Radial Spectrum of Light Mesons in Planar QCD Sum Rules and the Scalar Sigma-Meson

2019 ◽  
Vol 200 (2) ◽  
pp. 1075-1093 ◽  
Author(s):  
S. S. Afonin ◽  
T. D. Solomko
Keyword(s):  
Sum Rules ◽  
Qcd Sum Rules ◽  
Light Mesons ◽  
Sigma Meson

ON PERTURBATIVE CALCULABILITY OF THE COEFFICIENT FUNCTIONS OF CONDENSATES IN THE QCD SUM RULES

1989 ◽  
Vol 04 (08) ◽  
pp. 765-773 ◽  
Author(s):  
L.R. SURGULADZE ◽  
F.V. TKACHOV
Keyword(s):  
Perturbation Theory ◽  
Renormalization Group ◽  
Sum Rules ◽  
Group Analysis ◽  
Coefficient Function ◽  
Qcd Sum Rules ◽  
Renormalization Group Analysis ◽  
Light Mesons ◽  
Pseudo Scalar

We calculate two-loop corrections to the coefficient functions of the condensates 〈G2〉0 and [Formula: see text] in the QCD sum rules for the light mesons in the vector, scalar and pseudoscalar channels, and three-loop corrections to the coefficient function of the condensate 〈G2〉0 in the (pseudo)scalar channel. We find that a renormalization-group analysis casts strong doubts on the feasibility of obtaining correct estimates for the coefficient functions via perturbation theory.

scholarly journals Radial excitations of heavy-light mesons from QCD sum rules

2014 ◽  
Vol 74 (8) ◽  
Author(s):  
P. Gelhausen ◽  
A. Khodjamirian ◽  
A. A. Pivovarov ◽  
D. Rosenthal
Keyword(s):  
Sum Rules ◽  
Qcd Sum Rules ◽  
Light Mesons

scholarly journals D-wave heavy-light mesons from QCD sum rules

2014 ◽  
Vol 90 (11) ◽  
Author(s):  
Dan Zhou ◽  
Er-Liang Cui ◽  
Hua-Xing Chen ◽  
Li-Sheng Geng ◽  
Xiang Liu ◽  
...  
Keyword(s):  
Sum Rules ◽  
Qcd Sum Rules ◽  
Light Mesons ◽  
D Wave

QCD sum rules for light mesons

1981 ◽  
Vol 182 (1-2) ◽  
pp. 59-76 ◽  
Author(s):  
Stephan Narison
Keyword(s):  
Sum Rules ◽  
Qcd Sum Rules ◽  
Light Mesons

scholarly journals Correlators of vector, tensor, and scalar composite vertices of order O($$ {\alpha}_{\mathrm{s}}^2 $$β0)

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
S. V. Mikhailov ◽  
N. Volchanskiy
Keyword(s):  
Sum Rules ◽  
Radiative Corrections ◽  
Qcd Sum Rules ◽  
Analytical Results ◽  
Light Mesons

Abstract We present analytical results for massless correlators of two vector, tensor, and scalar composite vertices with the Bjorken fractions x and y of order $$ {\alpha}_s^2 $$ α s 2 β0 of QCD. The structure of these correlators ΠV,T,S(x, y; p2) and properties of its main elements are discussed in detail. Special attention is paid to verifying the results and comparing them with known particular cases. We apply the correlators to evaluate radiative corrections to the distribution amplitudes of light mesons within the QCD sum rules.

scholarly journals PHENOMENOLOGICAL BOUNDS ON B TO LIGHT SEMILEPTONIC FORM FACTORS

1998 ◽  
Vol 13 (23) ◽  
pp. 1845-1852 ◽  
Author(s):  
D. FALCONE ◽  
N. TANCREDI ◽  
F. TRAMONTANO ◽  
P. SANTORELLI
Keyword(s):  
Sum Rules ◽  
Form Factors ◽  
Qcd Sum Rules ◽  
Lattice Calculations ◽  
Light Mesons

The form factors for the weak currents between B and light mesons are studied by relating them to the corresponding D form factors at [Formula: see text] according to HQET, by evaluating them at q2=0 by QCD sum rules, and by assuming a polar q2 dependence. The results found are consistent with the information obtained from exclusive non-leptonic two-body decays and, with the only exception of A1, with lattice calculations.

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