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We update the predictions of the SU(2) baryon chiral perturbation theory for the dipole polarisabilities of the proton, $\{\alpha_{E1},\,\beta_{M1}\}_p=\{11.2(0.7),\,3.9(0.7)\}\times10^{-4}$fm$^3$, and obtain the corresponding predictions…

High Energy Physics - Phenomenology · Physics 2016-01-07 Vadim Lensky , Judith A. McGovern , Vladimir Pascalutsa

In these lectures, I describe the techniques used within the QCD sum rule approach. The basic concepts of the approach are introduced using a simple model of quantum-mechanical oscillator in 2+1 dimensions. Then I discuss their…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Radyushkin

We compare two widely used approaches to the description of hadron properties: QCD sum rules and constituent quark models. Making use of the dispersion formulation of the quark model, we show that both approaches lead to similar spectral…

High Energy Physics - Phenomenology · Physics 2009-11-10 Dmitri Melikhov , Silvano Simula

We extract constraints on the pion distribution amplitude from available data on the pion-photon transition form factor in the framework of light-cone sum rules. A pronounced discrepancy $(2.7-3)\sigma$ between the Gegenbauer expansion…

High Energy Physics - Phenomenology · Physics 2015-06-11 A. V. Pimikov , A. P. Bakulev , S. V. Mikhailov , N. G. Stefanis

In this paper we study QCD and power corrections to sum rules which show up in deep inelastic lepton-hadron scattering. Furthermore we will make a distinction between fundamental sum rules which can be derived from quantum field theory and…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. Ravindran , W. L. van Neerven

We consider the calculation of the pion-photon transition form factor $F^{\gamma^*\gamma\pi^0}(Q^2)$ within light-cone sum rules focusing attention to the low-mid region of momenta. The central aim is to estimate the theoretical…

High Energy Physics - Phenomenology · Physics 2016-06-22 S. V. Mikhailov , A. V. Pimikov , N. G. Stefanis

We study consistently the pion's static observables and the elastic and \gamma*\gamma -> \pi^0 transition form factors within a light-front model. Consistency requires that all calculations are performed within a given model with the same…

Nuclear Theory · Physics 2013-01-30 B. El-Bennich , J. P. B. C. de Melo , T. Frederico

We study the accuracy of the bound-state parameters obtained with the method of dispersive sum rules, one of the most popular theoretical approaches in nonperturbative QCD and hadron physics. We make use of a quantum-mechanical potential…

High Energy Physics - Phenomenology · Physics 2010-04-28 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We analyze the higher-twist effects and the SU(3)-flavour symmetry breaking in the correlation functions used to calculate form factors of pseudoscalar mesons in the QCD light-cone sum rule approach. It is shown that the Ward identities for…

High Energy Physics - Phenomenology · Physics 2011-09-13 Johan Bijnens , Alexander Khodjamirian

We generalize forward real Compton amplitude to the case of the interference of the electromagnetic and weak neutral current, formulate a low-energy theorem, relate the new amplitudes to the interference structure functions and obtain a new…

Nuclear Theory · Physics 2015-01-23 Mikhail Gorchtein , Xilin Zhang

We analyze the Fubini-Furlan-Rosetti sum rule in the framework of covariant baryon chiral perturbation theory to leading one-loop accuracy and including next-to-leading order polynomial contributions. We discuss the relation between the…

Nuclear Theory · Physics 2009-11-11 Véronique Bernard , Bastian Kubis , Ulf-G. Meißner

We derive two sum rules by studying the low energy Compton scattering on a target of arbitrary (nonzero) spin j. In the first sum rule, we consider the possibility that the intermediate state in the scattering can have spin |j \pm 1| and…

High Energy Physics - Theory · Physics 2012-10-11 Hovhannes R. Grigoryan , Massimo Porrati

The Gerasimov-Drell-Hearn sum rule and related dispersive integrals connect real and virtual Compton scattering to inclusive photo- and electroproduction. Being based on universal principles as causality, unitarity, and gauge invariance,…

Nuclear Theory · Physics 2009-12-17 D. Drechsel

The QCD sum rule method is formulated for the strangeness +1 pentaquark baryon with isospin I=0 and spin-parity J^P = 3/2^\pm. The spin-3/2 states are considered to be narrower than the spin-1/2 ones, and thus may provide a natural…

High Energy Physics - Phenomenology · Physics 2014-11-18 P. Gubler , D. Jido , T. Kojo , T. Nishikawa , M. Oka

Within the framework of the conventional QCD sum rules, we study the pion two-point correlation function, $i\int d^4x e^{iq\cdot x} < 0| T J_N(x) {\bar J}_N(0)|\pi(p)>$, beyond the soft-pion limit. We construct sum rules from the three…

Nuclear Theory · Physics 2009-10-31 Hungchong Kim , Su Houng Lee , Makoto Oka

We construct QCD sum rules for nonperturbative studies without assuming the quark-hadron duality for the spectral density at low energy on the hadron side. Instead, both resonance and continuum contributions to the spectral density are…

High Energy Physics - Phenomenology · Physics 2021-01-04 Hsiang-nan Li , Hiroyuki Umeeda

A state-of-the-art analysis of the pion-photon transition form factor is presented based on an improved theoretical calculation that includes the effect of a finite virtuality of the quasi-real photon in the method of light-cone sum rules.…

High Energy Physics - Phenomenology · Physics 2013-05-31 N. G. Stefanis , A. P. Bakulev , S. V. Mikhailov , A. V. Pimikov

We study the pion form factor F^{\pi \gamma\gamma^*}(Q^2) in the light-cone sum rule approach, accounting for radiative corrections and higher twist effects. Comparing the results to the CLEO experimental data on F^{\pi…

High Energy Physics - Phenomenology · Physics 2016-09-06 Alexander Schmedding , Oleg Yakovlev

The determination of twist-4 corrections to the structure functions of polarized $e(\mu)N$ scattering by QCD sum rules is reviewed and critically analyzed. It is found that in the case of the Bjorken sum rule the twist-4 correction is small…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. L. Ioffe

In this article, we calculate the scalar form-factor of the proton in the framework of the light-cone QCD sum rules approach with the three valence quark light-cone distribution amplitudes up to twist-6, and observe the scalar form-factor…

High Energy Physics - Phenomenology · Physics 2009-11-11 Zhi-Gang Wang , Shao-Long Wan , Wei-Min Yang