Author:
Yin Fang-Hui,Tian Wen-Ya,Tang Liang,Guo Zhi-Hui
Abstract
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.
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)
Reference60 articles.
1. S. Aoki et al. (Flavour Lattice Averaging Group), Eur. Phys. J. C 80(2), 113 (2020). [arXiv:1902.08191 [hep–lat]]
2. M.A. Shifman, A.I. Vainshtein, V.I. Zakharov, Nucl. Phys. B 147, 385 (1979)
3. M.A. Shifman, A.I. Vainshtein, V.I. Zakharov, Nucl. Phys. B B147, 448 (1979)
4. P. Colangelo, A. Khodjamirian, in At the Frontier of Particle Physics/Handbook of QCD, ed. by M. Shifman (World Scientific, Singapore, 2001). arXiv:hep-ph/0010175
5. J.I. Latorre, P. Pascual, J. Phys. G 11, L231 (1985)
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献