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Gluon transverse-momentum dependent distributions (TMDs) are very important for revealing the internal structure of the proton. They correspond to a variety of experiments and are among the major tasks of the future electron-ion colliders.…

High Energy Physics - Phenomenology · Physics 2024-03-12 Hongyao Yu , Zhi Hu , Siqi Xu , Chandan Mondal , Xingbo Zhao , James P. Vary

Transverse Momentum Dependent (TMD) parton distribution functions (PDFs), in short referred to as TMDs, also take into account the transverse momentum (pT) of the partons. Just as the pT-integrated analogues we want to link them to quark…

High Energy Physics - Phenomenology · Physics 2015-06-17 M. G. A. Buffing , P. J. Mulders , A. Mukherjee

The twist-3 collinear factorization framework has drawn much attention in recent decades as a successful approach in describing the data for single spin asymmetries (SSAs). Many SSAs data have been experimentally accumulated in a variety of…

High Energy Physics - Phenomenology · Physics 2019-04-05 Hongxi Xing , Shinsuke Yoshida

We revisit the model-independent decomposition of the gluon correlator, producing T-even and T-odd gluon transverse momentum distributions (TMDs), at leading twist. We propose an expansion of the gluon correlator, using a basis of four…

High Energy Physics - Phenomenology · Physics 2021-07-05 Valery E. Lyubovitskij , Ivan Schmidt

We report on the status of a direct computation of the time-like splitting functions at next-to-next-to-leading order in QCD. Time-like splitting functions govern the collinear kinematics of inclusive hadron production and the evolution of…

High Energy Physics - Phenomenology · Physics 2015-10-28 Oleksandr Gituliar , Sven Moch

We study parton-branching solutions of QCD evolution equations and present a method to construct both collinear and transverse momentum dependent (TMD) parton densities from this approach. We work with next-to-leading-order (NLO) accuracy…

High Energy Physics - Phenomenology · Physics 2018-02-14 F. Hautmann , H. Jung , A. Lelek , V. Radescu , R. Zlebcik

We compute the gluon Sivers function $f_{1T}^{\perp g}(x,k_\perp)$ of the transversely polarized nucleon at small-$x$ by exploiting the known connection between the dipole gluon Sivers function and the Odderon. We numerically solve the…

High Energy Physics - Phenomenology · Physics 2019-02-01 Xiaojun Yao , Yoshikazu Hagiwara , Yoshitaka Hatta

We define twist-two and twist-three quark fragmentation functions in Quantum Chromodynamics (QCD) and study their physical implications. Using this formalism we show how the nucleon's transversity distribution can be measured in single pion…

High Energy Physics - Phenomenology · Physics 2010-11-01 R. L. Jaffe , Xiangdong Ji

We generalize the Catani Hautmann formalism to calculate the Pgq and Pqq transverse momentum dependent splitting functions. Then we use the obtained Pgq kernel to construct a low-x evolution equation for gluons that takes into account the…

High Energy Physics - Phenomenology · Physics 2017-08-29 A. Kusina

We revisit the evolution of generalised parton distributions (GPDs) at the leading order in the strong coupling constant $\alpha_s$ for all of the twist-2 quark and gluon operators. We rederive the relevant one-loop evolution kernels,…

High Energy Physics - Phenomenology · Physics 2024-02-16 Valerio Bertone , Rafael F. del Castillo , Miguel G. Echevarria , Óscar del Río , Simone Rodini

We show the new relationship [1] between the anomalous dimensions, resummed through next-to-next-to-leading-logarithmic order, in the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations for the first Mellin moments…

High Energy Physics - Phenomenology · Physics 2018-11-14 Bernd A. Kniehl , Anatoly V. Kotikov

We calculate the next-to-leading order perturbative QCD corrections to the transverse momentum weighted single transverse spin asymmetry in Drell-Yan lepton pair production in hadronic collisions. We identify the splitting function relevant…

High Energy Physics - Phenomenology · Physics 2009-07-30 Werner Vogelsang , Feng Yuan

In the QCD evolution of transverse momentum dependent parton distribution and fragmentation functions, the Collins-Soper evolution kernel includes both a perturbative short-distance contribution as well as a large-distance non-perturbative,…

High Energy Physics - Phenomenology · Physics 2014-05-28 C. A. Aidala , B. Field , L. P. Gamberg , T. C. Rogers

We show that already at the NLO level the DGLAP evolution kernel Pqq starts to depend on the choice of the evolution variable. We give an explicit example of such a variable, namely the maximum of transverse momenta of emitted partons and…

High Energy Physics - Phenomenology · Physics 2016-08-17 S. Jadach , A. Kusina , W. Placzek , M. Skrzypek

We present the numerical solution of the leading order QCD evolution equation for the orbital angular momentum distributions of quarks and gluons and discuss its implications for the nucleon spin sum rule. We observe that at small-$x$, the…

High Energy Physics - Phenomenology · Physics 2018-04-11 Yoshitaka Hatta , Dong-Jing Yang

Transverse-momentum dependent parton distributions (TMDs) are studied in the framework of quark models. Results for the six T-even TMDs are obtained from the overlap of three-quark light-cone wave functions, using both the chiral…

High Energy Physics - Phenomenology · Physics 2011-09-28 Cedric Lorce , Barbara Pasquini

We accomplish for the first time the next-to-leading-order QCD computations of the leading-twist contributions to the Dirac form factors of both the proton and the neutron by applying the hard-collinear factorization theorem rigorously. The…

High Energy Physics - Phenomenology · Physics 2024-07-29 Yong-Kang Huang , Bo-Xuan Shi , Yu-Ming Wang , Xue-Chen Zhao

The energy evolution of average multiplicities of quark and gluon jets is studied in perturbative QCD. Higher order (3NLO) terms in the perturbative expansion of equations for the generating functions are found. First and second derivatives…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Capella , I. M. Dremin , J. W. Gary , V. A. Nechitailo , J. Tran Thanh Van

We set up a formalism for calculating transverse-momentum-dependent parton distribution functions (TMDs) using the tools of saturation physics. By generalizing the quasi-classical Glauber-Gribov-Mueller/McLerran-Venugopalan approximation to…

High Energy Physics - Phenomenology · Physics 2015-12-31 Yuri V. Kovchegov , Matthew D. Sievert

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