scholarly journals Heavy Quarks, QCD, and Effective Field Theory

2012 ◽  
Author(s):  
Thomas Mehen
2003 ◽  
Vol 18 (11) ◽  
pp. 1959-1989 ◽  
Author(s):  
M. ZHONG ◽  
Y. L. WU ◽  
W. Y. WANG

B meson rare decays ([Formula: see text] and B → K* γ) are analyzed in the framework of effective field theory of heavy quarks. The semileptonic and penguin type form factors for these decays are calculated by using the light cone sum rules method at the leading order of 1/mQexpansion. Four exact relations between the two types of form factors are obtained at the leading order of 1/mQexpansion. In particular, the relations are found to hold for the whole momentum transfer region. We also investigate the validity of the relations resulting from the large energy effective theory based on the general relations obtained in the present approach. The branching ratios of the rare decays are presented and their potential importance for extracting the CKM matrix elements and probing new physics is emphasized.


2001 ◽  
Vol 16 (23) ◽  
pp. 1525-1529
Author(s):  
J. GAMBOA ◽  
S. LEPE ◽  
L. VERGARA

A derivation of the effective Lagrangian for non-relativistic quantum chromodynamics and the heavy quarks effective field theory is given. Our calculation provides a simple and systematic method of calculation of the full off-shell effective Lagrangian at tree level including all the 1/m corrections.


2003 ◽  
Vol 18 (19) ◽  
pp. 1303-1316 ◽  
Author(s):  
Y. L. Wu ◽  
Y. A. Yan ◽  
M. Zhong ◽  
Y. B. Zuo ◽  
W. Y. Wang

The heavy quark effective field theory (HQEFT) is revisited in a more intuitive way. It is shown that HQEFT is a consistent large component QCD of heavy quarks. In the nonrelativistic limit, HQEFT recovers the nonrelativistic QCD (NRQCD). The resulting new effects in the HQEFT of QCD are carefully re-examined. It is then natural to give comments on the usual heavy quark effective theory (HQET). Consistent phenomenological applications of HQEFT exhibit its interesting features and completeness in comparison with HQET. It then becomes manifest why we shall base on the HQEFT of QCD rather than HQET which is incomplete for computing 1/mQcorrections. More precise extraction for ∣Vcb∣ and ∣Vub∣ in the HQEFT of QCD is emphasized.


Effective field theory (EFT) is a general method for describing quantum systems with multiple-length scales in a tractable fashion. It allows us to perform precise calculations in established models (such as the standard models of particle physics and cosmology), as well as to concisely parametrize possible effects from physics beyond the standard models. EFTs have become key tools in the theoretical analysis of particle physics experiments and cosmological observations, despite being absent from many textbooks. This volume aims to provide a comprehensive introduction to many of the EFTs in use today, and covers topics that include large-scale structure, WIMPs, dark matter, heavy quark effective theory, flavour physics, soft-collinear effective theory, and more.


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