Built on

N. Gray, D. J. Broadhurst, W. Grafe and K. Schilcher, Three Loop Relation of Quark (Modified) Ms and Pole Masses, Z. Phys. C 48
1990
Earlier work this paper cites.
M. Beneke and V. M. Braun, Heavy quark effective theory beyond perturbation theory: Renormalons, the pole mass and the residual mass term , Nucl. Phys. B426
1994
Earlier work this paper cites.
I. I. Y. Bigi, M. A. Shifman, N. G. Uraltsev and A. I. Vainshtein, The Pole mass of the heavy quark. Perturbation theory and beyond , Phys. Rev. D50
1994
Earlier work this paper cites.
M. Beneke, More on ambiguities in the pole mass , Phys. Lett. B344
1995
Earlier work this paper cites.
M. Beneke and V. M. Braun, Naive nonabelianization and resummation of fermion bubble chains , Phys. Lett. B348
1995
Earlier work this paper cites.
P. Ball, M. Beneke and V. M. Braun, Resummation of ( β 0 α s ) n (\beta_{0}\alpha_{s})^{n} corrections in QCD: Techniques and applications to the tau hadronic width and the heavy quark pole mass , Nucl. Phys. B452
1995
Earlier work this paper cites.
M. C. Smith and S. S. Willenbrock, Top quark pole mass , Phys. Rev. Lett. 79
1997
Earlier work this paper cites.
M. Beneke, Renormalons , Phys. Rept. 317
1999
Earlier work this paper cites.

Similar

A. Pineda, Determination of the bottom quark mass from the Upsilon(1S) system , JHEP 06
2001
Cited alongside, same era.
T. Lee, Heavy quark mass determination from the quarkonium ground state energy: A Pole mass approach , JHEP 10
2003
Cited alongside, same era.
S. Bekavac, A. Grozin, D. Seidel and M. Steinhauser, Light quark mass effects in the on-shell renormalization constants, JHEP 0710
2007
Cited alongside, same era.
A. H. Hoang, A. Jain, I. Scimemi and I. W. Stewart, Infrared Renormalization Group Flow for Heavy Quark Masses, Phys. Rev. Lett. 101
Original
2008
Cited alongside, same era.
D. Buttazzo, G. Degrassi, P. P. Giardino, G. F. Giudice, F. Sala, A. Salvio and A. Strumia, Investigating the near-criticality of the Higgs boson, JHEP 1312
Original
2013
Cited alongside, same era.

Then

P. Marquard, A. V. Smirnov, V. A. Smirnov and M. Steinhauser, Quark Mass Relations to Four-Loop Order in Perturbative QCD , Phys. Rev. Lett. 114
Original
2015
Later among the works it cites.
T. Lee, Flavor dependence of normalization constant for an infrared renormalon , Phys. Lett. B742
Original
2015
Later among the works it cites.
P. Nason, Theory Summary , 8th International Workshop on Top Quark Physics (TOP2015), 14-18 September 2015 Ischia, Italy, PoS(TOP2015)056, [ 1602.00443 ]
2015
Later among the works it cites.
M. Beneke, Y. Kiyo, P. Marquard, A. Penin, J. Piclum and M. Steinhauser, Next-to-Next-to-Next-to-Leading Order QCD Prediction for the Top Antitop S S -Wave Pair Production Cross Section Near Threshold in e + e − e^{+}e^{-} Annihilation , Phys. Rev. Lett. 115
Original
2015
Later among the works it cites.

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2016

On the ultimate uncertainty of the top quark pole mass

Beneke, M., Marquard, P., Nason, P. et al.

Understand

We combine the known asymptotic behaviour of the QCD perturbation series expansion, which relates the pole mass of a heavy quark to the MSbar mass, with the exact series coefficients up to the four-loop order to determine the ultimate uncertainty of the top-quark pole mass due to the renormalon divergence.

We perform extensive tests of our procedure by varying the number of colours and flavours, as well as the scale of the strong coupling and the MSbar mass.
Including an estimate of the internal bottom and charm quark mass effect, we conclude that this uncertainty is around 110 MeV.
We further estimate the additional contribution to the mass relation from the five-loop correction and beyond to be around 300 MeV.

Built on

N. Gray, D. J. Broadhurst, W. Grafe and K. Schilcher, Three Loop Relation of Quark (Modified) Ms and Pole Masses, Z. Phys. C 48
1990
Earlier work this paper cites.
M. Beneke and V. M. Braun, Heavy quark effective theory beyond perturbation theory: Renormalons, the pole mass and the residual mass term , Nucl. Phys. B426
1994
Earlier work this paper cites.
I. I. Y. Bigi, M. A. Shifman, N. G. Uraltsev and A. I. Vainshtein, The Pole mass of the heavy quark. Perturbation theory and beyond , Phys. Rev. D50
1994
Earlier work this paper cites.
M. Beneke, More on ambiguities in the pole mass , Phys. Lett. B344
1995
Earlier work this paper cites.
M. Beneke and V. M. Braun, Naive nonabelianization and resummation of fermion bubble chains , Phys. Lett. B348
1995
Earlier work this paper cites.
P. Ball, M. Beneke and V. M. Braun, Resummation of ( β 0 α s ) n (\beta_{0}\alpha_{s})^{n} corrections in QCD: Techniques and applications to the tau hadronic width and the heavy quark pole mass , Nucl. Phys. B452
1995
Earlier work this paper cites.
M. C. Smith and S. S. Willenbrock, Top quark pole mass , Phys. Rev. Lett. 79
1997
Earlier work this paper cites.
M. Beneke, Renormalons , Phys. Rept. 317
1999
Earlier work this paper cites.

Similar

A. Pineda, Determination of the bottom quark mass from the Upsilon(1S) system , JHEP 06
2001
Cited alongside, same era.
T. Lee, Heavy quark mass determination from the quarkonium ground state energy: A Pole mass approach , JHEP 10
2003
Cited alongside, same era.
S. Bekavac, A. Grozin, D. Seidel and M. Steinhauser, Light quark mass effects in the on-shell renormalization constants, JHEP 0710
2007
Cited alongside, same era.
A. H. Hoang, A. Jain, I. Scimemi and I. W. Stewart, Infrared Renormalization Group Flow for Heavy Quark Masses, Phys. Rev. Lett. 101
Original
2008
Cited alongside, same era.
D. Buttazzo, G. Degrassi, P. P. Giardino, G. F. Giudice, F. Sala, A. Salvio and A. Strumia, Investigating the near-criticality of the Higgs boson, JHEP 1312
Original
2013
Cited alongside, same era.

Then

P. Marquard, A. V. Smirnov, V. A. Smirnov and M. Steinhauser, Quark Mass Relations to Four-Loop Order in Perturbative QCD , Phys. Rev. Lett. 114
Original
2015
Later among the works it cites.
T. Lee, Flavor dependence of normalization constant for an infrared renormalon , Phys. Lett. B742
Original
2015
Later among the works it cites.
P. Nason, Theory Summary , 8th International Workshop on Top Quark Physics (TOP2015), 14-18 September 2015 Ischia, Italy, PoS(TOP2015)056, [ 1602.00443 ]
2015
Later among the works it cites.
M. Beneke, Y. Kiyo, P. Marquard, A. Penin, J. Piclum and M. Steinhauser, Next-to-Next-to-Next-to-Leading Order QCD Prediction for the Top Antitop S S -Wave Pair Production Cross Section Near Threshold in e + e − e^{+}e^{-} Annihilation , Phys. Rev. Lett. 115
Original
2015
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Particle Data Group

2014

Cited alongside, same era.

C. Ayala, G. Cvetič and A. Pineda, The bottom quark mass from the 𝚼 ⁡ ( 1 S ) \boldsymbol{\Upsilon}(1S) system at NNNLO , JHEP 09

Original

2014

Cited alongside, same era.

ATLAS, CDF, CMS, D0

Original

Cited in the paper.

[1603.04764]

Original

F. Simon, A First Look at the Impact of NNNLO Theory Uncertainties on Top Mass Measurements at the ILC , in International Workshop on Future Linear Colliders (LCWS15) Whistler, B.C., Canada, November 2-6, 2015 , · 2015

Later among the works it cites.

P. Marquard, A.V. Smirnov, V.A. Smirnov, M. Steinhauser, D. Wellmann, M S ¯ \overline{MS} -on-shell quark mass relation up to four loops in QCD and a general SU(N) gauge group , Phys. Rev. D 94

2016

Closest in time.

P. A. Baikov, K. G. Chetyrkin and J. H. Kühn, Five-Loop Running of the QCD coupling constant, Phys. Rev. Lett. 118

2017

Closest in time.