scholarly journals Renormalized sum rules for structure functions of heavy meson decays

1996 ◽  
Vol 53 (3) ◽  
pp. 1378-1390 ◽  
Author(s):  
A. G. Grozin ◽  
G. P. Korchemsky

2010 ◽  
Author(s):  
Wolfgang Lucha ◽  
Dmitri Melikhov ◽  
Silvano Simula ◽  
Leonardo Angelini ◽  
Pietro Colangelo ◽  
...  


2001 ◽  
Vol 64 (10) ◽  
pp. 1860-1875 ◽  
Author(s):  
V. V. Kiselev ◽  
A. E. Kovalsky ◽  
A. K. Likhoded
Keyword(s):  


1994 ◽  
Vol 107 (6) ◽  
pp. 891-899
Author(s):  
F. Uchiyama
Keyword(s):  


1995 ◽  
Vol 349 (4) ◽  
pp. 548-554 ◽  
Author(s):  
Igor Halperin
Keyword(s):  


1990 ◽  
Vol 46 (1) ◽  
pp. 93-109 ◽  
Author(s):  
J. G. Körner ◽  
G. A. Schuler


1976 ◽  
Vol 106 (3) ◽  
pp. 451-460 ◽  
Author(s):  
P Grassberger
Keyword(s):  


1990 ◽  
Vol 243 (3) ◽  
pp. 287-292 ◽  
Author(s):  
Adam Szczepaniak ◽  
Ernest M. Henley ◽  
Stanley J. Brodsky


1999 ◽  
Vol 447 (3-4) ◽  
pp. 298-307 ◽  
Author(s):  
I.T. Drummond ◽  
R.R. Horgan
Keyword(s):  


2010 ◽  
Vol 19 (10) ◽  
pp. 1893-1921 ◽  
Author(s):  
J.-P. CHEN

Nucleon structure study is one of the most important research areas in modern physics and has challenged us for decades. Spin has played an essential role and often brought surprises and puzzles to the investigation of the nucleon structure and the strong interaction. New experimental data on nucleon spin structure at low to intermediate momentum transfers combined with existing high momentum transfer data offer a comprehensive picture in the strong region of the interaction and of the transition region from the strong to the asymptotic-free region. Insight into some aspects of the theory for the strong interaction, Quantum Chromodynamics (QCD), is gained by exploring lower moments of spin structure functions and their corresponding sum rules (i.e., the Bjorken, Burkhardt–Cottingham, Gerasimov–Drell–Hearn (GDH), and the generalized GDH). These moments are expressed in terms of an operator-product expansion using quark and gluon degrees of freedom at moderately large momentum transfers. The higher-twist contributions have been examined through the evolution of these moments as the momentum transfer varies from higher to lower values. Furthermore, QCD-inspired low-energy effective theories, which explicitly include chiral symmetry breaking, are tested at low momentum transfers. The validity of these theories is further examined as the momentum transfer increases to moderate values. It is found that chiral perturbation theory calculations agree reasonably well with the first moment of the spin structure function g1 at low momentum transfer of 0.05–0.1 GeV2 but fail to reproduce some of the higher moments, noticeably, the neutron data in the case of the generalized polarizability δLT. The Burkhardt–Cottingham sum rule has been verified with good accuracy in a wide range of Q2 assuming that no singular behavior of the structure functions is present at very high excitation energies.



1995 ◽  
Vol 10 (28) ◽  
pp. 2113-2123 ◽  
Author(s):  
V.V. KISELEV

The sum rules for exclusive production of heavy meson pairs in e+e− annihilation are used to evaluate the [Formula: see text] and [Formula: see text] decay widths. Infinitely heavy quark limit is discussed, and the scaling relation for the quarkonium-meson coupling constant is derived. The [Formula: see text] pair contribution into the leptonic constant fϒ(4S) is estimated.



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