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We review the current status of heavy quark symmetry and its applications to weak decays of hadrons containing a single heavy quark. After an introduction to the underlying physical ideas, we discuss in detail the formalism of the heavy…

High Energy Physics - Phenomenology · Physics 2010-11-01 Matthias Neubert

We address the problem of extrapolating the vector form factor $f_{B\pi}^+$, which is relevant to $B\to \pi\ell \nu_\ell$ decays, from the region of small to the region of large momentum transfer. As input, we use the QCD light-cone sum…

High Energy Physics - Phenomenology · Physics 2015-03-06 I. Sentitemsu Imsong , Alexander Khodjamirian , Thomas Mannel , Danny van Dyk

We formulate a partonic description of hadronic gravitational form factors within QCD, focusing on the three-point function of the energy-momentum tensor and two gluon currents. Despite the lack of exact conformal symmetry in QCD, the…

High Energy Physics - Phenomenology · Physics 2026-03-31 Claudio Corianò , Stefano Lionetti , Dario Melle , Leonardo Torcellini

I discuss aspects of the QCD sum rule method which attracted theorists' attention in earnest at a relatively late stage and are not yet fully solved. At first I briefly review such general topics as the structure of the operator product…

High Energy Physics - Phenomenology · Physics 2015-03-17 M. Shifman

The concept of QCD sum rules is extended to bound states composed of particles with finite mass such as scalar quarks or strange quarks. It turns out that mass corrections become important in this context. The number of relevant corrections…

High Energy Physics - Phenomenology · Physics 2015-06-25 M. Meyer-Hermann , A. Schäfer , W. Greiner

In this paper we study QCD and power corrections to sum rules which show up in deep inelastic lepton-hadron scattering. Furthermore we will make a distinction between fundamental sum rules which can be derived from quantum field theory and…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. Ravindran , W. L. van Neerven

QCD sum rules involving mixed inverse moment integration kernels are used in order to determine the running charm-quark mass in the $\bar{MS}$ scheme. Both the high and the low energy expansion of the vector current correlator are involved…

High Energy Physics - Phenomenology · Physics 2011-04-22 S. Bodenstein , J. Bordes , C. A. Dominguez , J. Penarrocha , K. Schilcher

We study the $\gamma^* \gamma^*\to\eta_c$ transition form factor, $F_{\eta_c\gamma\gamma}(Q_1^2,Q_2^2),$ with the local-duality (LD) version of QCD sum rules. We analyse the extraction of this quantity from two different correlators,…

High Energy Physics - Phenomenology · Physics 2012-07-09 Wolfgang Lucha , Dmitri Melikhov

QCD sum rules are used to calculate the $q^2$ dependence of the $\pi NN$ coupling $g_{\pi NN} (q^2)$ in the spacelike region $0.5 \ {\mbox{GeV}}^2 \lesssim q^2 \lesssim 1.5\ {\mbox{GeV}}^2$. We study the Borel sum rule for the three point…

Nuclear Theory · Physics 2008-11-26 Thomas Meissner

QCD sum rules for the determination of form factors of $\Lambda_b$ and $\Lambda_c$ semileptonic decays are investigated. With a form for the baryonic current appropriate for the limits of the heavy quark symmetries, the different tensor…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. S. Marques de Carvalho , F. S. Navarra , M. Nielsen , E. Ferreira , H. G. Dosch

We use vector flavor symmetry to relate form factors of isospin changing operators to isovector form factors. Flavor twisted boundary conditions in lattice QCD thus allow isovector form factors of twist-two operators, e.g, to be computed at…

High Energy Physics - Lattice · Physics 2009-11-11 Brian C. Tiburzi

The present work introduces an efficient Monte Carlo algorithm for continuum percolation composed of randomly-oriented rectangles. By conducting extensive simulations, we report high precision percolation thresholds for a variety of…

Data Analysis, Statistics and Probability · Physics 2016-04-06 Jiantong Li , Mikael Östling

We use the QCD sum rules for the three point correlation functions to compute the strong coupling constants of the meson vertices $\eta_c D^* D$ and $\eta_c D_s^* D_s$. We consider perturbative and non-perturbative contributions, working up…

High Energy Physics - Phenomenology · Physics 2018-08-01 B. Osório Rodrigues , M. E. Bracco , C. M. Zanetti

In this article, we analyze the electromagnetic form factors of the vector heavy-light mesons to the pseudoscalar heavy-light mesons in the framework of three-point QCD sum rules, where the contributions of vacuum condensate terms…

High Energy Physics - Phenomenology · Physics 2024-04-16 Jie Lu , Guo-Liang Yu , Zhi-Gang Wang , Bin Wu

We examine the radiative $\Delta \to \gamma N$ transition at the real photon point $Q^2=0$ using the framework of light-cone QCD sum rules. In particular, the sum rules for the transition form factors $G_M(0)$ and $R_{EM}$ are determined up…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Rohrwild

We briefly review the key aspect of the QCD instanton vacuum in relation to the quantum breaking of conformal symmetry and the trace anomaly. We use Ji$^\prime s$ invariant mass decomposition of the energy momentum tensor together with the…

High Energy Physics - Phenomenology · Physics 2021-09-29 Ismail Zahed

The difference of vector and axial-vector charged current correlators is analyzed by means of QCD sum rules. The contribution of 10-dimensional 4-quark condensates is calculated and its value is estimated within the framework of…

High Energy Physics - Phenomenology · Physics 2009-11-10 K. N. Zyablyuk

The static-response function of strongly interacting neutron matter contains crucial information on this interacting many-particle system, going beyond ground-state properties. In the present work, we tackle this problem with quantum Monte…

Nuclear Theory · Physics 2021-05-19 Mateusz Buraczynski , Samuel Martinello , Alexandros Gezerlis

We observe that the linear potential used as a leading approximation for describing color confinement in the instant form of dynamics corresponds to a quadratic confining potential in the front form of dynamics. In particular, the…

High Energy Physics - Phenomenology · Physics 2014-10-22 Arkadiusz P. Trawiński , Stanisław D. Głazek , Stanley J. Brodsky , Guy F. de Téramond , Hans Günter Dosch

We describe the calculation of integrated subtraction terms in the nested soft-collinear subtraction scheme for hadron collider processes with quarks and gluons, thereby extending the results presented in Ref.$~$[1]. Although this extension…

High Energy Physics - Phenomenology · Physics 2025-03-20 Federica Devoto , Kirill Melnikov , Raoul Röntsch , Chiara Signorile-Signorile , Davide Maria Tagliabue , Matteo Tresoldi