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We give an introduction to the heavy-quark effective theory and the $1/m_Q$ expansion, which provide the modern framework for a systematic, model-independent description of the properties and decays of hadrons containing a heavy quark. We…

High Energy Physics - Phenomenology · Physics 2007-05-23 Matthias Neubert

We give an introduction to the heavy-quark effective theory and the $1/m_Q$ expansion, which provide the modern framework for a systematic, model-independent description of the properties and decays of hadrons containing a heavy quark. We…

High Energy Physics - Phenomenology · Physics 2007-05-23 Matthias Neubert

In this series of lectures the basic ideas of the $1/m_Q$ expansion in QCD ($m_Q$ is the mass of a heavy quark) are outlined. Applications to exclusive and inclusive decays are given.

High Energy Physics - Phenomenology · Physics 2009-10-28 Thomas Mannel

I review the status of the modern theoretical approach to weak decays of heavy flavor hadrons based on the 1/m_Q expansion in QCD. The qualitative features are explained and the subtleties in simultaneously incorporating perturbative and…

High Energy Physics - Phenomenology · Physics 2014-11-17 N. G. Uraltsev

We show that one can re-arrange the Heavy Quark Expansion for inclusive weak decays of charmed hadrons in such a way that the resulting expansion is an expansion in $\Lambda_{\rm QCD} / m_c$ and $\alpha_s (m_c)$ with order-one coefficients.…

High Energy Physics - Phenomenology · Physics 2021-03-04 Th. Mannel , D. Moreno , A. A. Pivovarov

I give an introduction to the QCD-based theory of the heavy flavor hadrons and their weak decays. Trying to remain at the next-to-elementary level and skip technicalities, I concentrate on the qualitative description of the most important…

High Energy Physics - Phenomenology · Physics 2007-05-23 Nikolai Uraltsev

I identify a source of \Lambda_{QCD}/m_Q corrections to the assumption of quark-hadron duality in the application of heavy quark methods to inclusive heavy quark decays. These corrections could substantially affect the accuracy of such…

High Energy Physics - Phenomenology · Physics 2014-11-17 Nathan Isgur

Inclusive heavy-flavour decays can be described through $1/m_Q$ expansions derived from QCD with the help of an operator product expansion. I sketch their methodology and apply them first to semileptonic B decays; $|V(cb)|$ can be extracted…

High Energy Physics - Phenomenology · Physics 2008-02-03 Ikaros I. Bigi

The spin-averaged binding energy and the hyperfine mass splitting of heavy-light mesons are investigated within the constituent quark model as a function of the inverse heavy-quark mass. It is shown that the so-called heavy-quark kinetic…

High Energy Physics - Phenomenology · Physics 2009-10-30 Silvano Simula

We discuss the fragmentation of a heavy quark to a baryon containing two heavy quarks of mass $m_Q\gg\Lambda_{\rm QCD}$. In this limit the heavy quarks first combine perturbatively into a compact diquark with a radius small compared to…

High Energy Physics - Phenomenology · Physics 2010-03-25 Adam F. Falk , Michael Luke , Martin J. Savage , Mark B. Wise

We review the technique of heavy quark mass expansion of various operators made of heavy quark fields using a semiclassical approximation. It corresponds to an operator product expansion in the form of series in the inverse heavy quark…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Franz , M. V. Polyakov , K. Goeke

Within the complete heavy quark effective field theory (HQEFT), the QCD sum rule approach is used to evaluate the decay constants including 1/m_Q corrections and the Isgur-Wise function and other additional important wave functions…

High Energy Physics - Phenomenology · Physics 2015-06-25 W. Y. Wang , Y. L. Wu

These lectures contain an elementary introduction to heavy quark symmetry and the heavy quark expansion. Applications such as the expansion of heavy meson decay constants and the treatment of inclusive and exclusive semileptonic B decays…

High Energy Physics - Phenomenology · Physics 2017-08-23 Adam F. Falk

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…

High Energy Physics - Phenomenology · Physics 2009-09-25 M. Shifman

I give a brief outline of the theoretical framework for the modern treatment of the strong interaction effects in heavy quark decays, based on first principles of QCD. This model-independent approach is required to meet the precision of…

High Energy Physics - Phenomenology · Physics 2014-11-17 N. Uraltsev

The Heavy Quark Expansion (HQE) has become an extremely powerful tool in flavor physics. For charm decays, where the expansion parameters $\alpha_s(m_c)$ and $\Lambda_{\rm QCD}/m_c$ are bigger than for bottom decays, it remains to be seen…

High Energy Physics - Phenomenology · Physics 2020-01-29 Matteo Fael , Thomas Mannel , K. Keri Vos

The determination of $|V_{cb}|$ using inclusive and exclusive (semi-)leptonic decays exhibits a long-standing tension of varying ${\cal O}(3 \sigma)$ significance. For the inclusive determination the decay rate is expanded in $1/m_b$ using…

High Energy Physics - Phenomenology · Physics 2016-05-25 Sascha Turczyk

We present a number of exact relations for the heavy quark limit and develop an analytical 1/m_Q expansion for heavy mesons in the 't Hooft model. Among the new results are relation 3\mu_\pi^2=\bar\Lambda^2 - m_{sp}^2+\beta^2, 1/m_Q…

High Energy Physics - Phenomenology · Physics 2009-10-31 Matthias Burkardt , Nikolai Uraltsev

An effective theory approach to heavy quarkonia decays based on the $1/m_Q$ expansion is introduced. Its application to decays in which the two heavy quarks annihilate is discussed.

High Energy Physics - Phenomenology · Physics 2007-05-23 Thomas Mannel

A mini-review of the heavy mass expansion in QCD is given. We focus on exclusive semileptonic decays and some topics of recent interest in inclusive decays of heavy hadrons.

High Energy Physics - Phenomenology · Physics 2009-10-28 Thomas Mannel
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