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New relations between QCD Borel sum rules for masses of Sigma^0 and Lambda hyperons are constructed. It is shown that starting from the sum rule for the Sigma^0 hyperon mass it is straightforward to obtain the corresponding sum rule for the…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Ozpineci S. B. Yakovlev V. S. Zamiralov

We calculate the higher-twist corrections to the QCD light-cone sum rule for the $B \to \pi$ transition form factor. The light-cone expansion of the massive quark propagator in the external gluonic field is extended to include new terms…

High Energy Physics - Phenomenology · Physics 2017-08-02 Aleksey V. Rusov

The QCD higher order effects to the polarized structure function $g_2(x, Q^2 )$ are reanalyzed for massive quarks in the context of the operator product expansion. We confirm that the lowest moment of $g_2 (x, Q^2 )$ which corresponds to…

High Energy Physics - Phenomenology · Physics 2009-10-28 Jiro Kodaira , Satoshi Matsuda , Tsuneo Uematsu , Ken Sasaki

The gluon condensate, $\langle \frac{\alpha_s}{\pi} G^2 \rangle$, i.e. the leading order power correction in the operator product expansion of current correlators in QCD at short distances, is determined from $e^+ e^-$ annihilation data in…

High Energy Physics - Phenomenology · Physics 2015-06-23 C. A. Dominguez , L. A. Hernandez , K. Schilcher

We consider a light-front dressed quark state, per se, instead of a proton state, we consider a simple composite spin-1/2 state of a quark dressed with a gluon. This perturbative model incorporates gluonic degrees of freedom, which enable…

High Energy Physics - Phenomenology · Physics 2023-08-09 Jai More , Asmita Mukherjee , Sreeraj Nair , Sudeep Saha

In these lectures, I present several important applications of QCD sum rules to the decay processes involving heavy-flavour hadrons. The first lecture is introductory. As a study case, the sum rules for decay constants of the heavy-light…

High Energy Physics - Phenomenology · Physics 2013-12-24 Alexander Khodjamirian

We propose a simple method to calculate the pion form factor at not very large momentum transfers, which combines the technique of the QCD sum rules with the description of the pion in terms of the set of wave functions of increasing twist.…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. M. Braun , I. Halperin

The pionic coupling constants in the decays of the $1^{-+}$ hybrid meson are calculated. The double Borel transformation is invoked and continuum contribution is subtracted. The decay widths of the processes $1^{-+}\to \rho\pi, f_1 \pi, \pi…

High Energy Physics - Phenomenology · Physics 2009-10-31 Shi-Lin Zhu

We reconsider QCD factorization for the leading power contribution to the $\gamma^{\ast} \gamma \to \pi^0$ form factor $F_{\gamma^{\ast} \gamma \to \pi^0} (Q^2)$ at one loop using the evanescent operator approach, and demonstrate the…

High Energy Physics - Phenomenology · Physics 2018-01-17 Yu-Ming Wang , Yue-Long Shen

QCD Laplace Sum-Rules must satisfy a fundamental Hoelder inequality if they are to consistently represent an integrated hadronic spectral function. The Laplace sum-rules of pion currents is shown to violate this inequality unless the $u$…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. G. Steele

We give a short review of QCD sum rule results for B and D mesons and Lambda_Q and Sigma_Q baryons. We focus mainly on recent developments concerning semileptonic B->pion and D->pion transitions, pion couplings to heavy hadrons, decay…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. Yakovlev , R. Rückl , S. Weinzierl

The Regge limit in perturbative QCD for processes as DIS (low x) and photon or onia-particles scattering is considered. In the first part a phenomenological approach for the inclusion of the running coupling, preserving the gluon…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. P. Vacca

We revisit QCD calculations of radiative heavy meson decay form factors by including the subleading power corrections from the twist-two photon distribution amplitude at next-to-leading-order in $\alpha_s$ with the method of the light-cone…

High Energy Physics - Phenomenology · Physics 2020-02-11 Hua-Dong Li , Cai-Dian Lü , Chao Wang , Yu-Ming Wang , Yan-Bing Wei

We review various approaches to the calculation of QCD condensates and of the nucleon characteristics in nuclear matter. We show the importance of their self-consistent treatment. The first steps in such treatment appeared to be very…

Nuclear Theory · Physics 2009-11-07 E. G. Drukarev , M. G. Ryskin , V. A. Sadovnikova

Comparing the result of inserting a complete set of physical states in a time ordered product of $b$ decay currents with the operator product expansion gives a class of zero recoil sum rules. They sum over physical states with excitation…

High Energy Physics - Phenomenology · Physics 2014-11-17 Anton Kapustin , Zoltan Ligeti , Mark B. Wise , Benjamin Grinstein

We systematically calculate the radiative corrections of order $\alpha/\pi$ to elastic muon-proton scattering at low momentum transfers. These include vacuum polarization, photon-loop form factors of the muon and the proton, two-photon…

High Energy Physics - Phenomenology · Physics 2022-04-20 Norbert Kaiser , Yong-Hui Lin , Ulf-G. Meißner

We scrutinize recent findings on the charged-pion elastic form factor and the form factors entering in neutral-meson-to-photons transition amplitudes within the framework of QCD sum rules.

High Energy Physics - Phenomenology · Physics 2015-06-05 Irina Balakireva , Wolfgang Lucha , Dmitri Melikhov

We compute the differential and the total cross sections for $pp$ scattering using the QCD pomeron model proposed by Landshoff and Nachtmann. This model is quite dependent on the experimental electromagnetic form factor, and it is not…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. Carvalho , A. A. Natale , C. M. Zanetti

Light-cone QCD sum rules are employed to compute the strong coupling constants: g_{B^* B^* pi}, g_{B_1 B_0 pi} and g_{B_1 B^* pi}, where (B,B^*) and (B_0,B_1) are negative and positive parity (0^-,1^-) and (0^+,1^+) \bar qQ doublets. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. Colangelo , F. De Fazio

The Fubini-Furlan-Rossetti sum rule for pion photoproduction on the nucleon is evaluated by dispersion relations at constant t, and the corrections to the sum rule due to the finite pion mass are calculated. Near threshold these corrections…

Nuclear Theory · Physics 2009-11-10 B. Pasquini , D. Drechsel , L. Tiator
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