1999
DOI: 10.1142/9789812798961_0001
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Lectures on Heavy Quarks in Quantum Chromodynamics

Abstract: A pedagogical introduction to the heavy quark theory is given. It is explained that various expansions in the inverse heavy quark mass 1/m Q present a version of the Wilson operator product expansion in QCD. A systematic approach is developed and many practically interesting problems are considered. I show how the 1/m Q expansions can be built using the background field technique and how they work in particular applications. Interplay between perturbative and nonperturbative aspects of the heavy quark theory i… Show more

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Cited by 42 publications
(18 citation statements)
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“…The same is valid for the r lines. Therefore, we immediately conclude that where F(T---+ u~ + hadrons) Rr = (21) r(r--+ ~re-Pe)…”
Section: Ki(qp)k_(qp) Exp(-2q19) (16)mentioning
confidence: 61%
“…The same is valid for the r lines. Therefore, we immediately conclude that where F(T---+ u~ + hadrons) Rr = (21) r(r--+ ~re-Pe)…”
Section: Ki(qp)k_(qp) Exp(-2q19) (16)mentioning
confidence: 61%
“…where I used the fact that β 0 αs(Q 2 ) 8π = 1 2 ln(Q 2 /Λ 2 ) = 1/n * . Of course, we 10 A remarkable feature making the model different from QCD is the fact of OPE convergence at the level of O(N 0 ) and O(N −1 ) terms. This is due the fact that at this level particle production thresholds do not extend to infinite energies in the O(N ) sigma model, unlike QCD.…”
Section: Ope and Renormalons In Qcdmentioning
confidence: 92%
“…All terms in (16) have the same sign, which means that the asymptotic series per se is not Borel-summable. Now let us briefly consider the large k 2 domain in (10). At large k 2…”
Section: Renormalonsmentioning
confidence: 99%
“…These are quantities amenable to study via the OPE. Local quark-hadron duality was given a new consideration a few years ago by M. Shifman [112], who related its violations to the asymptotic nature of the power expansion in inverse large energy scale provided by the 'practical' OPE. These ideas were later reiterated and developed in a number of papers, in particular in connection to heavy quark physics (see, e.g., Refs.…”
Section: Lifetimes Of Beauty Hadronsmentioning
confidence: 99%