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QCD Laplace sum-rules for light-quark I=0,1 scalar currents are used to investigate candidates for the lightest $q\bar q$ scalar mesons. The theoretical predictions for the sum-rules include instanton contributions which split the…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. G. Steele , Fang Shi , V. Elias

A QCD Laplace sum rule framework is employed to investigate the relationship between the mass and the decay width of the sigma, the lowest-lying isoscalar resonance in the spin-zero meson channel. Our analysis differs from prior analyses,…

High Energy Physics - Phenomenology · Physics 2008-02-03 V. Elias , A. H. Fariborz , Fang Shi , T. G. Steele

A Hoelder inequality analysis of the QCD Laplace sum-rule which probes the non-strange (n\bar n) components of the I={0,1} (light-quark) scalar mesons supports the methodological consistency of an effective continuum contribution from…

High Energy Physics - Phenomenology · Physics 2008-11-26 Fang Shi , T. G. Steele , V. Elias , K. B. Sprague , Ying Xue , A. H. Fariborz

We review the analysis of the quark and gluon substructures of the scalar mesons from QCD spectral sum rules and some low-energy theorems applied to the scalar QCD anomaly current. The present data favour equal components of \bar uu+ \bar…

High Energy Physics - Phenomenology · Physics 2008-11-26 Stephan Narison

We apply QCD Finite Energy Sum Rules to the scalar-isoscalar current to determine the lightest $u \bar{u} + d \bar{d}$ meson in this channel. We use `pinch-weights' to improve the reliability of the QCD predictions and reduce the…

High Energy Physics - Phenomenology · Physics 2016-09-06 S. N. Cherry , M. R. Pennington

In this paper, we reanalyze the $I=0$ scalar channel with the improved Monte-Carlo based QCD sum rules, which combines the rigorous H\"older-inequality-determined sum rule window and a two Breit-Wigner type resonances parametrization for…

High Energy Physics - Phenomenology · Physics 2017-08-09 Jia-Min Yuan , Zhu-Feng Zhang , T. G. Steele , Hong-Ying Jin , Zhuo-Ran Huang

We review our estimations on the light scalar $\bar{q}q$, $(\bar{q}q')(\bar{q'}q)$ and $\overline{qq'}qq'$ ($q,q'\equiv u,d,s$) states from relativistic Laplace sum rule (LSR) within stability criteria and including higher order…

High Energy Physics - Phenomenology · Physics 2025-10-14 R. M. Albuquerque , S. Narison , D. Rabetiarivony

There is a need to go beyond the narrow resonance approximation for QCD sum-rule channels which are likely to exhibit sensitivity to broad resonance structures. We first discuss how the first two Laplace sum rules are altered when one goes…

High Energy Physics - Phenomenology · Physics 2011-09-13 A. S. Deakin , V. Elias , A. H. Fariborz , Ying Xue , Fang Shi , T. G. Steele

QCD sum-rules are related to an integral of a hadronic spectral function, and hence must satisfy integral inequalities which follow from positivity of the spectral function. Development of these Holder inequalities and their application to…

High Energy Physics - Phenomenology · Physics 2009-11-07 T. G. Steele

We study the lowest-lying scalar mesons in the QCD sum rule by considering them as tetraquark states. We find that there are five independent currents for each state with a certain flavor structure. By forming linear combinations, we find…

High Energy Physics - Phenomenology · Physics 2011-11-10 Hua-Xing Chen , Atsushi Hosaka , Shi-Lin Zhu

We construct QCD sum rules for nonperturbative studies without assuming the quark-hadron duality for the spectral density at low energy on the hadron side. Instead, both resonance and continuum contributions to the spectral density are…

High Energy Physics - Phenomenology · Physics 2021-01-04 Hsiang-nan Li , Hiroyuki Umeeda

We review our results on light scalar quarkonia ($\bar{q}q$ and four-quark states) from (inverse) QCD Laplace sum rules (LSR) and their ratios ${\cal R}$ within stability criteria and including higher order perturbative (PT) corrections up…

High Energy Physics - Phenomenology · Physics 2024-10-14 R. M. Albuquerque , S. Narison , D. Rabetiarivony

Although marginally more complicated than the traditional Laplace sum-rules, Gaussian sum-rules have the advantage of being able to probe excited and ground states with similar sensitivity. Gaussian sum-rule analysis techniques are applied…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Harnett , T. G. Steele

We examine the interpretation of the light scalar meson nonet as tetraquark states using QCD sum rules. With the interpolating current for the tetraquark states composed of scalar diquark and scalar antidiquark, first, we construct the QCD…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hee-Jung Lee

We study the light scalar mesons in the QCD sum rule. We find that there are five independent scalar tetraquark currents in the local form, and we perform QCD sum rule analysis using both these currents and their combinations. Compared with…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hua-Xing Chen , Atsushi Hosaka , Shi-Lin Zhu

We check quantitatively the validity of some popular phenomenological approaches of QCD in simple models. Dispersion sum rules are considered within the ladder approximation of a field-theoretic model with OPE given by ordinary loop…

High Energy Physics - Phenomenology · Physics 2008-02-03 A. A. Penin , A. A. Pivovarov

We compare two widely used approaches to the description of hadron properties: QCD sum rules and constituent quark models. Making use of the dispersion formulation of the quark model, we show that both approaches lead to similar spectral…

High Energy Physics - Phenomenology · Physics 2009-11-10 Dmitri Melikhov , Silvano Simula

Using the QCD sum rule approach we investigate the possible four-quark structure for the new observed $B_{s}^0\pi^\pm$ narrow structure (D0). We use a diquak-antidiquark scalar current and work to the order of $m_s$ in full QCD, without…

High Energy Physics - Phenomenology · Physics 2016-06-01 C. M. Zanetti , M. Nielsen , K. P. Khemchandani

QCD Laplace sum-rules are briefly reviewed and two sum-rule applications are presented. For scalar gluonium, upper bounds on the lightest state are obtained from ratios of Laplace sum-rules, and the role of instantons and the low-energy…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. G. Steele , D. Harnett

We discuss how the a_0(980), f_0(980), K^*_0(1430) and particularly the broad sigma resonance can be understood within a coupled channel framework, which includes all light two-pseudoscalar thresholds together with constraints from Adler…

High Energy Physics - Phenomenology · Physics 2009-10-31 N. A. Tornqvist , A. D. Polosa
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