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We have obtained explicit integral expressions for the sums of inverse powers of the eigenvalues of the Laplacian on a unit sphere, in presence of an arbitrary variable density. The exact expressions for the sum rules are obtained by…

Mathematical Physics · Physics 2020-01-08 Paolo Amore

We revisit QCD calculations of radiative heavy meson decay form factors by including the subleading power corrections from the twist-two photon distribution amplitude at next-to-leading-order in $\alpha_s$ with the method of the light-cone…

High Energy Physics - Phenomenology · Physics 2020-02-11 Hua-Dong Li , Cai-Dian Lü , Chao Wang , Yu-Ming Wang , Yan-Bing Wei

We consider the lightcone sum-rule (LCSR) description of the pion-photon transition form factor in combination with the renormalization group of QCD. The emerging scheme represents a certain version of Fractional Analytic Perturbation…

High Energy Physics - Phenomenology · Physics 2019-11-21 C. Ayala , S. V. Mikhailov , A. V. Pimikov , N. G. Stefanis

A new relation between $\rho$-meson mass, weak $\pi$-meson decay constant, quark and gluon condensates is derived from the QCD sum rules. As a byproduct an explanation for the dominance of $\rho\rho$-decay for the $f_0(1370)$-meson is…

High Energy Physics - Phenomenology · Physics 2009-11-11 S. S. Afonin

We apply the method of QCD sum rules in the presence of external electromagnetic fields $F_{\mu\nu}$ to the problem of the electromagnetic decays of various vector mesons, such as $\rho\to\pi\gamma$, $K^\ast\to K\gamma$ and…

Nuclear Theory · Physics 2009-10-31 Shi-lin Zhu , W. -Y. P. Hwang , Ze-sen Yang

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 scalar and vectorial self energies obtained through QCD sum rules are introduced in the Quantum Hadrodynamics (QHD) equations. This QHD and QCD mixing show us that the effect of the density on the coupling constants is very small.

Nuclear Theory · Physics 2007-05-23 L. A. Barreiro

Applications of QCD sum-rule methods to the physics of nuclei are reviewed, with an emphasis on calculations of baryon self-energies in infinite nuclear matter. The sum-rule approach relates spectral properties of hadrons propagating in the…

High Energy Physics - Phenomenology · Physics 2016-09-01 T. D. Cohen , R. J. Furnstahl , D. K. Griegel , Xuemin Jin

We derive a QCD sum rule for the inverse moment of the $B_s$-meson light-cone distribution amplitude in HQET. Within this method, the $SU(3)_{fl}$ symmetry violation is traced to the strange quark mass and to the difference between strange…

High Energy Physics - Phenomenology · Physics 2020-10-09 Alexander Khodjamirian , Rusa Mandal , Thomas Mannel

We explore, by a rather peculiar limit of QCD sum rules subject to a Borel transformation (realized by allowing the related Borel mass parameter to approach infinity), how the small difference of the masses of up and down quark translates…

High Energy Physics - Phenomenology · Physics 2019-06-20 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

Laplace transform QCD sum rules for two-point functions related to the strangeness-changing scalar and pseudoscalar Green's functions $\psi(Q^2)$ and $\psi_5(Q^2)$, are used to determine the subtraction constants $\psi(0)$ and $\psi_5(0)$,…

High Energy Physics - Phenomenology · Physics 2009-11-07 C. A. Dominguez , A. Ramlakan , K. Schilcher

Using $1/N_C$ expansion and dispersion theory techniques, without relying on any explicit resonance lagrangian, we generalize the KSRF relation beyond the leading chiral order. Two sum rules for the low energy constants $L_2$, $L_3$ and a…

High Energy Physics - Phenomenology · Physics 2010-10-27 Z. H. Guo , J. J. Sanz Cillero , H. Q. Zheng

We review recent developments in QCD sum rule applications to semileptonic B->pi and D->pi transitions.

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Rückl , S. Weinzierl , O. Yakovlev

A set of well known chiral sum rules, expected to be valid in QCD, is confronted with experimental data on the vector and axial-vector hadronic spectral functions, obtained from tau-lepton decay by the ALEPH collaboration. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. A. Dominguez , K. Schilcher

We suggest a new approach for calculating heavy-to-light form factors. The method is based on light cone sum rules (LCSR) and covers the whole kinematical range of momentum transfer. The derivation of the new sum rule uses a suitable…

High Energy Physics - Phenomenology · Physics 2010-02-03 Stefan Weinzierl , Oleg Yakovlev

The extraction of the light hadron spectrum from a first-principle Quantum Chromodynamics approach is a profound application for lattice simulations of Quantum Chromodynamics. This review will cover recent lattice results for the masses and…

High Energy Physics - Lattice · Physics 2015-03-13 Enno E. Scholz

QCD finite energy sum rules, together with the latest updated ALEPH data on hadronic decays of the tau-lepton are used in order to determine the vacuum condensates of dimension $d=2$ and $d=4$. These data are also used to check the validity…

High Energy Physics - Phenomenology · Physics 2015-06-23 C. A. Dominguez , L. A. Hernandez , K. Schilcher , H. Spiesberger

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

We briefly report the modern status of heavy quark sum rules (HQSR) based on stability criteria by emphasizing the recent progresses for determining the QCD parameters (alpha_s, m_{c,b} and gluon condensates)where their correlations have…

High Energy Physics - Phenomenology · Physics 2021-02-01 Stephan Narison

QCD sum rules are evaluated at finite nucleon densities and temperatures to determine the change of mass parameters for the lightest vector mesons $\rho$, $\omega$ and $\phi$ in a strongly interacting medium. For conditions relevant for the…

Nuclear Theory · Physics 2008-11-26 S. Zschocke , O. P. Pavlenko , B. Kampfer