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The singular behaviour of QCD squared amplitudes in the collinear limit is factorized and controlled by splitting kernels with a process-independent structure. We use these kernels to define collinear functions that can be used in QCD…

High Energy Physics - Phenomenology · Physics 2023-04-11 Stefano Catani , Prasanna K. Dhani

The summation of the small x-corrections to hard-scattering QCD amplitudes by collinear factorisation method is reconsidered and the K-factor is derived in leading ln x approximation with a result differing from the corresponding expression…

High Energy Physics - Phenomenology · Physics 2016-11-25 R. Kirschner , M. Segond

We compute the tree-level and one-loop matching relations for leading power gluon transverse momentum dependent parton distribution functions. At tree-level, working within the spinor formalism, we focus on twist-2 and twist-3…

High Energy Physics - Phenomenology · Physics 2026-05-11 Alessio Carmelo Alvaro , Nanako Kato , Barbara Pasquini , Cristian Pisano , Simone Rodini

The occurrence of the Bloom-Gilman local duality in the low-order moments of the nucleon structure function is investigated for values of the squared four-momentum transfer Q**2 between ~ 0.5 and 10 (GeV/c)**2. At variance with previous…

Nuclear Theory · Physics 2009-10-31 Silvano Simula

The transverse momentum dependent (TMD) factorization theorem accommodates various types of power corrections. Among them, the least studied are qT/Q corrections, which become significant at large values of transverse momentum. These…

High Energy Physics - Phenomenology · Physics 2025-04-01 Arturo Arroyo-Castro , Ignazio Scimemi , Alexey Vladimirov

We analyse the available data on the polarized asymmetries $A_1$ for proton, neutron and deuteron targets. We use a homogeneous and updated set of unpolarized structure functions to derive $g_1$ from $A_1$, and we accurately correct for the…

High Energy Physics - Phenomenology · Physics 2009-10-22 G. Altarelli , P. Nason , G. Ridolfi

We study the transverse single-spin asymmetry for single-hadron production in proton-proton collisions within the framework of collinear twist-3 factorization in Quantum Chromodynamics. By taking into account the contribution due to parton…

High Energy Physics - Phenomenology · Physics 2015-06-19 K. Kanazawa , Y. Koike , A. Metz , D. Pitonyak

We construct a theoretical framework to match the formulas for forward inclusive hadron productions in pA collisions in the small-x saturation formalism and collinear factorization. The small-x calculation can be viewed as a power series in…

High Energy Physics - Phenomenology · Physics 2014-07-30 Anna M. Staśto , Bo-Wen Xiao , Feng Yuan , David Zaslavsky

We study the cross section for vector boson ($W^{\pm}/Z^0/\gamma^*$) production in polarized nucleon-nucleon collisions for low transverse momentum of the observed vector boson. For the case where one measures the transverse momentum and…

High Energy Physics - Phenomenology · Physics 2016-02-05 Jin Huang , Zhong-Bo Kang , Ivan Vitev , Hongxi Xing

The spin-dependent cross sections for semi-inclusive lepton-nucleon scattering are derived in the framework of collinear factorization, including the effects of masses of the target and produced hadron at finite momentum transfer squared…

High Energy Physics - Phenomenology · Physics 2015-10-28 J. V. Guerrero , J. J. Ethier , A. Accardi , S. W. Casper , W. Melnitchouk

The collinear factorization at twist-3 for Drell-Yan processes is studied with the motivation to solve the discrepancy in literature about the single spin asymmetry in the lepton angular distribution, and to show how QCD gauge invariance is…

High Energy Physics - Phenomenology · Physics 2015-06-22 J. P. Ma , G. P. Zhang

We study single spin asymmetries at one-loop accuracy in semi-inclusive DIS with a transversely polarized hadron in the initial state. Two measurable spin observables are predicted in the framework of QCD collinear factorization. One of the…

High Energy Physics - Phenomenology · Physics 2018-04-17 A. P. Chen , J. P. Ma , G. P. Zhang

I discuss several corrections to leading twist calculations of nucleon structure functions which are needed to include experimental data at large parton fractional momentum x and at low scales Q^2 in global fits of parton distribution…

High Energy Physics - Phenomenology · Physics 2015-05-27 Alberto Accardi

The breakdown of azimuthal two-particle correlation factorization, quantified by the ratios $r_2$ and $r_3$, serves as a sensitive probe of transverse-momentum-dependent flow fluctuations. While hydrodynamic models predict $r_3 \leq 1$,…

Nuclear Theory · Physics 2026-01-28 Jia-Lin Pei , Guo-Liang Ma , Adam Bzdak

Quark mass corrections to the spin partonic structure function g_1(x,Q^2) and function F_3(x,Q^2) are obtained at the order O(alpha_s) along with the coefficient functions C^{(A)} and C^{(V)} related to the Bjorken and…

High Energy Physics - Phenomenology · Physics 2008-02-03 O. V. Teryaev , O. L. Veretin

Knowledge of parton distribution functions (PDFs) at large momentum fraction $ x $ is not only important to study the flavor and spin dynamics of quarks in the nucleon, but also to search for signals of new physics at collider experiments.…

High Energy Physics - Phenomenology · Physics 2020-04-22 Muhammad Goharipour , S. Rostami

Two factorization approaches have been proposed for single transverse spin asymmetries. One is the collinear factorization, another is the transverse-momentum-dependent factorization. They have been previously derived in a formal way by…

High Energy Physics - Phenomenology · Physics 2014-11-18 H. G. Cao , J. P. Ma , H. Z. Sang

Structure functions of polarized spin-1 hadrons will be measured at various accelerator facilities in the near future. Recently, transverse-momentum-dependent and collinear parton distribution functions were theoretically proposed at twist…

High Energy Physics - Phenomenology · Physics 2022-01-27 S. Kumano , Qin-Tao Song

The collinear factorization theorem, combined with finite-order calculations in perturbative QCD, provides a powerful framework to obtain predictions for many collider observables. However, for observables which involve multiple energy…

High Energy Physics - Phenomenology · Physics 2022-02-03 Aleksandra Lelek

The complete next to leading logarithmic (${\cal O}(\alpha_{s})$) corrections to the spin dependent weak deep inelastic structure functions $g_{1},g_{3}$ and $g_{4}$, are calculated using dimensional regularization within the HVBM method.…

High Energy Physics - Phenomenology · Physics 2010-11-01 D. de Florian , R. Sassot