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Related papers: A Few Lessons from pQCD Analysis at Low Energies

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Weak-coupling conserving approximations can be constructed by truncations of the Luttinger-Ward functional and are well known as thermodynamically consistent approaches which respect macroscopic conservation laws as well as certain sum…

Strongly Correlated Electrons · Physics 2009-11-13 Jutta Ortloff , Matthias Balzer , Michael Potthoff

Using the QCD spectral sum rule approach we investigate different currents with $J^{PC}=1^{++}$, which could be associated with the $X(3872)$ meson. Our results indicate that, with a four-quark or molecular structure, it is very difficult…

High Energy Physics - Phenomenology · Physics 2011-02-15 Stephan Narison , Fernando S. Navarra , Marina Nielsen

Dispersive sum rules constitute long-standing tools for extracting hadron features from QCD. We estimate the systematic uncertainties induced by assuming quark-hadron duality and improve the accuracy of the resulting predictions by…

High Energy Physics - Phenomenology · Physics 2015-03-19 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We present a new calculation of the first Gegenbauer moment $a_1^K$ of the kaon light-cone distribution amplitude. This moment is determined by the difference between the average momenta of strange and nonstrange valence quarks in the kaon.…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Khodjamirian , Th. Mannel , M. Melcher

We present results for the thrust distribution in the electron positron annihilation to the three jet process at NNLO in the perturbative conformal window of QCD, as a function of the number of flavors $N_f$. Given the existence of an…

High Energy Physics - Phenomenology · Physics 2023-10-13 Leonardo Di Giustino , Stanley J. Brodsky , Philip G. Ratcliffe , Xing-Gang Wu , Sheng-Quan Wang

In the present paper, we first give a detailed study on the pQCD corrections to the leading-twist part of BSR. Previous pQCD corrections to the leading-twist part derived under conventional scale-setting approach up to ${\cal…

High Energy Physics - Phenomenology · Physics 2021-08-04 Qing Yu , Xing-Gang Wu , Hua Zhou , Xu-Dong Huang

We demonstrate that at finite density and sufficiently high temperatures, phase-quenched (PQ) lattice simulations combined with perturbation theory provide a new precision approach to determining the thermodynamics of QCD across a wide arc…

High Energy Physics - Phenomenology · Physics 2025-11-14 Tyler Gorda , Pablo Navarrete , Risto Paatelainen , Leon Sandbote , Kaapo Seppänen

We consider the two-fold expansion in powers of the conformal anomaly and of the strong coupling $\alpha_s$ for the non-singlet contributions to Adler $D$-function and Bjorken polarized sum rule calculated previously in the $\MSbar$-scheme…

High Energy Physics - Phenomenology · Physics 2022-05-25 I. O. Goriachuk , A. L. Kataev , V. S. Molokoedov

We summarise the perturbative QCD analysis of the structure function data for g_1 from longitudinally polarized deep inelastic scattering from proton, deuteron and neutron targets, with particular emphasis on testing sum rules, determining…

High Energy Physics - Phenomenology · Physics 2007-05-23 Richard D. Ball , Giovanni Ridolfi , Guido Altarelli , Stefano Forte

In this paper, we consider the long time behavior for the solution of a class of variable coefficient wave equation with nonlinear damping and logarithmic source. The existence and uniqueness of local weak solution can be obtained by using…

Analysis of PDEs · Mathematics 2023-03-16 Pengxue Cui , Shuguan Ji

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

The analytical $\mathcal{O}(a^4_s)$ perturbative QCD expression for the flavour non-singlet contribution to the Bjorken polarized sum rule in the rather applicable at present gauge--dependent $\rm{miniMOM}$ scheme is obtained. For the…

High Energy Physics - Phenomenology · Physics 2018-02-14 A. L. Kataev , V. S. Molokoedov

In multiquark correlator analyses with 1/Nc classifications, it is possible to separate the scattering background and to justify the factorization of condensates, which allows us to achieve an isolated peak saturation in the QCD sum rules…

High Energy Physics - Phenomenology · Physics 2008-09-12 Toru Kojo , Daisuke Jido

A new analysis of baryon sum rules is done with modern values of parameters and known perturbative corrections. The restriction for gluon and quark condensates and the new value of nucleon coupling constant are found.

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Oganesian

The QCD-coupling is a necessary input in the computation of many observables, and the parametric error on input parameters can be a dominant source of uncertainty. The coupling can be extracted by comparing high order perturbative…

High Energy Physics - Lattice · Physics 2022-03-16 Leonardo Chimirri , Rainer Sommer

The QCD sum rules for moments of production cross section of $b \overline b$ states in $e^+\,e^-$ annihilation are extremely sensitive to the values of $m_b$ and $\alpha_s$ for moments of large order $n$. This enables one to extract from…

High Energy Physics - Phenomenology · Physics 2015-06-25 M. B. Voloshin

We discuss the relationship between the large order behavior of the perturbative series for the average plaquette in pure gauge theory and singularities in the complex coupling plane. We discuss simple extrapolations of the large order for…

High Energy Physics - Theory · Physics 2017-08-23 Y. Meurice

We use the method of QCD sum rules in the presence of an external pion field to investigate isospin symmetry breakings in pion-nucleon couplings. Possible manifestations of such isospin symmetry breaking are examined in the context of…

Nuclear Theory · Physics 2009-09-25 W-Y. P. Hwang , Ze-sen Yang , Y. S. Zhong , Z. N. Zhou , Shi-lin Zhu

We prove that Pade approximants yield increasingly accurate predictions of higher-order coefficients in QCD perturbation series whose high-order behaviour is governed by a renormalon. We also prove that this convergence is accelerated if…

High Energy Physics - Phenomenology · Physics 2009-09-11 John Ellis , Einan Gardi , Marek Karliner , Mark A. Samuel

The standard deviations of the energy and Poynting power densities for an isotropic random field near a perfectly conducting planar boundary are characterized, based on quartic plane-wave expansions. For normal and transverse components,…

Classical Physics · Physics 2021-12-13 Luk R. Arnaut