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Related papers: Light-quark masses and renormalons

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A visible improvement of the QCD sum-rule framework, achieved only recently by a slightly more sophisticated consideration of the hadron excitations and continuum, is applied to the extraction of the decay constants of heavy-light…

High Energy Physics - Phenomenology · Physics 2012-06-05 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We evaluate lower bounds on the sum of the up and down quark masses. The bounds follow from the constraints provided by the dispersion relation obeyed by the two--point function of the scalar current density when combined with properties of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Alexandre Dominguez-Clarimon , Eduardo de Rafael , Josep Taron

Within the realm of QCD sum rules, one of the most important areas of application of this nonperturbative approach is the prediction of the decay constants of heavy mesons. However, in spite of the fact that, indisputably, the adopted…

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

The concept of QCD sum rules is extended to bound states composed of particles with finite mass such as scalar quarks or strange quarks. It turns out that mass corrections become important in this context. The number of relevant corrections…

High Energy Physics - Phenomenology · Physics 2015-06-25 M. Meyer-Hermann , A. Schäfer , W. Greiner

We reanalyze the perturbative QCD (pQCD) corrections to quarkonium QCD sum rules and extract the heavy quark masses $\overline{m}_{q}(\overline{m}_{q})$ ($q=c,b$). At present, the pQCD corrections to the correlation functions of two…

High Energy Physics - Phenomenology · Physics 2026-05-11 Qing Yu , Hua Zhou , Xing-Gang Wu

We discuss a calculation of large-Nc masses of light scalar mesons from the QCD sum rules. Two methods based on the use of linear radial Regge trajectories are presented. We put a special emphasis on the appearance of pole near 0.5 GeV in…

High Energy Physics - Phenomenology · Physics 2018-05-30 S. S. Afonin , T. D. Solomko

We present a sum-rule extraction of the decay constants of heavy-light mesons from the two-point correlator of pseudoscalar currents. To this end, we compare the perturbative expansions for the correlator and the decay constant performed in…

High Energy Physics - Phenomenology · Physics 2011-04-07 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

The calculations of masses and decay constants of the radial excitations of light pseudoscalar and scalar mesons within QCD sum rules method are briefly reviewed. The predictions are based on the $1/N_c$-supported model spectra, which…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. L. Kataev

The basis of renormalon calculus is briefly discussed. The method is applied to study QCD predictions for three sum rules of deep-inelastic scattering, namely for the Gross-Llewellyn Smith, Bjorken polarized and unpolarized sum rules. It is…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. L. Kataev

The standard procedure to determine (analytically) the values of the quark masses is to relate QCD two-point functions to experimental data in the framework of QCD sum rules. In the case of the light quark sector, the ideal Green function…

High Energy Physics - Phenomenology · Physics 2010-11-23 C. A. Dominguez

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

We consider bounds on light quark masses that follow from positivity of the pseudoscalar correlator spectral function plus the assumption that perturbative QCD is valid for the correlator and its derivatives up to order $N$ for momenta…

High Energy Physics - Phenomenology · Physics 2011-02-01 F. J. Yndurain

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 study the value of the light quark masses combination $m_u+m_d$ in QCD using both Finite Energy Sum Rules and Laplace Sum Rules. We have performed a detailed analysis of both the perturbative QCD and the hadronic parametrization inputs…

High Energy Physics - Phenomenology · Physics 2008-11-26 Johan Bijnens , Joaquim Prades , Eduardo de Rafael

In this work, we determine up/down-quark mass $m_{q=u/d}$ in the isoscalar scalar channel from both the Shifman-Vainshtein-Zakharov (SVZ) and the Monte-Carlo-based QCD sum rules. The relevant spectral function, including the contributions…

High Energy Physics - Phenomenology · Physics 2021-09-29 Fang-Hui Yin , Wen-Ya Tian , Liang Tang , Zhi-Hui Guo

The large-$N_c$ masses of light vector, axial, scalar and pseudoscalar mesons are calculated from QCD spectral sum rules for a particular ansatz interpolating the radial Regge trajectories. The ansatz includes a linear part plus…

High Energy Physics - Phenomenology · Physics 2018-05-08 S. S. Afonin , T. D. Solomko

The QCD up- and down-quark masses are determined from an optimized QCD Finite Energy Sum Rule (FESR) involving the correlator of axial-vector current divergences. In the QCD sector this correlator is known to five loop order in perturbative…

High Energy Physics - Phenomenology · Physics 2019-02-20 C. A. Dominguez , A. Mes , K. Schilcher

In this work, the mass of the strange quark is calculated from QCD sum rules for the divergence of the strangeness-changing vector current. The phenomenological scalar spectral function which enters the sum rule is determined from our…

High Energy Physics - Phenomenology · Physics 2008-11-26 Matthias Jamin , Jose Antonio Oller , Antonio Pich

We review the present status for the determinations of the light and heavy quark masses, the light quark chiral condensate and the decay constants of light and heavy-light (pseudo)scalar mesons from QCD spectral sum rules (QSSR). Bounds on…

High Energy Physics - Phenomenology · Physics 2009-09-29 Stephan Narison

We study the light scalar mesons in the QCD sum rule. We construct both the diquark-antidiquark currents $(qq)(\bar q \bar q)$ and the meson-meson currents $(\bar qq)(\bar qq)$. We find that there are five independent currents for both…

High Energy Physics - Phenomenology · Physics 2008-12-18 Hua-Xing Chen , Atsushi Hosaka , Shi-Lin Zhu
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