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In this letter we extend the factorization procedure of the deep-inelastic hadron tensor, proposed by Qiu, to include non-zero quark masses. The manifest gauge invariance of both soft and hard parts is preserved. Using a so-called spurion…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. Boer , R. D. Tangerman

We revisit high energy factorization for gluon mediated inclusive Deep Inelastic Scattering (DIS) for which we propose a new semi-classical approach that accounts systematically for the longitudinal extent of the target in contrast with the…

High Energy Physics - Phenomenology · Physics 2022-08-10 Renaud Boussarie , Yacine Mehtar-Tani

We study matrix elements of Fourier-transformed straight infinite Wilson lines as a way to calculate gauge invariant tree-level amplitudes with off-shell gluons. The off-shell gluons are assigned "polarization vectors" which (in the Feynman…

High Energy Physics - Phenomenology · Physics 2015-06-19 Piotr Kotko

We derive the scale dependence of twist-3 quark-gluon operators, or ETQS matrix elements, at one-loop. These operators are used to factorize transverse single spin asymmetries, which are studied intensively both in experiment and theory.…

High Energy Physics - Phenomenology · Physics 2015-06-05 J. P. Ma , Q. Wang

Understanding the origin and mechanism of the transverse polarization of hyperons produced in unpolarized proton-proton collision, $pp\to \Lambda^\uparrow X$, has been one of the long-standing issues in high-energy spin physics. In the…

High Energy Physics - Phenomenology · Physics 2021-09-29 Yuji Koike , Kenta Yabe , Shinsuke Yoshida

We perform an extensive study of the scale dependence of flavor-singlet contributions to the structure function g_2(x,Q^2) in polarized deep-inelastic scattering. We find that the mixing between quark-antiquark-gluon and three-gluon twist-3…

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

At small x, the effects of finite transverse momenta of partons inside a hadron become increasingly important, especially in analyses of jets and heavy-quark production. These effects can be systematically accounted for in a formalism based…

High Energy Physics - Phenomenology · Physics 2014-11-17 Gosta Gustafson , Leif Lonnblad , Gabriela Miu

We derive a "master formula" for the contribution of the three-gluon correlation function in the nucleon to the twist-3 single-spin-dependent cross section for semi-inclusive deep-inelastic scattering, ep^\uparrow\to eDX. This is an…

High Energy Physics - Phenomenology · Physics 2011-06-24 Yuji Koike , Kazuhiro Tanaka , Shinsuke Yoshida

We report on a recent extraction of the higher twist contributions to the deep inelastic structure functions $F_2^{ep,ed}(x,Q^2)$ in the large $x$ region. It is shown that the size of the extracted higher twist contributions is strongly…

High Energy Physics - Phenomenology · Physics 2008-07-03 Johannes Blümlein , Helmut Böttcher

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

We study the six-point gluon scattering amplitudes in N=4 super Yang-Mills theory at strong coupling based on the twisted Z_4-symmetric integrable model. The lattice regularization allows us to derive the associated thermodynamic Bethe…

High Energy Physics - Theory · Physics 2015-06-22 Yasuyuki Hatsuda , Katsushi Ito , Yuji Satoh , Junji Suzuki

We perform a systematic analysis on the off-forward matrix elements of the twist-two quark and gluon helicity-flip operators. By matching the allowed quantum numbers and their crossing channel counterparts (a method developed by Ji &…

High Energy Physics - Phenomenology · Physics 2009-11-10 Zhang Chen , Xiangdong Ji

We compute the O(1/N_f) correction to the predominantly gluonic flavour singlet twist-2 anomalous dimension used in polarized deep inelastic scattering. It is consistent with known two loop perturbation theory and we determine the three…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. F. Bennett , J. A. Gracey

We study the Sivers asymmetry in semi-inclusive hadron production in deep inelastic scattering. We concentrate on the contribution from the photon-gluon fusion channel at ${\cal O}(\alpha_{em}^2 \alpha_s)$, where three-gluon correlation…

High Energy Physics - Phenomenology · Physics 2016-01-20 Ling-Yun Dai , Zhong-Bo Kang , Alexei Prokudin , Ivan Vitev

The $O(\alpha_s^3 n_f T_F^2 C_{A,F})$ terms to the massive gluonic operator matrix elements are calculated for general values of the Mellin variable $N$. These twist-2 matrix elements occur as transition functions in the variable flavor…

High Energy Physics - Phenomenology · Physics 2015-06-05 Johannes Blümlein , Alexander Hasselhuhn , Sebastian Klein , Carsten Schneider

We study the twist-4 contribution to the unpolarized nucleon structure functions, F_L and F_2, in an approach where the vacuum structure of QCD is described by a dilute medium of instantons ($\bar\rho / \bar R \ll 1$). The dominant power…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Dressler , M. Maul , C. Weiss

Dimensionally or analytically regulated Feynman integrals lead to relative twisted period integrals. We present a recent extension of the Griffiths-Dwork pole reduction algorithm for deriving the D-module of differential operators acting on…

Algebraic Geometry · Mathematics 2026-04-13 Pierre Vanhove

We consider the one-loop factorization of the simplest twist-three process: inclusive deep-inelastic scattering of longitudinally-polarized leptons on a transversely-polarized nucleon target. By studying the Compton amplitudes for certain…

High Energy Physics - Phenomenology · Physics 2009-10-31 Xiangdong Ji , Wei Lu , Jonathan Osborne , Xiaotong Song

In this paper we consider tree-level gauge invariant off-shell amplitudes (Wilson line form factors) in $\mathcal{N}=4$ SYM with arbitrary number of off-shell gluons or equivalently Wilson line operator insertions. We make a conjecture for…

High Energy Physics - Theory · Physics 2018-02-20 L. V. Bork , A. I. Onishchenko

As a possible source of the single transverse spin asymmetry, we study the contribution from purely gluonic correlation represented by the twist-3 ``three-gluon correlation" functions in the transversely polarized nucleon. We first define a…

High Energy Physics - Phenomenology · Physics 2014-11-21 Hiroo Beppu , Yuji Koike , Kazuhiro Tanaka , Shinsuke Yoshida