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Multi-instanton contributions to QCD sum rules for the pion are investigated within a framework which models the QCD vacuum as an instanton liquid. It is shown that in singular gauge the sum of planar diagrams in leading order of the…

High Energy Physics - Theory · Physics 2008-11-26 A. E. Dorokhov , S. V. Esaibegyan , N. I. Kochelev , N. G. Stefanis

A recently proposed set of sum rules, based on the pion-Kaon scattering amplitudes and their crossing-symmetric conjugates are analysed in detail. A key role is played by the $l=0$ $\pi\pi\to K\overline K$ amplitude which requires an…

High Energy Physics - Phenomenology · Physics 2009-01-07 B. Ananthanarayan , P. Büttiker , B. Moussallam

We use QCD sum rules to obtain the weak parity-violating pion-nucleon coupling constant $f_{\pi NN}$. We find that $f_{\pi NN}\approx 2\times 10^{-8}$, about an order of magnitude smaller than the ``best estimates'' based on quark models.…

Nuclear Theory · Physics 2014-11-18 E. M. Henley , W-Y. P. Hwang , L. S. Kisslinger

We analyze the accuracy of the pion elastic form factor predicted by a local-duality (LD) version of dispersive sum rules. To probe the precision of this theoretical approach, we adopt potential models with interactions that involve both…

High Energy Physics - Phenomenology · Physics 2015-03-19 Irina Balakireva , Wolfgang Lucha , Dmitri Melikhov

In the framework of light-cone QCD sum rules, we study the valence quark distribution function $q(x_B)$ of a pion for moderate $x_B$. The sum rule with the leading twist-2 wave function gives $q(x_B)=\varphi_\pi(x_B)$. Twist-4 wave…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. M. Belyaev , Mikkel B. Johnson

We perform a detailed analysis of all existing data (CELLO, CLEO, BaBar) on the pion-photon transition form factor by means of light-cone sum rules in which we include the NLO QCD radiative corrections and the twist-four contributions. The…

High Energy Physics - Phenomenology · Physics 2011-08-29 A. P. Bakulev , S. V. Mikhailov , A. V. Pimikov , N. G. Stefanis

Standard QCD sum-rule analyses of the nucleon mass give results that are inconsistent with chiral perturbation theory due to an overly simple continuum ansatz on the phenomenological side of the sum rule. We show that a careful treatment of…

High Energy Physics - Phenomenology · Physics 2009-10-28 Su Houng Lee , Seungho Choe , Thomas D. Cohen , David K. Griegel

We revisit the QCD sum-rule treatment of the isospin-breaking axial correlator in light of the recent claim that a previous treatment produced results incompatible with known chiral constraints. The source of the error in the previous…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kim Maltman , Michael C. Birse

We compare two approaches to the description of pion Compton scattering at moderate momentum transfer, one being based on local duality QCD sum rules for the invariant amplitudes of the process, which have been derived recently, and the…

High Energy Physics - Phenomenology · Physics 2010-11-01 Claudio Coriano' , Hsiang-nan Li

In this talk, I will concentrate on $Q^2$-dependence of deep inelastic sum rules. I will first give a modern definition of deep-inelastic sum rules and then discuss physical origins of their scaling violation at finite $Q^2$. Following…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xiangdong Ji

The local-duality formulation of QCD sum rules allows for the prediction of hadronic form factors without knowledge of the subtle details of their structure. With the aid of this formalism, we take a fresh look at the behaviours of the…

High Energy Physics - Phenomenology · Physics 2012-05-31 Irina Balakireva , Wolfgang Lucha , Dmitri Melikhov

The difference between the charged and neutral pion masses can be predicted from a well-known dispersion relation involving an infinite-energy integral over experimental data, the pion sum rule. This relation, however, holds only in the…

High Energy Physics - Phenomenology · Physics 2026-02-06 Johan Bijnens , Nils Hermansson-Truedsson , Antonio Rodríguez-Sánchez

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

A sum rule relation is proposed for direct CP asymmetries in $B\to K\pi$ decays. Leading terms are identical in the isospin symmetry limit, while subleading terms are equal in the flavor SU(3) and heavy quark limits. The sum rule predicts…

High Energy Physics - Phenomenology · Physics 2010-04-05 Michael Gronau

The mixed-isospin vector current correlator, $\langle 0\vert T(V^\rho_\mu V^\omega_\nu )\vert 0\rangle$ is evaluated using both QCD sum rules and Chiral Perturbation Theory (ChPT) to one-loop order. The sum rule treatment is a modification…

High Energy Physics - Phenomenology · Physics 2014-11-17 Kim Maltman

The nonperturbative $Q^2$- dependence of the sum rules for the structure functions of polarized $e(\mu)N$ scattering is discussed. The determination of twist-4 corrections to the structure functions at high $Q^2$ by QCD sum rules is…

High Energy Physics - Phenomenology · Physics 2011-04-15 B. L. Ioffe

We consider the pion-photon transition form factor at low to intermediate spacelike momenta within the theoretical framework of light-cone sum rules. We derive predictions which take into account all currently known contributions stemming…

High Energy Physics - Phenomenology · Physics 2017-03-24 S. V. Mikhailov , A. V. Pimikov , N. G. Stefanis

We derive a novel model-independent result for the pion susceptibility in QCD via the isovector-pseudoscalar vacuum polarisation. In the neighbourhood of the chiral-limit, the pion susceptibility can be expressed as a sum of two independent…

Nuclear Theory · Physics 2014-11-20 Lei Chang , Yu-Xin Liu , Craig D. Roberts , Yuan-Mei Shi , Wei-Min Sun , Hong-Shi Zong

Classical Coulomb systems at equilibrium, bounded by a plane dielectric wall, are studied. A general two-point charge correlation function is considered. Valid for any fixed position of one of the points, a new relation is found between the…

Statistical Mechanics · Physics 2007-05-23 B. Jancovici , L. Šamaj

We investigate the transition to perturbative QCD in Compton processes, by concentrating on the specific reactions $\pi \gamma \to \pi \gamma$ and pion photoproduction at moderate energy scales. New sum rules for each of the helicities…

High Energy Physics - Phenomenology · Physics 2011-08-17 Claudio Coriano' , Hsiang-nan Li
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