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We present a compact review of the status of QCD spectral sum rules until 2022. We emphasize the recent progresses for determining the QCD input parameters ($\alpha_s$, running quark masses, quark and gluon condensates) where their…

High Energy Physics - Phenomenology · Physics 2023-08-08 Stephan Narison

Within the QCD sum-rule approach in an external field, we calculate the baryon matrix element of isovector-scalar current, $H_{\rm B}=\langle B|\overline{u}u- \overline{d}d|B\rangle/2M_{\rm B}$, for octet baryons, which appears in the…

High Energy Physics - Phenomenology · Physics 2016-09-01 Xuemin Jin

The mass of the bottom quark is analyzed in the context of QCD finite energy sum rules. In contrast to the conventional approach, we use a large momentum expansion of the QCD correlator including terms to order \alpha…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Bordes , J. Penarrocha , K. Schilcher

This talk reviews the progress made in the determination of the light quark masses using lattice QCD and QCD sum rules. Based on preliminary calculations with three flavors of dynamical quarks, the lattice estimate is $m_s = 75(15)$ MeV, a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Rajan Gupta

In the present work, the doubly-charm and doubly-bottom pentaquark molecular states $D^{(*)}\Sigma_c^{(*)}$ and $B^{(*)}\Sigma_b^{(*)}$ are studied via the QCD sum rules. Sixteen color singlet-singlet type currents with the definite…

High Energy Physics - Phenomenology · Physics 2024-07-30 Xiu-Wu Wang , Zhi-Gang Wang

We study the P-wave charmed baryons using the method of QCD sum rule in the framework of heavy quark effective theory (HQET). We consider systematically all possible baryon currents with a derivative for internal rho- and lambda-mode…

High Energy Physics - Phenomenology · Physics 2015-03-27 Hua-Xing Chen , Wei Chen , Qiang Mao , Atsushi Hosaka , Xiang Liu , Shi-Lin Zhu

We present the first QCD spectral sum rules analysis of the SU(3) breaking parameter \xi and an improved estimate of the renormalization group invariant (RGI) bag constant \hat{B}_{B_q} both entering into the B^0_{d,s} - \bar{B}^0_{d,s}…

High Energy Physics - Phenomenology · Physics 2014-11-17 Kaoru Hagiwara , Stephan Narison , Daisuke Nomura

The mass and meson-current coupling of the diquark-antidiquark states with the quantum numbers $J^{P}=0^{+}$ and quark contents $Z_{q}=[cq][\bar {b} \bar q ]$ and $Z_{s}=[cs][\bar {b} \bar s]$ are calculated using two-point QCD sum rule…

High Energy Physics - Phenomenology · Physics 2017-02-22 S. S. Agaev , K. Azizi , H. Sundu

The light scalar meson sigma(600) is known to appear at low excitation energy with very large width on top of continuum states. We investigate it in the QCD sum rule as an example of resonance structures appearing above the corresponding…

High Energy Physics - Phenomenology · Physics 2010-06-25 Hua-Xing Chen , Atsushi Hosaka , Hiroshi Toki , Shi-Lin Zhu

Using the non-relativistic version of Borel sum rules, combined to the very accurate experimental information on the Charmonium and Upsilon spectra, we rigorously investigate the Euclidean mass of the Charm and Bottom quark. Our analysis is…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Chabab , R. Markazi , E. H. Saidi

In this work, we present a systematic calculation of the mass spectrum for tetraquark hybrid states, focusing on the $8_{[c\bar{c}]}\otimes 8_{[G]}\otimes 8_{[c\bar{c}]}$ color configuration, within the framework of QCD sum rules. As an…

High Energy Physics - Phenomenology · Physics 2025-11-25 Chun-Meng Tang , Chun-Gui Duan , Liang Tang , Cong-Feng Qiao

In this paper we compute the decay constant of the pseudo-scalar heavy-light mesons in the heavy quark effective theory framework of QCD sum rules. In our analysis we include the recently evaluated three-loop result of order $\alpha_s^2$…

High Energy Physics - Phenomenology · Physics 2011-01-27 A. A. Penin , M. Steinhauser

QCD sum rules for D and B mesons embedded in cold nuclear matter are evaluated. We quantify the mass splitting of D - D-bar and B - B-bar mesons as a function of the nuclear matter density; extrapolated to saturation density it is in the…

Nuclear Theory · Physics 2009-09-29 T. Hilger , R. Thomas , B. Kampfer

Recently, the BESIII Collaboration indicate that no $\Lambda_c\bar{\Sigma}_c$ bound-state with a mass near threshold in the range $4715$--$4735~\mathrm{MeV}$ was observed. In order to determine the plausible mass region of the states in…

High Energy Physics - Phenomenology · Physics 2026-05-05 Xuan-Heng Zhang , Cong-Feng Qiao

We apply the method of QCD sum rules to study the doubly heavy tetraquark states $QQ\bar{q}\bar{n}$ with spin-parity $J^{P}=1^{+}$ and strangeness $S=0, -1$ using careful estimates of the Borel and threshold parameters involved. Masses of…

High Energy Physics - Phenomenology · Physics 2023-08-15 Di Gao , Duojie Jia , Yan-Jun Sun

We consider the ratios of doubly heavy baryon masses using Double Ratios of Sum Rules (DRSR), which are more accurate than the usual simple ratios used for getting hadron masses. Our results are comparable with the ones from potential…

High Energy Physics - Phenomenology · Physics 2011-02-15 R. M. Albuquerque , S. Narison

In this article, we study the $J^{PC}=0^{++}$ and $2^{++}$ $QQ\bar{Q}\bar{Q}$ tetraquark states with the QCD sum rules, and obtain the predictions $M_{X(cc\bar{c}\bar{c},0^{++})} =5.99\pm0.08\,\rm{GeV}$, $M_{X(cc\bar{c}\bar{c},2^{++})}…

High Energy Physics - Phenomenology · Physics 2017-07-03 Zhi-Gang Wang

In this article, we assign the $D_{s3}^*(2860)$ to be a D-wave $c\bar{s}$ meson, and study the mass and decay constant of the $D_{s3}^*(2860)$ with the QCD sum rules by calculating the contributions of the vacuum condensates up to…

High Energy Physics - Phenomenology · Physics 2016-09-21 Zhi-Gang Wang

We present an extension of the QCD sum rule method in the external fields so as to determine the induced pseudoscalar coupling constant g_P, which tests the validity of the partially conserved axial current (PCAC) hypothesis. This is…

Nuclear Theory · Physics 2010-04-19 E. M. Henley , W-Y. P. Hwang , L. S. Kisslinger

New relations between QCD Borel sum rules for masses of Sigma^0 and Lambda hyperons are constructed. It is shown that starting from the sum rule for the Sigma^0 hyperon mass it is straightforward to obtain the corresponding sum rule for the…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Ozpineci S. B. Yakovlev V. S. Zamiralov