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A small-$x$ helicity evolution has been derived in 2016-18 and received an important modification in 2022. This article discusses its general framework and summarizes the recent theoretical developments, including the asymptotic behaviors…

High Energy Physics - Phenomenology · Physics 2023-09-14 Yossathorn Tawabutr

We compute the gluon distribution in deep inelastic scattering at small x by solving numerically the angular ordering evolution equation. The leading order contribution, obtained by neglecting angular ordering, satisfies the BFKL equation.…

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Bottazzi , G. Marchesini , G. P. Salam , M. Scorletti

We present model predictions of Collins asymmetries for proton in the SIDIS process for $\pi^+$ and $\pi^-$ channels. We use a recently proposed light-front quark-diquark model for proton with the light-front wave functions predicted in…

High Energy Physics - Phenomenology · Physics 2018-01-08 Tanmay Maji , Dipankar Chakrabarti

We apply the valence quark model recently calculated for polarized proton to constrain the non-perturbative initial condition for the small-$x$ helicity evolution. The remaining free parameters are constrained by performing a global…

High Energy Physics - Phenomenology · Physics 2025-11-04 Daniel Adamiak , Heikki Mäntysaari , Yossathorn Tawabutr

An algebraic Ansatz for the proton's Poincar\'e-covariant wave function, which includes both scalar and pseudovector diquark correlations, is used to calculate proton valence, sea, and glue distribution functions (DFs). Regarding…

High Energy Physics - Phenomenology · Physics 2022-04-20 Lei Chang , Fei Gao , Craig D. Roberts

We calculate the gluon structure function of a color dipole in near-light-cone SU(2) lattice QCD as a function of $x_B$. The quark and antiquark are external non-dynamical degrees of freedom which act as sources of the gluon string…

High Energy Physics - Theory · Physics 2013-05-29 D. Grünewald , E. -M. Ilgenfritz , H. J. Pirner

Using the colour dipole approach of the QCD perturbative (BFKL) Pomeron exchange in onium-onium scattering, we compute the cross section for small but hierarchically different onium sizes. A specific term dependent on the size-ratio is…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Navelet , R. Peschanski , Ch. Royon

We present a calculation of the leading-twist (twist-2) generalized transverse momentum distributions (GTMDs) for unpolarized and longitudinally polarized gluons in the proton, using a recently developed light-front gluon spectator model…

High Energy Physics - Phenomenology · Physics 2025-12-23 Dipankar Chakrabarti , Bheemsehan Gurjar , Asmita Mukherjee , Kauship Saha

We revisit the problem of the small Bjorken-$x$ asymptotics of the quark and gluon orbital angular momentum (OAM) distributions in the proton utilizing the revised small-$x$ helicity evolution derived recently. We relate the quark and gluon…

High Energy Physics - Phenomenology · Physics 2024-07-24 Yuri V. Kovchegov , Brandon Manley

We determine the small-$x$ asymptotics of the gluon helicity distribution in a proton at leading order in perturbative QCD at large $N_c$. To achieve this, we begin by evaluating the dipole gluon helicity TMD at small $x$. In the process we…

Nuclear Theory · Physics 2018-08-31 Yuri V. Kovchegov , Daniel Pitonyak , Matthew D. Sievert

We discuss the spin structure of the proton in a light-cone treatment of the chiral quark model. Based on the fact that the quark helicity ($\Delta q$) measured in polarized deep inelastic scattering experiments is actually the quark spin…

High Energy Physics - Phenomenology · Physics 2012-07-03 Xinyu Zhang , Bo-Qiang Ma

The $\sin(2\phi)$ azimuthal angular correlation between the transverse momenta of the scattered electron and the recoil proton in the $ep\to e^\prime p^\prime \pi^0$ process provides a probe for quark orbital angular momentum. We…

High Energy Physics - Phenomenology · Physics 2025-08-22 Chentao Tan , Zhun Lu

We study the Sivers asymmetry in semi-inclusive deep inelastic scattering: the three-gluon correlation function contribution. At the cross section level, we establish the matching between the twist-3 collinear factorization approach and the…

High Energy Physics - Phenomenology · Physics 2021-03-12 Ling-Yun Dai

We construct small-$x$ evolution equations which can be used to calculate quark and anti-quark helicity TMDs and PDFs, along with the $g_1$ structure function. These evolution equations resum powers of $\alpha_s \, \ln^2 (1/x)$ in the…

High Energy Physics - Phenomenology · Physics 2016-12-23 Yuri V. Kovchegov , Daniel Pitonyak , Matthew D. Sievert

Hard scattering processes involving hadrons at small $x$ are described by a $k_T$-factorization formula driven by a BFKL gluon. We explore the equivalence of this description to a collinear-factorization approach in which the anomalous…

High Energy Physics - Phenomenology · Physics 2016-09-01 J. Kwiecinski , A. D. Martin

We have measured the spin-dependent structure function $g_1^p$ of the proton in deep inelastic scattering of polarized muons off polarized protons, in the kinematic range $0.003<x<0.7$ and $1\,\mbox{GeV}^2<Q^2<60\,\mbox{GeV}^2$. Its first…

High Energy Physics - Phenomenology · Physics 2010-01-15 the SMC

We derive the full analytic expression for the QCD eikonal coupling of a quark-antiquark state to the exchanged gluon-gluon state in the BFKL formalism. The formula is valid for all conformal spin configurations of the quark-antiquark and…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Navelet , R. Peschanski

The smallness of the deuteron tensor spin structure function is the necessary condition to extract neutron $g_1$ function neglecting the nuclear effects. The oscillating behavior of the quark tensor spin structure function leading to the…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Efremov , O. V. Teryaev

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

We present the first calculation in lattice QCD of the lowest two moments of transverse spin densities of quarks in the nucleon. They encode correlations between quark spin and orbital angular momentum. Our dynamical simulations are based…

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , Ph. Hägler , R. Horsley , Y. Nakamura , D. Pleiter , P. E. L. Rakow , A. Schäfer , G. Schierholz , H. Stüben , J. M. Zanotti
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