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Related papers: $2^{++}$ Di-gluonium from LSR at higher order

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We evaluate the next-to-leading (NLO) corrections to the perturbative (PT) and $< \alpha_s G^2>$ condensate and the LO constant term of the $< G^3 > $ contributions to the $2^{++}$ tensor di-gluonium two-point correlator. Using these…

High Energy Physics - Phenomenology · Physics 2023-09-06 S. Li , S. Narison , T. Steele , D. Rabetiarivony

We present an analysis of the light tensor ($J^{PC}=2^{++}$) hybrid meson mass and coupling from QCD Laplace Sum Rules where the next-to-leading order (NLO) perturbative (PT) corrections and the contributions of the non-perturbative (NP)…

High Energy Physics - Phenomenology · Physics 2026-03-27 Jason Ho , Robin Kleiv , Siyuan Li , Stephan Narison , Tom Steele , Davidson Rabetiarivony

Correlations between the QCD coupling \alpha_s, the gluon condensate < \alpha_s G^2 >, and the c,b-quark running masses m_c,b in the MS-scheme are explicitly studied (for the first time) from the (axial-)vector and (pseudo)scalar charmonium…

High Energy Physics - Phenomenology · Physics 2018-12-04 Stephan Narison

We revisit, scrutinize, improve, confirm and complete our previous results [1-3] from the scalar di-gluonium sum rules within the standard SVZ-expansion at N2LO without instantons and beyond the minimal duality ansatz : "one resonance + QCD…

High Energy Physics - Phenomenology · Physics 2023-08-08 Stephan Narison , LUPM , iHEPMAD

We employ renormalization group (RG) summation techniques to obtain portions of Laplace QCD sum rules for scalar gluon currents beyond the order to which they have been explicitly calculated. The first two of these sum rules are considered…

High Energy Physics - Phenomenology · Physics 2016-01-29 Farrukh Chishtie , T. G. Steele , D. G. C. McKeon

We scrutinize, improve some determinations of the masses and couplings of light scalar quarkonia ($\bar qq$ and four-quark states) and present new results for the $\pi^+\pi^-,K^+K^-,\dots$ molecules using QCD Laplace Sum Rule (LSR)…

High Energy Physics - Phenomenology · Physics 2023-08-08 R. Albuquerque , S. Narison , D. Rabetiarivony

We apply the diagrammatic renormalization method to the NLO analysis of the $2^{++}$ tensor di-gluonium channel within the QCD sum-rules approach. Diagrammatic renormalization eliminates non-local divergences directly, avoiding the…

High Energy Physics - Phenomenology · Physics 2025-04-17 T. de Oliveira , Siyuan Li , T. G. Steele

In this talk, I review the determinations of the QCD condensates and $\alpha_s$ within the SVZ expansion using the ratio of Laplace sum rule (LSR) and $\tau$-like moments in $e^+e^-\to I=1$ Hadrons and in $\tau\to \nu_\tau+$Hadrons…

High Energy Physics - Phenomenology · Physics 2025-08-08 Stephan Narison

We test the convergence of the QCD exponential moments by including PT corrections to order \alpha_s^3 and the NP contributions up to D=8 <G^4> condensates. Then, using the ratio of exponential sum rules where the QCD PT series is more…

High Energy Physics - Phenomenology · Physics 2015-05-28 Stephan Narison

I discuss the standard SVZ-expansion of the QCD two-point correlators in terms of the QCD vacuum condensates and beyond it due to a new unflavoured 1/Q^2-term (tachyonic gluon mass squared \lambda^2) which modelizes the effects of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stephan Narison

We calculate the next-to-leading order (NLO) $\alpha_s$-corrections to the contributions of the condensates $<\alpha G^2>$ and $<\bar qq>^2$ in the current-current correlator of the hybrid current $g\barq(x)\gamma_{\nu}iF_{\mu\nu}^aT^aq(x)$…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Y. Jin , J. G. Korner , T. G. Steele

We present a comprehensive next-to-leading order (NLO) QCD sum rule analysis for light hybrid mesons with $J^{PC}=1^{--}$, incorporating condensates up to dimension-8 and NLO corrections to the perturbative, gluon condensate, and four-quark…

High Energy Physics - Phenomenology · Physics 2026-02-04 Shuang-Hong Li , Zhuo-Ran Huang , Wei Chen , Hong-Ying Jin

The gauge invariant two-point correlator for the gluon field strength tensor is analysed by means of the QCD sum rule method. To this end, we make use of a relation of this correlator to a two-point function for a quark-gluon hybrid in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. G. Dosch , M. Eidemueller , M. Jamin

In holographic QCD the effects of gluonic condensate can be encoded in a suitable deformation of the 5D metric. We develop two different methods for the evaluation of first order perturbative corrections to masses and decay constants of…

High Energy Physics - Phenomenology · Physics 2011-03-28 Luigi Cappiello , Giancarlo D'Ambrosio

Gaussian QCD sum-rules are ideally suited to the study of mixed states of gluonium (glueballs) and quark ($q\bar q$) mesons because of their capability to resolve widely-separated states of comparable strength. The analysis of the Gaussian…

High Energy Physics - Phenomenology · Physics 2015-03-13 D. Harnett , R. T. Kleiv , K. Moats , T. G. Steele

We report results of our recent works [1,2] where we where the correlations between the c,b-quark running masses{m}_{c,b}, the gluon condensate<\alpha_s G^2> and the QCD coupling \alpha_s in the MS-scheme from an analysis of the charmonium…

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

We present the next-to-next-to-leading order QCD analysis of the Gross-Llewellyn Smith (GLS) sum rule in deep inelastic lepton-nucleon scattering, taking into account dimension-two, twist-four power correction. We discuss in detail the…

High Energy Physics - Phenomenology · Physics 2009-10-22 J. Chyla , A. Kataev

Higher-loop corrections to the pseudoscalar ($0^{-+}$) gluonium correlation function will be used to obtain the leading gluon condensate contributions to the subtraction-independent QCD sum-rules. The effect of these higher-loop corrections…

High Energy Physics - Phenomenology · Physics 2021-07-01 D. Asner , R. B. Mann , J. L. Murison , T. G. Steele

Using the PDG 22 compilation of the $e^+e^-\to$ Hadrons $\oplus$ the recent CMD3 data for the pion form factor and the value of gluon condensate $<\alpha_s G^2>$ from heavy quarkonia, we extract the value of the four-quark condensate :…

High Energy Physics - Phenomenology · Physics 2024-02-27 Stephan Narison

Alerted by the recent LHCb discovery of exotic hadrons in the range (6.2 -- 6.9) GeV, we present new results for the doubly-hidden scalar heavy $(\bar QQ) (Q\bar Q)$ charm and beauty molecules using the inverse Laplace transform sum rule…

High Energy Physics - Phenomenology · Physics 2023-08-08 R. M. Albuquerque , S. Narison , A. Rabemananjara , D. Rabetiarivony , G. Randriamanatrika
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