scholarly journals NNNLO determination of the bottom-quark mass from non-relativistic sum rules

Author(s):  
Andreas Maier ◽  
Martin Beneke ◽  
Jan Piclum ◽  
Thomas Rauh
Keyword(s):  
1999 ◽  
Vol 471 (2-3) ◽  
pp. 233-243 ◽  
Author(s):  
M. Beneke ◽  
A. Signer

2001 ◽  
Vol 16 (supp01b) ◽  
pp. 588-590 ◽  
Author(s):  
NELLO PAVER

I briefly review recent QCD Sum Rules determinations of the strange current quark mass, based on the analysis of the two-point ΔS=1 scalar correlators and discuss, in particular, the role of resonances and non-resonant background in the spectral function.


2012 ◽  
Vol 85 (3) ◽  
Author(s):  
S. Bodenstein ◽  
J. Bordes ◽  
C. A. Dominguez ◽  
J. Peñarrocha ◽  
K. Schilcher

2016 ◽  
Vol 270-272 ◽  
pp. 113-117 ◽  
Author(s):  
Bahman Dehnadi ◽  
André H. Hoang ◽  
Vicent Mateu

2021 ◽  
Vol 81 (9) ◽  
Author(s):  
Fang-Hui Yin ◽  
Wen-Ya Tian ◽  
Liang Tang ◽  
Zhi-Hui Guo

AbstractIn this work, we determine up/down-quark mass $$m_{q=u/d}$$ m q = u / d in the isoscalar scalar channel from both the Shifman–Vainshtein–Zakharov (SVZ) and the Monte-Carlo-based QCD sum rules. The relevant spectral function, including the contributions from the $$f_0(500)$$ f 0 ( 500 ) , $$f_0(980)$$ f 0 ( 980 ) and $$f_0(1370)$$ f 0 ( 1370 ) resonances, is determined from a sophisticated U(3) chiral study. Via the traditional SVZ QCD sum rules, we give the prediction to the average light-quark mass $$m_q(2 ~\text {GeV})=\frac{1}{2}(m_u(2 ~\text {GeV}) + m_d(2 ~\text {GeV}))=(3.46^{+0.16}_{-0.22} \pm 0.33) ~\text {MeV}$$ m q ( 2 GeV ) = 1 2 ( m u ( 2 GeV ) + m d ( 2 GeV ) ) = ( 3 . 46 - 0.22 + 0.16 ± 0.33 ) MeV . Meanwhile, by considering the uncertainties of the input QCD parameters and the spectral functions of the isoscalar scalar channel, we obtain $$m_q (2~\text {GeV}) = (3.44 \pm 0.14 \pm 0.32) ~\text {MeV}$$ m q ( 2 GeV ) = ( 3.44 ± 0.14 ± 0.32 ) MeV from the Monte-Carlo-based QCD sum rules. Both results are perfectly consistent with each other, and nicely agree with the Particle Data Group value within the uncertainties.


1999 ◽  
Vol 74 (1-3) ◽  
pp. 313-316 ◽  
Author(s):  
C.A. Dominguez ◽  
L. Pirovano ◽  
K. Schilcher

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