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In the QCD Sum Rule determination of $m_s$ using the two-point correlator of divergences of $\Delta S=1$ vector currents, the final uncertainty on $m_s$ is mainly due to the hadronic spectral function. Using a specific parameterization…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. Colangelo , F. De Fazio , G. Nardulli , N. Paver

We present a comprehensive analysis of the bottom-charmed ($B_c$) meson spectrum within the inverse matrix QCD sum rules formalism. In this framework, conventional QCD sum rules are recast as an inverse problem, allowing for the direct…

High Energy Physics - Phenomenology · Physics 2026-02-27 Halil Mutuk , Duygu Yıldırım

We investigate sum-rules applying to the Raman intensity in a strongly correlated system close to the Mott transition. Quite generally, it can be shown that, provided the frequency integration is performed up to a cutoff smaller than the…

Strongly Correlated Electrons · Physics 2008-09-18 L. de' Medici , A. Georges , G. Kotliar

One of the advantages of the finite energy sum rules is the fact that every operator in the operator product expansion series can be selected individually by the use of an appropriate kernel function which removes other operator poles. This…

High Energy Physics - Phenomenology · Physics 2020-09-01 Cristian Villavicencio , C. A. Dominguez , M. Loewe

In this work, we explore the ground state mass spectrum of the bottom-charm baryon states in the framework of the QCD sum rules in a comprehensive way. In calculations, we distinguish the contributions of the positive-parity and…

High Energy Physics - Phenomenology · Physics 2022-06-13 Zhi-Gang Wang , Qi Xin

Sum rules are elegant formulas that relate entropy functionals to coefficients associated with orthogonal polynomials [Sim11]. In a series of paper (see for example [GNR16], [GNR17], [BSZ18a], [BSZ18b]), interesting connections have been…

Probability · Mathematics 2025-10-20 Fabrice Gamboa , Jan Nagel , Alain Rouault

We consider the problem of estimating a vector of unknown constant parameters for a class of hybrid dynamical systems -- that is, systems whose state variables exhibit both continuous (flow) and discrete (jump) evolution. Using a hybrid…

Optimization and Control · Mathematics 2023-08-16 Ryan S. Johnson , Stefano Di Cairano , Ricardo G. Sanfelice

We derive new QCD sum rules for the axial coupling constants by considering two-point correlation functions of the axial-vector currents in a one nucleon state. The QCD sum rules tell us that the axial coupling constants are expressed by…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Nishikawa , S. Saito , Y. Kondo

We review some recent applications of QCD sum rules to $B$-decays. These include the determination of the leptonic constant $f_B$ and of the semileptonic transition amplitudes of the $B$-meson into negative and positive parity charmed…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. Colangelo , G. Nardulli , N. Paver

We perform a systematic study of the masses of charmed and bottom baryons in the framework of the QCD sum rule approach. Contributions of the operators up to dimension six are included in operator product expansion. The resulting heavy…

High Energy Physics - Phenomenology · Physics 2009-02-10 Jian-Rong Zhang , Ming-Qiu Huang

A comprehensive study is made for the magnetic moments of octet baryons in the method of QCD sum rules. A complete set of QCD sum rules is derived using the external field method and generalized interpolating fields. For each member, three…

High Energy Physics - Phenomenology · Physics 2008-11-26 Lai Wang , Frank X. Lee

In this article, the tensor-vector-pseudoscalar type of vertex is analyzed with the QCD sum rules and the local-QCD sum rules. Correspondingly, the hadronic coupling constants of D2*(2460), Ds2*(2573), B2*(5747) and Bs2*(5840), and their…

High Energy Physics - Phenomenology · Physics 2016-03-01 Zhen-Yu Li , Zhi-Gang Wang , Guo-Liang Yu

We present the outcomes of a very recent investigation of the decay constants of nonstrange and strange heavy-light beauty vector mesons, with special emphasis on the ratio of any such decay constant to the decay constant of the…

High Energy Physics - Phenomenology · Physics 2016-01-26 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

Infinite sets of sum rules involving the excitations of infinite nuclear matter are derived using only completeness, the current algebra implicit in QCD, and relativistic covariance. The sum rules can be used for isospin-asymmetric nuclear…

Nuclear Theory · Physics 2007-05-23 Thomas D. Cohen , Wojciech Broniowski

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

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

The tensor susceptibility of QCD vacuum is calculated in the global color symmetry model. The input parameters for gluon propagators are determined via the simplified equation for calculating the pion decay constant. The reason for the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hongting Yang

We show that renormalization group improvement, making use of analyticity and the structure of the operator product expansion, combined with a non-perturbative expansion method allows one to describe quarkonium states via QCD sum rules…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. F. Jones , A. Ritz , I. L. Solovtsov

We derive sum rules among scalar masses for various boundary conditions of the hidden-visible couplings in the presence of hidden sector dynamics and show that they still can be useful probes of the MSSM and beyond.

High Energy Physics - Phenomenology · Physics 2010-04-21 Yoshiharu Kawamura , Teppei Kinami , Takashi Miura

Exploiting recently proposed novel improvements of the techniques used for extracting from QCD sum rules pivotal hadron characteristics, including their systematic errors, we succeed to achieve a conspicuous agreement of the predictions of…

High Energy Physics - Phenomenology · Physics 2014-04-15 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula
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