scholarly journals REVIEW ON THE DETERMINATION OF αs FROM THE QCD STATIC ENERGY

2013 ◽  
Vol 28 (33) ◽  
pp. 1330028 ◽  
Author(s):  
XAVIER GARCIA i TORMO
Keyword(s):  
Quantum Chromodynamics ◽  
Strong Coupling ◽  
Lattice Data ◽  
Static Energy

We review the determination of the strong coupling αs from the comparison of the perturbative expression for the Quantum Chromodynamics static energy with lattice data. Here, we collect all the perturbative expressions needed to evaluate the static energy at the currently known accuracy.

scholarly journals Determination of α(Mz) from an hyperasymptotic approximation to the energy of a static quark-antiquark pair

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Cesar Ayala ◽  
Xabier Lobregat ◽  
Antonio Pineda
Keyword(s):  
Perturbation Theory ◽  
Energy Range ◽  
Short Distance ◽  
Weak Coupling ◽  
Strong Consistency ◽  
Lattice Data ◽  
Static Potential ◽  
Static Energy ◽  
Static Quark

Abstract We give the hyperasymptotic expansion of the energy of a static quark-antiquark pair with a precision that includes the effects of the subleading renormalon. The terminants associated to the first and second renormalon are incorporated in the analysis when necessary. In particular, we determine the normalization of the leading renormalon of the force and, consequently, of the subleading renormalon of the static potential. We obtain $$ {Z}_3^F $$ Z 3 F (nf = 3) = $$ 2{Z}_3^V $$ 2 Z 3 V (nf = 3) = 0.37(17). The precision we reach in strict perturbation theory is next-to-next-to-next-to-leading logarithmic resummed order both for the static potential and for the force. We find that the resummation of large logarithms and the inclusion of the leading terminants associated to the renormalons are compulsory to get accurate determinations of $$ {\Lambda}_{\overline{\mathrm{MS}}} $$ Λ MS ¯ when fitting to short-distance lattice data of the static energy. We obtain $$ {\Lambda}_{\overline{\mathrm{MS}}}^{\left({n}_f=3\right)} $$ Λ MS ¯ n f = 3 = 338(12) MeV and α(Mz) = 0.1181(9). We have also MS found strong consistency checks that the ultrasoft correction to the static energy can be computed at weak coupling in the energy range we have studied.

Strong coupling from the QCD static energy

2016 ◽  
Vol 31 (34) ◽  
pp. 1630039
Author(s):  
Antonio Vairo
Keyword(s):  
Lattice Qcd ◽  
Strong Coupling ◽  
Static Energy

We review the determination of [Formula: see text] that follows from comparing at short distances the QCD static energy at three loops and resummation of the next-to-next-to leading logarithms with its determination in 2+1-flavor lattice QCD provided by the HotQCD collaboration. The result that we obtain is [Formula: see text](1.5 GeV) = 0.336[Formula: see text], corresponding to [Formula: see text](MZ) = 0.1166[Formula: see text]. We outline future possible developments.

Model-Independent Second-Order Determination of the Strong-Coupling Constantαs

1983 ◽  
Vol 50 (26) ◽  
pp. 2051-2053 ◽  
Author(s):  
B. Adeva ◽  
D. P. Barber ◽  
U. Becker ◽  
J. Berdugo ◽  
G. Berghoff ◽  
...  
Keyword(s):  
Strong Coupling ◽  
Second Order ◽  
Model Independent ◽  
Order Determination

Comparison of coupling constant by using momentum spectra and event shape variables in different interactions

2020 ◽  
Vol 98 (10) ◽  
pp. 900-906
Author(s):  
R. Saleh-Moghaddam ◽  
M.E. Zomorrodian
Keyword(s):  
Quantum Chromodynamics ◽  
Strong Coupling ◽  
Event Shape ◽  
Coupling Constant ◽  
Main Text ◽  
Shape Distribution ◽  
Electron Positron ◽  
Momentum Spectra ◽  
Dispersive Model ◽  
Event Shape Distribution

We describe in this paper the quantum chromodynamics prediction to calculate the strong coupling constant by using event shape variables as well as momentum spectra. By fitting the dispersive model and employing our parameters on event shape distribution, we obtain the perturbative value of [Formula: see text] = 0.1305 ± 0.0474 and also the non-perturbative value of α0 = 0.5246 ± 0.0516 GeV for electron–proton interactions. Next, by using momentum spectra for the same interactions, we obtain αs = 0.1572 ± 0.029. Our values in both methods are consistent with those obtained from electron–positron annihilations measured previously. When we find coupling constant for different flavours, we observe that they do not affect our results considerably. This is in accordance with quantum chromodynamics theory. All these features will be explained in the main text.

Comparison of e+e− annihilation with QCD and determination of the strong coupling constant

1980 ◽  
Vol 94 (3) ◽  
pp. 437-443 ◽  
Author(s):  
R. Brandelik ◽  
W. Braunschweig ◽  
K. Gather ◽  
V. Kadansky ◽  
K. Lübelsmeyer ◽  
...  
Keyword(s):  
Strong Coupling ◽  
Strong Coupling Constant ◽  
Coupling Constant
Sign in / Sign up

Export Citation Format

Share Document