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This is a short review of the present status of the dynamics of the heavy quarks extracted from QCD spectral sum rules. We discuss the determination of the ``perturbative" quark mass, the decay constants of the $D$ and $B$ mesons, the form…

High Energy Physics - Phenomenology · Physics 2008-02-03 S. Narison

Taking into account the gluon correction contributions to the correlation function, the form factors relevant to the rare $B_c \rar X \nu\bar{\nu}$ decays are calculated in the framework of the three point QCD sum rules, where $X$ stands…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Azizi , R. Khosravi , V. Bashiry

We deduce momentum sum rules for the parton structure functions of a photon target. Non-perturbative QCD contribution to the momentum sum rules follows from conservation of the energy--momentum tensor and it is calculated through the…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. L. Frankfurt , E. G. Gurvich

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

We present a model-independent global analysis of hadronic form factors for the semileptonic decays $b\rightarrow c\ell\nu$ that exploits lattice-QCD data, dispersion relations, and heavy-quark symmetries. The analysis yields predictions…

High Energy Physics - Phenomenology · Physics 2019-11-20 Thomas D. Cohen , Henry Lamm , Richard F. Lebed

It has been shown, in the case of meson photoproduction, that the power-law falloff of these reactions can be described by lowest order (real) sum rules, at moderate momentum transfer. The phases of these processes, in this regime, are…

High Energy Physics - Phenomenology · Physics 2009-10-28 Claudio Coriano'

The method of QCD sum rules at finite temperature is reviewed, with emphasis on recent results. These include predictions for the survival of charmonium and bottonium states, at and beyond the critical temperature for de-confinement, as…

High Energy Physics - Phenomenology · Physics 2017-01-27 Alejandro Ayala , C. A. Dominguez , M. Loewe

We study the structure of local baryon fields using the method of QCD sum rule. We only consider the single baryon fields and calculate their operator product expansions. We find that the octet baryon fields belonging to the chiral…

High Energy Physics - Phenomenology · Physics 2012-10-24 Hua-Xing Chen

Regularities in the hadron interaction energies are used to obtain formulas relating the masses of ground-state hadrons, most of which contain heavy quarks. Inputs are the constituent quark model, the Feynman-Hellmann theorem, and the…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. B. Lichtenberg , R. Roncaglia , E. Predazzi

Partial sum rules are widely used in physics to separate low- and high-energy degrees of freedom of complex dynamical systems. Their application, though, is challenged in practice by the always finite spectrometer bandwidth and is often…

Other Condensed Matter · Physics 2009-11-13 A. B. Kuzmenko , D. van der Marel , F. Carbone , F. Marsiglio

Motivated by recent work on three-point QCD sum rules in heavy quark physics, we use the simple quantum mechanical models to study the basic issue of duality in three-point sum rules. We show that while in all of these models the duality in…

High Energy Physics - Phenomenology · Physics 2014-11-17 B. Blok , M. Lublinsky

Proton decay is a baryon number violating process, and hence is forbidden in the Standard Model (SM) of particle physics. Baryon number violation is expected to be an important criteria to explain the matter-anti-matter asymmetry of the…

High Energy Physics - Phenomenology · Physics 2022-07-13 Anshika Bansal , Namit Mahajan

The compatibility of the QCD sum rules and effective hadronic models predictions are examined. For this purpose we have considered the results for the nucleon self-energy in a dense hadronic environment provided by two independent QCD…

Nuclear Theory · Physics 2009-11-10 R. Aguirre

In spite of undeniable similarities of the applied techniques, somewhat different challenges are encountered when extracting, from QCD sum rules derived from two-point correlators of appropriate interpolating heavy-light quark currents, the…

High Energy Physics - Phenomenology · Physics 2014-11-26 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

Coupling constants of the pseudoscalar mesons to the octet baryons are calculated in the QCD sum rule approach. Two-point correlation function of the baryons are evaluated in a single meson state and the vacuum, which yields the designated…

High Energy Physics - Phenomenology · Physics 2011-07-19 Takumi Doi , Yoshihiko Kondo , Makoto Oka

We study a hypothetical $\Delta^0\Delta^0$ dibaryon state by means of QCD sum rule method. We construct a scalar interpolating current to extract the mass and decay constant of this state taking into account contributions of various quark,…

High Energy Physics - Phenomenology · Physics 2022-06-01 H. Mutuk , K. Azizi

We explicitly check quark-hadron duality to order $(m_b-m_c)\Lambda/m_b^2$ for $b \to c l\nu$ decays in the limit $m_b-m_c \ll m_b$ including ground state and orbitally excited hadrons. Duality occurs thanks to a new sum rule which…

High Energy Physics - Phenomenology · Physics 2016-09-06 A. Le Yaouanc , D. Melikhov , V. Morénas , L. Oliver , O. Pène , J. -C. Raynal

Our recently completed analysis of the decay constants of both pseudoscalar and vector beauty mesons reveals that in the bottom-quark sector two specific features of the sum-rule predictions show up: (i) For the input value of the…

High Energy Physics - Phenomenology · Physics 2014-11-26 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

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

We compute the decay constants of the lowest ccbar-states with quantum numbers J(PC)=0(-+) [eta_c], 1(--) [J/psi], and 1(+-) [hc] by using lattice QCD and QCD sum rules. We consider the coupling of J/psi to both the vector and tensor…

High Energy Physics - Phenomenology · Physics 2015-06-18 Damir Becirevic , Goran Duplancic , Bruno Klajn , Blazenka Melic , Francesco Sanfilippo