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We derive relations between transverse momentum dependent distribution functions (TMDs) and the usual parton distribution functions (PDFs) in the 3D covariant parton model, which follow from Lorentz invariance and the assumption of a…

High Energy Physics - Phenomenology · Physics 2011-05-10 A. V. Efremov , P. Schweitzer , O. V. Teryaev , P. Zavada

Parametrizing TMD parton densities and fragmentation functions in ways that consistently match their large transverse momentum behavior in standard collinear factorization has remained notoriously difficult. We show how the problem is…

High Energy Physics - Phenomenology · Physics 2023-06-07 J. O. Gonzalez-Hernandez , T. Rainaldi , T. C. Rogers

QCD evolution equations can be recast in terms of parton branching processes. We present a new numerical solution of the equations. We show that this parton-branching solution can be applied to analyze infrared contributions to evolution,…

High Energy Physics - Phenomenology · Physics 2017-08-23 F. Hautmann , H. Jung , A. Lelek , V. Radescu , R. Zlebcik

We study the transverse momentum distributions of single inclusive hadron production in ${e^ + }{e^ - }$ annihilation processes. Although the only available experimental data are scarce and quite old, we find that the fundamental features…

High Energy Physics - Phenomenology · Physics 2017-06-21 M. Boglione , J. O. Gonzalez-Hernandez , R. Taghavi

A systematic extension of the Monte Carlo (MC) algorithm, that solves the DGLAP equation, into the so-called the one-loop CCFM evolution is presented. Modifications are related to a z-dependent coupling constant; transverse momentum…

High Energy Physics - Phenomenology · Physics 2014-11-18 K. Golec-Biernat , S. Jadach , W. Placzek , P. Stephens , M. Skrzypek

We perform calculations of Z+jet cross-section taking into account the transverse momenta of the initial partons. Transverse Momentum Dependent (TMD) parton densities obtained with the Parton Branching method are used and higher order…

High Energy Physics - Phenomenology · Physics 2019-05-15 M. Deak , A. van Hameren , H. Jung , A. Kusina , K. Kutak , M. Serino

We present the first simultaneous global QCD analysis of unpolarized transverse momentum dependent (TMD) and collinear parton distribution functions (PDFs) in the proton. Our study incorporates data from deep-inelastic scattering,…

High Energy Physics - Phenomenology · Physics 2025-10-16 P. C. Barry , A. Prokudin , T. Anderson , C. Cocuzza , L. Gamberg , W. Melnitchouk , E. Moffat , D. Pitonyak , J. -W. Qiu , N. Sato , A. Vladimirov , R. M. Whitehill

We consider the definition of unpolarized transverse-momentum-dependent parton distribution functions while staying on-the-light-cone. By imposing a requirement of identical treatment of two collinear sectors, our approach, compatible with…

High Energy Physics - Phenomenology · Physics 2015-06-11 Miguel G. Echevarria , Ahmad Idilbi , Ignazio Scimemi

Transverse-momentum-dependent parton distribution functions are analyzed in semi-inclusive deep inelastic scattering at low transverse momentum using soft-collinear effective theory. The transverse-momentum-dependent parton distribution…

High Energy Physics - Phenomenology · Physics 2007-11-29 Junegone Chay

The Boer-Mulders transverse momentum-dependent parton distribution (TMD) characterizes polarized quark transverse momentum in an unpolarized hadron. Techniques previously developed for lattice calculations of nucleon TMDs are applied to the…

High Energy Physics - Lattice · Physics 2013-11-01 M. Engelhardt , B. Musch , P. Hägler , J. Negele , A. Schäfer

In this paper, we use a multi-phase transport model to simulate the parton evolution time-dependent transverse asymmetry in peripheral Pb-Pb (b=14-15 fm) and p-Pb (b=0-1 fm) collisions at $\sqrt{s_{NN}}$= 5.02 TeV, respectively. The…

Nuclear Theory · Physics 2021-10-26 De-Xian Wei

We compute the contribution of twist-2 and twist-3 parton distribution functions to the small-$b$ expansion for transverse momentum dependent (TMD) distributions at all powers of $b$. The computation is done by the twist-decomposition…

High Energy Physics - Phenomenology · Physics 2020-08-06 Valentin Moos , Alexey Vladimirov

We present the extraction of unpolarized quark transverse momentum dependent parton distribution functions (TMDPDFs) and the non-perturbative part of TMD evolution kernel from the global analysis of Drell-Yan and $Z$-boson production data.…

High Energy Physics - Phenomenology · Physics 2019-06-26 Valerio Bertone , Ignazio Scimemi , Alexey Vladimirov

The transverse momentum dependent (TMD) and collinear higher twist theoretical factorization frameworks are the most frequently used approaches to describing spin dependent hard cross sections weighted by and integrated over transverse…

High Energy Physics - Phenomenology · Physics 2020-08-03 Jian-Wei Qiu , Ted C. Rogers , Bowen Wang

We reconsider the evolution equations for transverse momentum dependent distributions recently proposed by us and recast them in a form which allows the comparison with results recently appeared in the literature. We show under which…

High Energy Physics - Phenomenology · Physics 2018-05-09 Federico Alberto Ceccopieri , Luca Trentadue

The transverse momentum dependent distributions (TMD) are an essential part of the factorization theorems in vector boson production. They are non-perturbative, double scale dependent functions that asymptotically match onto collinear…

High Energy Physics - Phenomenology · Physics 2022-05-13 Ignazio Scimemi

The calculations of $Z + b{\bar b}$ tagged jet production performed in the four- and five-flavour schemes allow for detailed comparison of the heavy flavour structure of collinear and transverse momentum dependent (TMD) parton distributions…

High Energy Physics - Phenomenology · Physics 2021-06-21 H. Jung , S. Taheri Monfared

We discuss in detail a method to study transverse momentum dependent parton distribution functions (TMDs) using lattice QCD. To develop the formalism and to obtain first numerical results, we directly implement a bi-local quark-quark…

High Energy Physics - Lattice · Physics 2012-07-17 Bernhard U. Musch , Philipp Hägler , John W. Negele , Andreas Schäfer

Hadron production at low transverse momenta in semi-inclusive deep inelastic scattering can be described by transverse momentum dependent (TMD) factorization. This formalism has also been widely used to study the Drell-Yan process and…

High Energy Physics - Phenomenology · Physics 2021-01-01 Zhong-Bo Kang , Alexei Prokudin , Nobuo Sato , John Terry

We calculate in this paper the perturbative gluon transverse momentum dependent parton distribution functions (TMDPDFs) and fragmentation functions (TMDFFs) using the exponential regulator for rapidity divergences. We obtain results for…

High Energy Physics - Phenomenology · Physics 2020-01-29 Ming-Xing Luo , Tong-Zhi Yang , Hua Xing Zhu , Yu Jiao Zhu
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