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2018

The strong coupling from $e^+e^-\to$ hadrons below charm

Boito, Diogo, Golterman, Maarten, Keshavarzi, Alexander et al.

Understand

We use a new compilation of the hadronic $R$-ratio from available data for the process $e^+e^-\to\mbox{hadrons}$ to determine the strong coupling, $\alpha_s$.

We make use of all data for the $R$-ratio from threshold to a center-of-mass energy of 2 GeV by employing finite-energy sum rules.
Data above 2 GeV, for which at present far fewer high-precision experimental data are available, do not provide much additional constraint but are fully consistent with the values for $\alpha_s$ we obtain.
Quoting our results at the $\tau$ mass to facilitate comparison to the results obtained from analogous analyses of hadronic $\tau$-decay data, we find $\alpha_s(m_\tau^2)=0.298\pm 0.016\pm 0.006$ in fixed-order perturbation theory, and $\alpha_s(m_\tau^2)=0.304\pm 0.018\pm 0.006$ in contour-improved perturbation theory, where the first error is statistical, and the second error reflects our estimate of various systematic effects.

Built on

R. Shankar, Phys. Rev. D 15
1985
Earlier work this paper cites.
E. Braaten, Phys. Rev. Lett. 60
1988
Earlier work this paper cites.
S. G. Gorishnii, A. L. Kataev and S. A. Larin, Nuovo Cim. A 92
1990
Earlier work this paper cites.
E. Braaten, S. Narison and A. Pich, Nucl. Phys. B 373
1992
Earlier work this paper cites.
A. A. Pivovarov, Z. Phys. C 53
1992
Earlier work this paper cites.
K. Ackerstaff et al
1999
Earlier work this paper cites.
J. Z. Bai et al
2002
Earlier work this paper cites.
B. Blok, M. A. Shifman and D. X. Zhang, Phys. Rev. D 57
2002
Earlier work this paper cites.
K. Hagiwara, A. D. Martin, D. Nomura and T. Teubner, Phys. Rev. D 69
2004
Earlier work this paper cites.
M. Jamin, JHEP 0509
2005
Earlier work this paper cites.
O. Catà, M. Golterman and S. Peris, JHEP 0508
2005
Earlier work this paper cites.
R. Barate et al
2005
Earlier work this paper cites.
K. Hagiwara, A. D. Martin, D. Nomura and T. Teubner, Phys. Lett. B 649
2007
Earlier work this paper cites.
P. A. Baikov, K. G. Chetyrkin and J. H. Kühn, Phys. Rev. Lett. 101
Original
2008
Earlier work this paper cites.

Similar

M. Beneke and M. Jamin, JHEP 0809
Original
2008
Cited alongside, same era.
K. Maltman and T. Yavin, Phys. Rev. D 78
Original
2008
Cited alongside, same era.
O. Catà, M. Golterman and S. Peris, Phys. Rev. D 77
Original
2008
Cited alongside, same era.
B. Aubert et al
Original
2008
Cited alongside, same era.
I. Caprini and J. Fischer, Eur. Phys. J. C 64
Original
2009
Cited alongside, same era.

Then

A. Pich and A. Rodríguez-Sánchez, Phys. Rev. D 94
Original
2016
Later among the works it cites.
D. Boito, M. Jamin and R. Miravitllas, Phys. Rev. Lett. 117
Original
2016
Later among the works it cites.
C. Patrignani et al
2016
Later among the works it cites.
M. Dalla Brida et al
Original
2016
Later among the works it cites.
D. Boito, M. Golterman, K. Maltman and S. Peris, Phys. Rev. D 95
Original
2017
Later among the works it cites.

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