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The symmetric and traceless part of the matrix element $\mathcal{S} \mathcal{T} \langle N| \overline{q} D_{\mu} D_{\nu} q |N \rangle$ can be determined from the second moment of the twist-3 parton distribution function $e(x)$. Recently,…

High Energy Physics - Phenomenology · Physics 2015-07-10 Philipp Gubler , Kie Sang Jeong , Su Houng Lee

We study in detail the flavor-non-singlet component of polarized structure functions in the framework of a consistent and complete next-to-leading order (${\cal O}(\alpha_s))$ analysis. In this context, we discuss some important features of…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Stratmann , A. Weber , W. Vogelsang

I review the QCD sum rules calculations of the form factors governing the semileptonic decays of charmed and beauty mesons. In particular, I discuss the predicted dependence of the various form factors on $q^2$ and how it can be obtained…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. Colangelo

We compute perturbative corrections to matching coefficients of QCD to HQET for the matrix element of the $\Delta B=2$ operator that determines the mass difference in $B^0-\bar{B}^0$ system of states. This involves the technical point of…

High Energy Physics - Phenomenology · Physics 2017-11-08 Andrey G. Grozin , Thomas Mannel , Alexei A. Pivovarov

The nuclear matrix elements for the momentum quadrupole operator are important for the interpretation of precision atomic physics experiments that search for violations of local Lorentz and CPT symmetry and for new spin-dependent forces. We…

Nuclear Theory · Physics 2017-11-15 B. A. Brown , G. F. Bertsch , L. M. Robledo , M. V. Romalis , V. Zelevinsky

We calculate the form factors for the heavy-to-light transitions $B\rightarrow \pi,K $ by means of QCD sum rules using $\pi$ and $K$ light-cone wave functions. Higher twist contributions as well as gluonic corrections are taken into…

High Energy Physics - Phenomenology · Physics 2019-08-15 V. M. Belyaev , A. Khodjamirian , R. Rückl

An introduction to the method of QCD sum rules is given for those who want to learn how to use this method. Furthermore, we discuss various applications of sum rules, from the determination of quark masses to the calculation of hadronic…

High Energy Physics - Phenomenology · Physics 2016-11-23 Pietro Colangelo , Alexander Khodjamirian

I consider three-point functions of one protected and two unprotected twist-two operators with spin in N=4 SYM at weak coupling. At one loop I formulate an empiric conjecture for the dependence of the corresponding structure constants on…

High Energy Physics - Theory · Physics 2019-05-01 Marco S. Bianchi

We present a general method for obtaining the quantum chromodynamical radiative corrections to the higher-twist (power-suppressed) contributions to inclusive deep-inelastic scattering in terms of light-cone correlation functions of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Xiangdong Ji , Jonathan Osborne

The non-singlet and singlet anomalous dimensions of the twist--2 light-ray operators for unpolarized and polarized deep inelastic scattering are calculated in $O(\alpha_s)$. We apply these results for the derivation of evolution equations…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Blümlein , B. Geyer , D. Robaschik

QCD sum rules are useful tools for studying the spectral properties of hadrons; however, assumptions underlying standard sum-rule analyses can lead to inconsistencies with known results of chiral perturbation theory. This possibility is…

High Energy Physics - Phenomenology · Physics 2009-10-28 David K. Griegel , Thomas D. Cohen

We present explicit expressions for the tree-level "kinematic" twist-three contributions to the nucleon matrix elements of gauge-invariant nonlocal quark-antiquark operators which can be used in lattice calculations of generalized parton…

High Energy Physics - Phenomenology · Physics 2023-10-26 V. M. Braun

Spin asymmetries in collisions of spin-polarized hadrons probe polarized parton distributions, which encode the spin structure of the colliding hadrons. To perform precision physics studies with spin asymmetries, higher order QCD…

High Energy Physics - Phenomenology · Physics 2026-02-11 Thomas Gehrmann , Markus Löchner

We introduce a new method for calculating the mixing matrix for non-singlet quark operators including total derivatives, based solely on their renormalization structure in the chiral limit. As input, the method requires the well-known…

High Energy Physics - Phenomenology · Physics 2022-03-02 Sam Van Thurenhout , Sven-Olaf Moch

We calculate, in the continuum limit of quenched lattice QCD, the matrix elements of the heavy-heavy vector current between heavy-light pseudoscalar meson states. We present the form factors for different values of the initial and final…

High Energy Physics - Lattice · Physics 2008-11-26 G. M. de Divitiis , R. Petronzio , N. Tantalo

A genuinely non-perturbative evaluation of higher-twist contributions to the structure functions of the nucleon, with all mixing effects and renormalon ambiguities taken care of, is presented. Higher-twist corrections turn out to be…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Capitani , M. Göckeler , R. Horsley , D. Petters , D. Pleiter , P. Rakow , G. Schierholz

A complete set of QCD sum rules for the magnetic moments of decuplet baryons are derived using the external field method. They are analyzed thoroughly using a Monte-Carlo based procedure. Valid sum rules are identified under the criteria of…

High Energy Physics - Phenomenology · Physics 2009-10-30 Frank X. Lee

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

The decomposition of the nucleon spin into that of quarks and gluons is related to twist-two GPDs according to Ji sum rule. Further decomposition into the helicity and the orbital angular momentum inevitably requires twist-three GPDs. In…

High Energy Physics - Phenomenology · Physics 2015-06-05 Yoshitaka Hatta , Shinsuke Yoshida

We present in detail a calculation of the next-to-leading order QCD corrections to the process $e^+e^-\to 3$ jets with massive quarks. To isolate the soft and collinear divergencies of the four parton matrix elements, we modify the phase…

High Energy Physics - Phenomenology · Physics 2009-10-30 Arnd Brandenburg , Peter Uwer
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