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We construct a set of parton distribution functions (PDFs) in which fixed-order NLO and NNLO calculations are supplemented with soft-gluon (threshold) resummation up to NLL and NNLL accuracy respectively, suitable for use in conjunction…

High Energy Physics - Phenomenology · Physics 2015-10-13 Marco Bonvini , Simone Marzani , Juan Rojo , Luca Rottoli , Maria Ubiali , Richard D. Ball , Valerio Bertone , Stefano Carrazza , Nathan P. Hartland

A new and simple statistical approach is performed to calculate the parton distribution functions (PDFs) of the nucleon in terms of light-front kinematic variables. Analytic expressions of x-dependent PDFs are obtained in the whole x…

High Energy Physics - Phenomenology · Physics 2011-04-07 Lijing Shao , Yunhua Zhang , Bo-Qiang Ma

We complete the procedure of extracting parton distribution functions (PDFs) using large momentum effective theory (LaMET) at leading power accuracy in the hadron momentum. We derive a general factorization formula for the quasi PDFs in the…

High Energy Physics - Phenomenology · Physics 2020-11-11 Wei Wang , Jian-Hui Zhang , Shuai Zhao , Ruilin Zhu

The unprecedented precision of experimental measurements at the Large Hadron Collider (LHC) and the increased statistics that will be reached in the High-Luminosity phase of the LHC (HL-LHC) are pushing the phenomenology community to a new…

High Energy Physics - Phenomenology · Physics 2024-04-15 Maria Ubiali

We revisit the calculation of the evolution equations for four unpolarized twist-3 transverse momentum dependent (TMD) parton distribution functions (PDFs) at $\mathcal {O}(\alpha_s)$. Unlike the existing calculations in the literature,…

High Energy Physics - Phenomenology · Physics 2025-07-01 Xue-Tao Liu , Ping-An Liu , Yu-Lu Liu , An-Ping Chen

Twist-3 collinear parton distribution functions (PDFs) are matrix elements of quark-gluon-quark or three-gluons light-cone operators. They depend on three momentum fraction variables, which are restricted to a hexagon region, and the…

High Energy Physics - Phenomenology · Physics 2024-07-10 Simone Rodini , Lorenzo Rossi , Alexey Vladimirov

In this paper we consider the parametrizations of gluon transverse momentum dependent (TMD) correlators in terms of TMD parton distribution functions (PDFs). These functions, referred to as TMDs, are defined as the Fourier transforms of…

High Energy Physics - Phenomenology · Physics 2016-11-03 Daniël Boer , Sabrina Cotogno , Tom van Daal , Piet J. Mulders , Andrea Signori , Ya-Jin Zhou

We present the first lattice quantum chromodynamics (QCD) calculation of the pion valence-quark transverse-momentum-dependent parton distribution function (TMDPDF) within the framework of large-momentum effective theory (LaMET). Using…

High Energy Physics - Lattice · Physics 2025-10-09 Dennis Bollweg , Xiang Gao , Jinchen He , Swagato Mukherjee , Yong Zhao

We propose to introduce the intrinsic transversal momentum distribution functions (iTMDs), in conjunction with the light-cone distribution amplitudes (LCDAs), to elucidate the probability amplitude of encountering a meson state wherein the…

High Energy Physics - Phenomenology · Physics 2025-03-25 Jian Chai , Shan Cheng

Transverse momentum dependent (TMD) parton distributions in a proton are important in high energy physics from both theoretical and phenomenological points of view. Using the latest RHIC and LHC data on the inclusive soft hadron production…

High Energy Physics - Phenomenology · Physics 2018-09-19 N. A. Abdulov , H. Jung , A. V. Lipatov , G. I. Lykasov , M. A. Malyshev

We have investigated the unpolarized valence quark generalized parton distribution functions (GPDs) and parton distribution functions (PDFs) for heavy spin-$0$, $B$- and $D$-mesons in the light-front quark model (LFQM). PDFs have been…

High Energy Physics - Phenomenology · Physics 2024-08-16 Satyajit Puhan , Harleen Dahiya

We compute the quark and gluon transverse momentum dependent parton distribution functions at next-to-next-to-next-to-leading order (N$^3$LO) in perturbative QCD. Our calculation is based on an expansion of the differential Higgs boson and…

High Energy Physics - Phenomenology · Physics 2020-10-28 Markus A. Ebert , Bernhard Mistlberger , Gherardo Vita

The main aim of this paper is a new determination of transverse momentum dependence of unpolarized fragmentation function (TMD FFs) in single inclusive hadron production in electron-positron annihilation (SIA) process. Motivated by the need…

High Energy Physics - Phenomenology · Physics 2019-12-04 Maryam Soleymaninia , Hamzeh Khanpour

We propose an analysis method for the leading-twist operator product expansion based lattice QCD determinations of the valence parton distribution function (PDF). In the first step, we determine the confidence-intervals of the leading-twist…

High Energy Physics - Lattice · Physics 2021-10-08 Nikhil Karthik , Raza Sabbir Sufian

Recently the LHCb collaboration has measured both longitudinal and transverse momentum distribution of hadrons produced inside $Z$-tagged jets in proton-proton collisions at the Large Hadron Collider. These distributions are commonly…

High Energy Physics - Phenomenology · Physics 2021-01-01 Zhong-Bo Kang , Kyle Lee , John Terry , Hongxi Xing

We examine the QCD evolution of the helicity and transversity parton distribution functions when including also their dependence on transverse momentum. Using an appropriate definition of these polarized transverse momentum distributions…

High Energy Physics - Phenomenology · Physics 2015-06-15 Alessandro Bacchetta , Alexei Prokudin

To study the heavy quark production processes, we use the transverse momentum dependent (TMD, or unintegrated) gluon distribution function in a proton obtained recently using the Kimber-Martin-Ryskin prescription from the Bessel-inspired…

High Energy Physics - Phenomenology · Physics 2021-10-04 A. V. Kotikov , A. V. Lipatov , P. Zhang

There has been overwhelming evidence that coherent structures play a critical role in determining the overall transport in a variety of systems. We compute the probability distribution function (PDF) tails of momentum flux and heat flux in…

Plasma Physics · Physics 2009-11-13 Johan Anderson , Eun-jin Kim

Previous Lattice QCD calculations of nucleon transverse momentum-dependent parton distributions (TMDs) focused on the case of transversely polarized nucleons, and thus did not encompass two leading-twist TMDs associated with longitudinal…

High Energy Physics - Lattice · Physics 2023-01-18 M. Engelhardt , N. Hasan , T. Izubuchi , C. Kallidonis , S. Krieg , S. Meinel , J. Negele , A. Pochinsky , G. Silvi , S. Syritsyn

An overwhelming number of theoretical predictions for hadron colliders require parton distribution functions (PDFs), which are an important ingredient of theory infrastructure for the next generation of high-energy experiments. This…