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The short-time regime of QCD two-point correlation functions is examined through a QCD-Sum-Rule-inspired continuum model. QCD Sum Rule techniques are tested and alternate nucleon interpolating fields are discussed. The techniques presented…

High Energy Physics - Lattice · Physics 2009-10-22 Derek B. Leinweber

If connecting properties of a multiquark hadron with those exhibited by its constituents, QCD sum rules inferred along the routes of traditional wisdom necessarily involve contributions not related at all to and thus not presenting…

High Energy Physics - Phenomenology · Physics 2022-06-16 Wolfgang Lucha , Dmitri Melikhov , Hagop Sazdjian

Recently, Son and Stephanov have considered an "open moose" as a possible dual model of a QCD-like theory of chiral symmetry breaking. In this note we demonstrate that although the Weinberg sum rules are satisfied in any such model, the…

High Energy Physics - Phenomenology · Physics 2010-02-03 R. Sekhar Chivukula , Masafumi Kurachi , Masaharu Tanabashi

In these lectures, I describe the techniques used within the QCD sum rule approach. The basic concepts of the approach are introduced using a simple model of quantum-mechanical oscillator in 2+1 dimensions. Then I discuss their…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Radyushkin

In the past decade, due to the experimental observation of many charmonium-like states, there has been a revival of hadron spectroscopy. In particular, the experimental observation of charged charmonium-like, $Z_c$ states, and…

QCD sum rules for positive and negative parity heavy baryons in the heavy quark limit are formulated. We apply the method to $\Lambda$ and $\Sigma$ channels. We include the next-to-leading order corrections in $\alpha_s$-expansion to…

High Energy Physics - Phenomenology · Physics 2024-04-16 Tetsuo Nishikawa , Yoshihiko Kondo , Yoshiko Kanada-En'yo

Exploiting Virasoro constraints on the effective finite-volume partition function, we derive generalized Leutwyler-Smilga spectral sum rules of the Dirac operator to high order. By introducing $N_v$ fermion species of equal masses, we next…

High Energy Physics - Theory · Physics 2009-10-31 P. H. Damgaard , K. Splittorff

We apply the method of QCD sum rules to study the $s s \bar s \bar s$ tetraquark states of $J^{PC} = 0^{-+}$. We construct all the relevant $s s \bar s \bar s$ tetraquark currents, and find that there are only two independent ones. We use…

High Energy Physics - Phenomenology · Physics 2021-02-03 Rui-Rui Dong , Niu Su , Hua-Xing Chen , Er-Liang Cui , Zhi-Yong Zhou

We sketch a recent sum-rule extraction of the decay constants of the heavy pseudoscalar mesons D, D_s, B, and B_s from the two-point correlator of heavy-light pseudoscalar currents [1]. Our main emphasis lies on the control over all the…

High Energy Physics - Phenomenology · Physics 2011-02-01 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

QCD sum rule is applied to the pentaquark spectroscopy. It is concluded that no positive parity state is seen in low energy region, while there may exist negative parity states at around 1.5 GeV. Choice of interpolating local operators and…

High Energy Physics - Phenomenology · Physics 2017-08-23 Makoto Oka

Though the operator product expansion is applicable in the calculation of current correlation functions in the Euclidean region, when approaching the Minkowskian domain, violations of quark-hadron duality are expected to occur, due to the…

High Energy Physics - Phenomenology · Physics 2015-05-27 Matthias Jamin

We revisit the sum-rule extraction of the decay constants of the D, Ds, B, and Bs mesons from the two-point correlator of heavy-light pseudoscalar currents. We use the operator product expansion for this correlator expressed in terms of the…

High Energy Physics - Phenomenology · Physics 2011-08-11 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

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

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 present a new framework for the extraction of the strong coupling from hadronic \tau decays through finite-energy sum rules. Our focus is on the small, but still significant non-perturbative effects that, in principle, affect both the…

High Energy Physics - Phenomenology · Physics 2013-05-29 Diogo Boito , Oscar Cata , Maarten Golterman , Matthias Jamin , Kim Maltman , James Osborne , Santiago Peris

We point out that naive pentaquark correlations function include two-hadron-reducible contributions, which are given by convolution of baryon and meson correlation functions and have nothing to do with pentaquark. We show that the…

High Energy Physics - Phenomenology · Physics 2010-04-05 Yoshihiko Kondo , Osamu Morimatsu , Tetsuo Nishikawa

We show that the controversies on the gauge dependence and the infrared singularity emerged in the generalized factorization approach for nonleptonic heavy meson decays within the framework of the operator product expansion can be resolved…

High Energy Physics - Phenomenology · Physics 2009-10-31 Hai-Yang Cheng , Hsiang-nan Li , Kwei-Chou Yang

Motivated by the LHCb-group discovery of exotic hadrons in the range (6.2 $\sim$ 6.9) GeV, we present new results for the masses and couplings of $0^{++}$ fully heavy $(\bar{Q}Q)(Q\bar{Q})$ molecules and $(QQ)(\overline{QQ})$ tetraquaks…

High Energy Physics - Phenomenology · Physics 2021-02-18 R. M. Albuquerque , S. Narison , A. Rabemananjara , D. Rabetiarivony , G. Randriamanatrika

Revisiting the QCD sum-rule description of exotic hadron states, we argue that, in order to arrive at trustable analyses of, for instance, strong decay widths of multiquarks, it is inevitable to adopt the QCD sum-rule approach beyond the…

High Energy Physics - Phenomenology · Physics 2017-03-27 Wolfgang Lucha , Dmitri Melikhov

For special kinematic configurations involving a single momentum scale, certain standard relations, originating from the Slavnov-Taylor identities of the theory, may be interpreted as ordinary differential equations for the ``kinetic term''…

High Energy Physics - Phenomenology · Physics 2020-10-28 A. C. Aguilar , M. N. Ferreira , J. Papavassiliou
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