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In these lectures, I present several important applications of QCD sum rules to the decay processes involving heavy-flavour hadrons. The first lecture is introductory. As a study case, the sum rules for decay constants of the heavy-light…

High Energy Physics - Phenomenology · Physics 2013-12-24 Alexander Khodjamirian

There now exist several theoretical technologies for treating weak decays of heavy flavour hadrons that are genuinely based on QCD without having to invoke a deus ex machina. I focus on one of those, which employs an expansion in inverse…

High Energy Physics - Phenomenology · Physics 2016-09-01 Ikaros I. Bigi

In the heavy quark limit, hadrons appear as eigenstates of the light degrees of freedom under the static color field of the heavy quark. In this formalism, the weak form factors appear naturally as the overlaps of the initial and final…

High Energy Physics - Phenomenology · Physics 2009-10-28 Chi-Keung Chow

We consider the small velocity sum rules for heavy flavour semileptonic transitions that are used to estimate the zero recoil values of semileptonic heavy flavour form factors. We analyze the complete O($\alpha _S$) radiative correction to…

High Energy Physics - Phenomenology · Physics 2016-08-15 J. G. Körner , K. Melnikov , O. Yakovlev

We present a summary update of the QCD spectral sum rule (QSSR) results for the running and {\it perturbative pole} quark masses, the $f_D$ and $f_B$ leptonic decay constants, the heavy-to-light and heavy-to-heavy exclusive transition-form…

High Energy Physics - Phenomenology · Physics 2008-02-03 Stephan Narison

Achievements in the heavy quark theory over the last decade are reviewed, with the main emphasis put on dynamical methods which quantify nonperturbative effects via application of the Operator Product Expansion. These include the total weak…

High Energy Physics - Phenomenology · Physics 2016-11-23 Nikolai Uraltsev

We revisit QCD sum rules for the decay constants of heavy-light mesons. In the sum rules for the vector mesons B^*_(s) and D^*_(s) we improve the accuracy of OPE, taking into account the O(alpha_s^2) terms in the perturbative part and…

High Energy Physics - Phenomenology · Physics 2015-03-30 Patrick Gelhausen , Alexander Khodjamirian , Alexei A. Pivovarov , Denis Rosenthal

A theoretical framework is suggested for the calculation of gamma* N -> Delta transition form factors using the light-cone sum rule approach. Leading-order sum rules are derived and compared with the existing experimental data. We find that…

High Energy Physics - Phenomenology · Physics 2014-11-18 V. M. Braun , A. Lenz , G. Peters , A. V. Radyushkin

By considering that the weak currents and the electromagnetic current are members of the same SU(3) octet, two sum rules involving leading vector form factors in hyperon semileptonic decays are derived in the limit of exact flavor SU(3)…

High Energy Physics - Phenomenology · Physics 2017-05-24 Ruben Flores-Mendieta , Roberto Padron-Stevens

We derive light-cone sum rules (LCSRs) for exclusive B-meson decays into light energetic hadrons from correlation functions within soft-collinear effective theory (SCET). In these sum rules the short-distance scale refers to…

High Energy Physics - Phenomenology · Physics 2008-11-26 Fulvia De Fazio , Thorsten Feldmann , Tobias Hurth

The B --> pi ell nu weak decay form factors are calculated via light-cone sum rules within the framework of the heavy quark effective theory. We calculate the leading and the relevant sub-leading universal form factors. Our results are…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. G. Korner , Chun Liu , Chi-Tau Yan

The flavor $ud$ and $us$ pseudoscalar correlators are investigated using families of finite energy sum rules (FESR's) known to be very accurately satisfied in the isovector vector channel. It is shown that the combination of constraints…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kim Maltman , Joachim Kambor

We study semileptonic sum rules for $b \to c \tau \overline{\nu}$ transitions involving orbitally excited charm hadrons. Starting from the amplitude-level relation implied by the heavy quark symmetry, we construct sum rules relating these…

High Energy Physics - Phenomenology · Physics 2026-05-01 Motoi Endo , Syuhei Iguro , Satoshi Mishima

Applications of QCD sum rules to exclusive decays of heavy mesons are reviewed. In detail, we discuss the calculations of the B and $D$ decay constants, the heavy-to-light form factors $f^+(p^2)$ and $f^0(p^2)$, and the strong couplings…

High Energy Physics - Phenomenology · Physics 2016-11-03 A. Khodjamirian , R. Rückl

Uses of QCD sum rules for heavy flavoured hadrons are discussed. "Standard" applications such as the determination of the $b$, $c$ quark masses, the calculation of $f_B$, $f_D$ and of the heavy-to-light form factors are overviewed.…

High Energy Physics - Phenomenology · Physics 2011-01-25 Alexander Khodjamirian

Considering nonforward scattering amplitude off the heavy quark in the Small Velocity limit two exact superconvergent sum rules are derived. The first sum rule leads to the lower bound \rho^2 > 3/4 for the slope of the Isgur-Wise function.…

High Energy Physics - Phenomenology · Physics 2009-10-31 Nikolai Uraltsev

Isospin symmetry is the most precise flavor symmetry. In this work, we propose an approach to generate isospin sum rules for heavy hadron decays without the Wigner-Eckhart invariants. The effective Hamiltonian of heavy quark weak decay is…

High Energy Physics - Phenomenology · Physics 2023-05-11 Di Wang

Precision tests of the Standard Model and searches for New Physics in the quark flavor sector depend on accurate theoretical calculations of decay rates and spectra for rare, flavor-changing processes. The theoretical status and recent…

High Energy Physics - Phenomenology · Physics 2008-01-07 Matthias Neubert

The accurate calculation of weak heavy-to-light form factors is crucial for the determination of CKM matrix elements from experimental data on B decays. In SCET, the soft-collinear effective theory, these form factors can, in the heavy…

High Energy Physics - Phenomenology · Physics 2007-05-23 Patricia Ball

We review QCD sum rule applications to hadronic matrix elements of exclusive $B$ and $D$ decays. Results are presented for the form factors $f^+$ and $F_0$ of $B \rightarrow \pi$ and $D\rightarrow \pi$ transitions. The predictions are used…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Khodjamirian , R. Rückl
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