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Related papers: Evolution Kernels of Twist-3 Light-Ray Operators i…

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We present the one-loop anomalous dimension matrices for the chiral-even twist-3 (nonsinglet) conformal operators, which govern the scale-dependence of the vector meson light-cone wave functions through the conformal expansion. It is…

High Energy Physics - Phenomenology · Physics 2009-10-31 Y. Koike , N. Nishiyama , K. Tanaka

We study the deeply virtual Compton scattering cross-section in twist-two generalized parton distribution (GPD) approximation, and show that different choices of light-cone vectors and gauges for the final photon polarization will lead to…

High Energy Physics - Phenomenology · Physics 2022-01-05 Yuxun Guo , Xiangdong Ji , Kyle Shiells

The coplete analysis of the model-independent leading radiative corrections to cross-section and polarization observables in semi-inclusive deep-inelastic electron-nucleus scattering with detection of a proton and scattered electron in…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. V. Afanas'ev , I. Akushevich , G. I. Gakh , N. P. Merenkov

A leading twist expansion in terms of bilocal operators is proposed for the structure functions of deeply inelastic scattering near the elastic limit $x \to 1$, which is also applicable to a range of other hard quasi-elastic processes.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ratindranath Akhoury , Michael G. Sotiropoulos , George Sterman

We give a general treatment of twist-three effects in two-photon reactions. We address the issue of the gauge invariance of the Compton amplitude in generalized Bjorken kinematics and relations of twist-three `transverse' skewed parton…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. V. Belitsky , D. Müller

I discuss the operator expansion for diffractive high-energy scattering and present the non-linear evolution equation for the relevant Wilson-line operators which describes both the propagator of the BFKL pomeron and the three-pomeron…

High Energy Physics - Phenomenology · Physics 2009-10-30 Ian Balitsky

We compute a variety of operator-operator correlation functions to third order in the MSbar scheme in the chiral limit. These include combinations of quark bilinear currents with gauge invariant operators such as moments n = 2 and 3 of the…

High Energy Physics - Phenomenology · Physics 2010-01-15 J. A. Gracey

We investigate the chiral-even twist-3 generalized parton distributions (GPDs) of valence quarks in the proton at nonzero skewness $\xi$, using a spectator model with scalar and axial-vector diquarks. We consider the exponential form factor…

High Energy Physics - Phenomenology · Physics 2024-07-25 Chentao Tan , Zhun Lu

We present the first calculation of the Efremov-Teryaev-Qiu-Sterman functions and associated twist-3 quark-gluon correlation functions for both the proton and pion. These functions are determined using the light-front wave functions…

High Energy Physics - Phenomenology · Physics 2026-03-25 Zhimin Zhu , Jiangshan Lan , Chandan Mondal , Xingbo Zhao , James P. Vary , BLFQ Collaboration

We study the twist-3 spin-orbit correlations of quarks described by the nucleon matrix elements of the parity-odd rank-2 tensor QCD operator (the parity-odd partner of the QCD energy-momentum tensor). Our treatment is based on the effective…

High Energy Physics - Phenomenology · Physics 2024-03-13 June-Young Kim , Ho-Yeon Won , Hyun-Chul Kim , Christian Weiss

We consider a generic curved non-commutative torus extending the notion of conformally deformed non-commutative torus from \cite{Connes-Tretkoff}. In general, a curved non-commutative torus is no longer represented by a spectral triple, not…

Operator Algebras · Mathematics 2019-10-03 Fedor Sukochev , Dmitriy Zanin

We analyze the twist-4 contributions to Bjorken and Ellis-Jaffe sum rules for spin-dependent structure function $g_1(x, Q^2 )$. We investigate the anomalous dimensions of the twist-4 operators which determine the logarithmic correction to…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hiroyuki Kawamura

We report on a high statistics quenched lattice QCD calculation of the deep-inelastic structure functions $F_1$, $F_2$, $g_1$ and $g_2$ of the proton and neutron. The theoretical basis for the calculation is the operator product expansion.…

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , R. Horsley , E. -M. Ilgenfritz , H. Perlt , P. Rakow , G. Schierholz , A. Schiller

We have measured the spin structure functions $g_1$ and $g_2$ of $^3$He in a double-spin experiment by inclusively scattering polarized electrons at energies ranging from 0.862 to 5.07 GeV off a polarized $^3$He target at a 15.5$^{\circ}$…

High Energy Physics - Experiment · Physics 2012-08-27 010 Collaboration , M. Amarian , L. Auerbach , T. Averett , J. Berthot

The twist-2 contributions to the polarized structure functions in deep inelastic lepton--hadron scattering are calculated including the exchange of weak bosons and using both the operator product expansion and the covariant parton model. A…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. Blümlein , N. Kochelev

$^3$He spin-dependent structure functions, $g^3_1(x)$ and $g^3_2(x)$, which parametrize the hadronic tensor in polarized deep-inelastic scattering, were evaluated within the Poincar\'e covariant light-front framework. The Bakamjian-Thomas…

Spin-tomographic symbols of qudit states and spin observables are studied. Spin observables are associated with the functions on a manifold whose points are labelled by spin projections and 2-sphere coordinates. The star-product kernel for…

Quantum Physics · Physics 2009-08-30 S. N. Filippov , V. I. Man'ko

The status of the twist--2 and the twist--3 integral relations between polarized structure functions in deep inelastic scattering for electromagnetic and electroweak interactions is reviewed. One novel integral relation for the twist--3…

High Energy Physics - Phenomenology · Physics 2011-04-15 J. Blümlein

In this paper we present an analytic result for the evolution in $Q^2$ of the structure functions for the neutrino-nucleon interaction, valid at twist-2 in the region of small values of the Bjorken $x$ variable and for soft non-perturbative…

High Energy Physics - Phenomenology · Physics 2014-11-18 R. Fiore , L. L. Jenkovszky , A. V. Kotikov , F. Paccanoni , A. Papa , E. Predazzi

Power corrections for virtual Compton scattering at leading twist are etermined at operator level. From the complete off-cone representation of the twist-2 Compton operator integral representations for the trace, antisymmetric and symmetric…

High Energy Physics - Phenomenology · Physics 2009-11-10 B. Geyer , D. Robaschik