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The finite energy sum rule extraction of the strong coupling {\alpha}_s from hadronic {\tau} decay data provides one of its most precise experimental determinations. As precision improves, small non-perturbative effects become increasingly…

High Energy Physics - Lattice · Physics 2011-11-23 Diogo Boito , Oscar Catà , Maarten Golterman , Matthias Jamin , Kim Maltman , James Osborne , Santiago Peris

A QCD based effective action is constructed to describe the dynamics of confinement and symmetry breaking in the process of parton-hadron conversion. The deconfined quark and gluon degrees of freedom of the perturbative QCD vacuum are…

High Energy Physics - Phenomenology · Physics 2009-10-28 K. Geiger

The QCD vacuum condensates in the Operator Product Expansion are extracted from the final ALEPH data on vector and axial-vector spectral functions from $\tau$-decay. Weighted Finite Energy Sum Rules are employed in the framework of both…

High Energy Physics - Phenomenology · Physics 2010-10-27 C. A. Dominguez , K. Schilcher

The strong decays of the pseudoscalar and scalar double-charmed tetraquarks $ T_{cc;\overline{u}\overline{d}}^{+}$ and $\widetilde{T}_{cc;\overline{u} \overline{d}}^{+}$ are investigated in the framework of the QCD sum rule method. The mass…

High Energy Physics - Phenomenology · Physics 2019-06-26 S. S. Agaev , K. Azizi , H. Sundu

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

We report on the precision determination of the top-quark mass to next-to-next-to-leading order in QCD in well-defined renormalization schemes using data from the Large Hadron Collider for single-top and top-quark pair production. We also…

High Energy Physics - Phenomenology · Physics 2018-09-28 Sven-Olaf Moch , Jürgen Reuter

We compute the radiative corrections to the four-point amplitude $g+g \rightarrow A+A$ in massless Quantum Chromodynamics (QCD) up to order $a_s^4$ in perturbation theory. We used the effective field theory that describes the coupling of…

High Energy Physics - Phenomenology · Physics 2021-11-30 Arunima Bhattacharya , Maguni Mahakhud , Prakash Mathews , V. Ravindran

This talk summarizes the recent developments in the evaluation of the leading order hadronic contributions to the running of the QED fine structure constant $\alpha(s)$, at $s=M_{\rm Z}^2$, and to the anomalous magnetic moment of the muon…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michel Davier

QCD perturbation theory using quark and gluon propagators that have an extra term at zero four-momentum is equivalent to standard PQCD in the presence of massless quark and gluon pairs in the perturbative vacuum. We verify at low orders in…

High Energy Physics - Phenomenology · Physics 2009-11-07 Paul Hoyer

Taking the example of the most popular and well-established Borel / Laplace / Exponential sum rule (LSR), I shortly review some of its recent applications in hadron physics namely the estimates of non-perturbative condensates, the…

High Energy Physics - Phenomenology · Physics 2014-10-07 Stephan Narison

We present a 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 [1]. Our main emphasis is laid on the control over the uncertainties in the decay…

High Energy Physics - Phenomenology · Physics 2014-11-21 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

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 present a new QCD sum rule with high sensitivity to the continuum regions of charm and bottom quark pair production. Combining this sum rule with existing ones yields very stable results for the MS-bar quark masses, m_c(m_c) and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jens Erler , Mingxing Luo

The Principle of Maximum Conformality (PMC) provides a systematic way to eliminate the renormalization scheme and renormalization scale uncertainties for high-energy processes. We have observed that by applying PMC scale-setting, one…

High Energy Physics - Phenomenology · Physics 2018-03-22 Sheng-Quan Wang , Xing-Gang Wu , Zong-Guo Si , Stanley J. Brodsky

We calculate the weak decay form factors of doubly-heavy baryons using three-point QCD sum rules. The Cutkosky rules are used to derive the double dispersion relations. We include perturbative contributions and condensation contributions up…

High Energy Physics - Phenomenology · Physics 2020-07-15 Yu-Ji Shi , Wei Wang , Zhen-Xing Zhao

It is shown that the model used in [1] for the description of the experimental function $R_c (s)$ in the form of a sum of $\delta$-functions and the plateau contradicts the Wilson operator expansion (O.E.) in the terms due to the gluon…

High Energy Physics - Phenomenology · Physics 2011-03-17 B. V. Geshkenbein , V. L. Morgunov

In this article, we study the mass spectrum of the low-lying triply heavy hybrid baryon, which consists of three valence heavy quarks in a color octet and one valence gluon, with spin-parity $J^P=(\frac{1}{2})^+$ via QCD sum rules. This is…

High Energy Physics - Phenomenology · Physics 2023-08-22 Yi-Cheng Zhao , Chun-Meng Tang , Liang Tang

We extract (for the first time) the ratio of the gluon condensate < g^3f_{abc}G^3 >/< alpha_s G^2 > expressed in terms of the liquid instanton radius rho_c from charmonium moments sum rules by examining the effects of < alpha_s G^2 > in the…

High Energy Physics - Phenomenology · Physics 2012-01-25 Stephan Narison

For radially excited heavy quarkonia $ V=\psi(2S) $ and $ \Upsilon(2S) $, the nodal structure of their wave function renders the three-gluon decay $ V\to ggg $ acutely sensitive to relativistic corrections, presenting a longstanding…

High Energy Physics - Phenomenology · Physics 2026-03-12 Chao-Jie Fan , Jun-Kang He

We present a QCD sum-rule determination of the heavy-quark kinetic energy inside a heavy meson, $-\lambda_1/2 m_Q$, which is consistent with the field-theory analog of the virial theorem. We obtain $-\lambda_1\approx (0.10\pm…

High Energy Physics - Phenomenology · Physics 2009-10-28 Matthias Neubert