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An explicit evaluation of the two pion transverse momentum dependent parton distributions at leading twist is presented, in the framework of the Nambu-Jona Lasinio model with Pauli-Villars regularization. The transverse momentum dependence…

High Energy Physics - Phenomenology · Physics 2016-01-20 Santiago Noguera , Sergio Scopetta

We extend our previous derivation of an exact expression for the leading-order (LO) gluon distribution function $G(x,Q^2)=xg(x,Q^2)$ from the DGLAP evolution equation for the proton structure function $F_2^{\gamma p}(x,Q^2)$ for deep…

High Energy Physics - Phenomenology · Physics 2009-02-13 Martin M. Block , Loyal Durand

We provide a concise overview on transverse momentum dependent (TMD) parton distribution functions, their application to topical issues in high-energy physics phenomenology, and their theoretical connections with QCD resummation, evolution…

The complete QCD evolution equation for factorial moments in quark and gluon jets is numerically solved with initial conditions at threshold by fully taking into account the energy-momentum conservation law. Within the picture of Local…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sergio Lupia

Transverse-momentum dependent parton distributions (TMDs) are studied in the framework of quark models. In particular, quark model relations among TMDs are reviewed and their physical origin is discussed in terms of rotational-symmetry…

High Energy Physics - Phenomenology · Physics 2015-05-28 Cedric Lorce , Barbara Pasquini

We derive the next-to-leading order splitting kernels for the scale evolution of fragmentation functions for transversely polarized quarks into transversely polarized hadrons.

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Stratmann , W. Vogelsang

We recover in QCD an amazingly simple relationship between the anomalous dimensions, resummed through next-to-next-to-leading-logarithmic order, in the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equations for the first Mellin…

High Energy Physics - Phenomenology · Physics 2017-02-13 Bernd A. Kniehl , Anatoly V. Kotikov

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

The properties of the non-forward quark-quark correlation function are examined. We derive constraints on the correlation function from the transformation properties of the fundamental fields of QCD occurring in its definition. We further…

High Energy Physics - Phenomenology · Physics 2008-11-26 Sabrina Casanova

Building on the first-ever application of neural networks in TMD phenomenology: "Extraction of the Sivers function with deep neural networks", we now present a momentum space, physics-informed deep learning framework for the direct…

High Energy Physics - Phenomenology · Physics 2026-05-05 I. P. Fernando , D. Keller

Exploiting an evolution scheme for parton distribution functions (DFs) that is all-orders exact, contemporary lattice-QCD (lQCD) results for low-order Mellin moments of the pion valence quark DF are shown to be mutually consistent. The…

High Energy Physics - Phenomenology · Physics 2023-11-16 Ya Lu , Yin-Zhen Xu , Khépani Raya , Craig D. Roberts , José Rodríguez-Quintero

We propose a system of evolution equations that describe in-medium time-evolution of transverse-momentum-dependent quark and gluon fragmentation functions. Furthermore, we solve this system of equations using Monte Carlo methods. We then…

High Energy Physics - Phenomenology · Physics 2022-06-07 E. Blanco , K. Kutak , W. Placzek , M. Rohrmoser , K. Tywoniuk

We have investigated the pseudo-scalar meson structure in the form of transverse momentum-dependent parton distribution functions (TMDs) in the light-front based holographic model and quark model. Starting from leading order, we have…

High Energy Physics - Phenomenology · Physics 2024-05-02 Satyajit Puhan , Shubham Sharma , Navpreet Kaur , Narinder Kumar , Harleen Dahiya

Using our formalism of parton virtuality distribution functions (VDFs) we establish a connection between the transverse momentum dependent distributions (TMDs) ${\cal F} (x, k_\perp^2)$ and quasi-distributions $Q(y,P_z)$ introduced recently…

High Energy Physics - Phenomenology · Physics 2017-02-15 Anatoly Radyushkin

We study the energy or TMD evolution of the three leading twist dipole type T-odd gluon TMDs inside a transversely polarized nucleon, all of which at small $x$ dynamically originate from the spin dependent odderon. Their energy dependence…

High Energy Physics - Phenomenology · Physics 2022-06-01 Daniël Boer , Yoshikazu Hagiwara , Jian Zhou , Ya-jin Zhou

In order to study twist-3 and transverse momentum dependent parton distributions, we use light-front time-ordered pQCD at order $\alpha_s$ to calculate various distribution functions for a dressed quark target. This study enables us to…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. Kundu , A. Metz

We study the effects of next-to-leading order corrections on the evolution of the twist-two non-forward parton distribution functions in the flavour non-singlet sector. It is found that the deviation from leading order evolution is small…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. V. Belitsky , D. Mueller , L. Niedermeier , A. Schaefer

The boost invariant longitudinal position space variable $\sigma$, which is the Fourier conjugate to skewness $\xi$, unravels the longitudinal impact parameter information in a proton. Here, we investigate the skewness sensitivity of T-odd…

High Energy Physics - Phenomenology · Physics 2026-04-28 Tanmay Maji

The partons' transverse momentum can be explored with QCD lattice simulations by studying the quasi-transverse-momentum-dependent parton distribution functions (qTMDPDFs), which are factorized in terms of physical TMDPDFs and soft factors…

High Energy Physics - Phenomenology · Physics 2023-12-19 Óscar del Río , Alexey Vladimirov

We present the next-to-next-to-leading order (NNLO) contributions to the main splitting functions for the evolution of longitudinally polarized parton densities of hadrons in perturbative QCD. The quark-quark and gluon-quark splitting…

High Energy Physics - Phenomenology · Physics 2015-06-22 S. Moch , J. A. M. Vermaseren , A. Vogt