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

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We combine high-resolution resonant inelastic x-ray scattering with cluster calculations utilizing a recently derived effective magnetic scattering operator to analyze the polarization, excitation energy, and momentum dependent excitation…

We formulate a consistent 1/N_c^2 expansion of the QCD evolution equations for the twist-three quark distributions g_2(x,Q^2), h_L(x,Q^2) and e(x,Q^2) based on the interpretation of the evolution as a three-particle quantum-mechanical…

High Energy Physics - Phenomenology · Physics 2014-11-17 V. M. Braun , G. P. Korchemsky , A. N. Manashov

We argue that the evolution kernel for the scale-dependence of the $B$-meson light-cone distribution amplitude (LCDA) can be written, to all orders in perturbation theory, in terms of the generator of special conformal transformations in a…

High Energy Physics - Phenomenology · Physics 2019-12-09 V. M. Braun , Yao Ji , A. N. Manashov

We study the contribution of the twist-3 fragmentation function to the single-transverse spin asymmetry in semi-inclusive deep inelastic scattering within the framework of the collinear factorization. Making use of the Ward-Takahashi…

High Energy Physics - Phenomenology · Physics 2015-06-17 Koichi Kanazawa , Yuji Koike

We investigate the twist-3 effects in the polarized virtual photon structure. The structure functions $g_1^\gamma$ and $g_2^\gamma$ of polarized photon could be experimentally studied in the future polarized $ep$ or $e^+e^-$ colliders. The…

High Energy Physics - Phenomenology · Physics 2009-11-07 Hideshi Baba , Ken Sasaki , Tsuneo Uematsu

We introduce the spin-operator representation for the gluon as well as quark distribution functions as nucleon matrix element of the gauge-invariant bilocal light-cone operators in QCD. To identify the relevant spin operators for quarks and…

High Energy Physics - Phenomenology · Physics 2014-08-11 Kazuhiro Tanaka

Let $S$ be a semi direct product $S=N\rtimes A$ where $N$ is a connected and simply connected, non-abelian, nilpotent meta-abelian Lie group and $A$ is isomorphic with $\R^k,$ $k>1.$ We consider a class of second order left-invariant…

Functional Analysis · Mathematics 2014-03-24 Richard Penney , Roman Urban

We use Lorentz invariance and the QCD equations of motion to study the evolution of functions that appear at leading order in a 1/Q expansion in azimuthal asymmetries. This includes the evolution equation of the Collins fragmentation…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. A. Henneman , Daniel Boer , P. J. Mulders

We study the scale dependence of the twist-3 quark-gluon parton distributions using the observation that in the multi-color limit the corresponding QCD evolution equations possess an additional integral of motion and turn out to be…

High Energy Physics - Phenomenology · Physics 2023-06-29 S. E. Derkachov , G. P. Korchemsky , A. N. Manashov

We present results for all leading-twist azimuthal spin asymmetries in semi-inclusive lepton-nucleon deep-inelastic scattering due to T-even transverse-momentum dependent parton distribution functions on the basis of a light-cone…

High Energy Physics - Phenomenology · Physics 2009-07-31 S. Boffi , A. V. Efremov , B. Pasquini , P. Schweitzer

We study the $\gamma\gamma\rightarrow M^{+}M^{-}(M=\pi, K)$ processes with the contributions from the two-particle twist-2 and twist-3 distribution amplitudes of pion and kaon mesons on BHL prescription in the standard hard-scattering…

High Energy Physics - Phenomenology · Physics 2017-05-15 Cong Wang , Ming-Zhen Zhou , Hong Chen

We present a leading order (LO) estimate for the longitidinal-transverse spin asymmetry (A_{LT}) in the nucleon-nucleon polarized Drell-Yan process at RHIC and HERA-$\vec{N}$ energies in comparison with A_{LL} and A_{TT}. A_{LT} receives…

High Energy Physics - Phenomenology · Physics 2009-10-31 Y. Kanazawa , Yuji Koike , N. Nishiyama

A quantum field theoretic treatment of inclusive deep--inelastic diffractive scattering is given. The process can be described in the general framework of non--forward scattering processes using the light--cone expansion in the generalized…

High Energy Physics - Phenomenology · Physics 2008-11-26 Johannes Blümlein , Bodo Geyer , Dieter Robaschik

The twist-3 contribution, consisting of twist-2 transversity generalized parton distributions (GPDs) and a twist-3 meson wave function, to deeply virtual pion electroproduction is discussed. The twist-3 meson wave function includes both the…

High Energy Physics - Phenomenology · Physics 2025-01-07 Goran Duplančić , Peter Kroll , Kornelija Passek-K. , Lech Szymanowski

We study the Q^2 evolution of the nucleon's chiral-odd twist-3 distribution h_L(x,Q^2) starting from the MIT bag model calculation. A simple GLAP equation for h_L(x,Q^2) obtained at large N_c is used for the Q^2 evolution. The correction…

High Energy Physics - Phenomenology · Physics 2016-09-06 Y. Kanazawa , Yuji Koike

In this paper we consider three types of discrete operators stemming from singular Radon transforms. We first extend an $\ell^p$ result for translation invariant discrete singular Radon transforms to a class of twisted operators including…

Classical Analysis and ODEs · Mathematics 2010-05-26 Lillian B. Pierce

We revisit the calculation of the evolution equations for four unpolarized twist-3 transverse momentum dependent (TMD) parton distribution functions (PDFs) at $\mathcal {O}(\alpha_s)$. Unlike the existing calculations in the literature,…

High Energy Physics - Phenomenology · Physics 2025-07-01 Xue-Tao Liu , Ping-An Liu , Yu-Lu Liu , An-Ping Chen

We show that soft-gluon twist-3 contributions to single-spin asymmetries (SSA) in hard processes may be expressed in the form of effective T-odd Sivers distributions, whose signs and scales are modified by process-dependent colour factors.…

High Energy Physics - Phenomenology · Physics 2011-11-10 Philip G. Ratcliffe , Oleg V. Teryaev

We demonstrate that the Balitsky-JIMWLK equations describing the high-energy evolution of the n-point functions of the Wilson lines (the QCD scattering amplitudes in the eikonal approximation) admit a controlled mean field approximation of…

High Energy Physics - Phenomenology · Physics 2015-06-03 E. Iancu , D. N. Triantafyllopoulos

We present a systematic study of twist-3 light-cone distribution amplitudes of $K^*$ and $\phi$ mesons in QCD. The structure of SU(3)-breaking corrections is studied in detail. Non-perturbative input parameters are estimated from QCD sum…

High Energy Physics - Phenomenology · Physics 2010-10-27 Patricia Ball , G. W. Jones
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