhatdenov, S Sint, G Soyez, D Teca, A Vairo, M Vos, C Waits, J H Weber, M Wobisch, K Xie, G Zanderighi, “The strong coupling constant: state of the art and the decade ahead”, J. Phys. G: Nucl. Part. Phys., 51:9 (2024), 090501
Anastasia Boushmelev, Thomas Mannel, K. Keri Vos, “Alternative treatment of the quark mass in the heavy quark expansion”, J. High Energ. Phys., 2023:7 (2023)
M. Davier, D. Díaz-Calderón, B. Malaescu, A. Pich, A. Rodríguez-Sánchez, Z. Zhang, “The Euclidean Adler function and its interplay with $\Delta {\alpha}_{\textrm{QED}}^{\textrm{had}}$ and αs”, J. High Energ. Phys., 2023:4 (2023)
M. S. A. Alam Khan, “Renormalization group improved determination of αs , mc , and mb from the low energy moments of heavy quark current correlators”, Phys. Rev. D, 108:7 (2023)
Jens Erler, Rodolfo Ferro-Hernández, “Perturbative contributions to $\Delta {\alpha}^{(5)}\left({M}_Z^2\right)$ ”, J. High Energ. Phys., 2023:12 (2023)
Jens Erler, Hubert Spiesberger, Pere Masjuan, “Bottom quark mass with calibrated uncertainty”, Eur. Phys. J. C, 82:11 (2022)
Fabian Lange, “Applications of the Perturbative Gradient Flow”, SciPost Phys. Proc., 2022, no. 7
Boito D., Mateu V., Rodrigues M.V., “Small-Momentum Expansion of Heavy-Quark Correlators in the Large-Beta(0) Limit and Alpha(S) Extractions”, J. High Energy Phys., 2021, no. 8, 027
Gerlach M., Nierste U., Shtabovenko V., Steinhauser M., “Two-Loop Qcd Penguin Contribution to the Width Difference in <It>B</It>(<It>S</It>)<It>-</It>B<Mml:Mo Stretchy="True"><Overbar></Mml:Mover>S Mixing”, J. High Energy Phys., 2021, no. 7, 43
Harlander V R., Lange F., Neumann T., “Hadronic Vacuum Polarization Using Gradient Flow”, J. High Energy Phys., 2020, no. 8, 109
Boito D., Mateu V., “Precise Determination of Alpha(S) From Relativistic Quarkonium Sum Rules”, J. High Energy Phys., 2020, no. 3, 094
Kataev A.L., Molokoedov V.S., “Multiloop Contributions to the on-Shell-(Ms)Over-Bar Heavy Quark Mass Relation in Qcd and the Asymptotic Structure of the Corresponding Series: the Updated Consideration”, Eur. Phys. J. C, 80:12 (2020), 1160
A. Maier, P. Marquard, “Validity of Pade approximations in vacuum polarization at three- and four-loop order”, Phys. Rev. D, 97:5 (2018), 056016
T. Rauh, “Higher-order condensate corrections to $\Upsilon$ masses, leptonic decay rates and sum rules”, J. High Energy Phys., 2018, no. 5, 201
V. V. Anashin et al., “Measurement of $\Gamma_{ee} \times \mathscr{B}_{\mu\mu}$ for $\psi(2S)$ meson”, Phys. Lett. B, 781 (2018), 174–181
Cesareo A. Dominguez, SpringerBriefs in Physics, Quantum Chromodynamics Sum Rules, 2018, 45
K. G. Chetyrkin, J. H. Kuehn, A. Maier, Ph. Maierhoefer, P. Marquard M. Steinhauser, Ch. Sturm, “Addendum to “Charm and bottom quark masses: An update””, Phys. Rev. D, 96:11 (2017), 116007
J. Erler, P. Masjuan, H. Spiesberger, “Charm quark mass with calibrated uncertainty”, Eur. Phys. J. C, 77:2 (2017), 99
A. Khodjamirian, “Quark-flavor symmetries and their violation in quantum chromodynamics”, Phys. Atom. Nuclei, 80:3 (2017), 542–548
J. Erler, P. Masjuan, H. Spiesberger, “Charm quark mass determined from a pair of sum rules”, Mod. Phys. Lett. A, 31:37 (2016), 1630041

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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