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We derive a factorization theorem for Drell-Yan process at low q_T using effective field theory methods. In this theorem all the obtained quantities are gauge invariant and the special role of the soft function--and its subtraction…

High Energy Physics - Phenomenology · Physics 2015-06-03 Miguel G. Echevarria , Ahmad Idilbi , Ignazio Scimemi

We discuss possible applications of the equations of motion in the generalized Wilson loop space to the phenomenology of the three-dimensional parton distribution functions in the large-$x_B$ approximation. This regime is relevant for…

High Energy Physics - Phenomenology · Physics 2014-01-09 I. O. Cherednikov , T. Mertens , P. Taels , F. F. Van der Veken

The operator definition of generalised transverse-momentum-dependent (GTMD) distributions is exploited to compute for the first time the full set of one-loop corrections to the off-forward matching functions. These functions allow one to…

High Energy Physics - Phenomenology · Physics 2022-11-09 Valerio Bertone

We show at NNLO that the soft factors for double parton scattering (DPS) for both integrated and unintegrated kinematics, can be presented entirely in the terms of the soft factor for single Drell-Yan process, i.e. the transverse momentum…

High Energy Physics - Phenomenology · Physics 2017-02-01 Alexey Vladimirov

Recent BELLE measurements provide the cross section for single hadron production in $e^+e^-$ annihilations, differential in thrust and in the hadron transverse momentum with respect to the thrust axis. Universality breaking effects due to…

High Energy Physics - Phenomenology · Physics 2021-02-24 M. Boglione , A. Simonelli

We present analytical expressions for the Transverse Momentum Dependent (TMD, or unintegrated) gluon and quark densities in a proton derived at leading order of QCD running coupling and valid at both small and large x. The calculations are…

High Energy Physics - Phenomenology · Physics 2025-02-27 A. V. Kotikov , A. V. Lipatov

The role of soft gluons in inclusive collinear parton densities as well as in Transverse Momentum Dependent (TMD) parton densities is discussed. Applying the Parton-Branching (PBM) method, the so-called non-perturbative Sudakov form factor…

High Energy Physics - Phenomenology · Physics 2024-05-24 H. Jung

Collinear and transverse momentum dependent (TMD) parton densities are obtained from fits to precision measurements of deep inelastic scattering (DIS) cross sections at HERA. The parton densities are evolved by DGLAP evolution with…

High Energy Physics - Phenomenology · Physics 2019-04-17 A. Bermudez Martinez , P. Connor , F. Hautmann , H. Jung , A. Lelek , V. Radescu , R. Zlebcik

We show possible transverse-momentum-dependent parton distribution functions (TMDs) for spin-1 hadrons including twist-3 and 4 functions in addition to the leading twist-2 ones by investigating all the possible decomposition of a quark…

High Energy Physics - Phenomenology · Physics 2021-05-12 S. Kumano , Qin-Tao Song

Parton branching methods underlie the Monte Carlo (MC) generators, being therefore of key importance for obtaining high energy physics predictions. We construct a new parton branching algorithm which for the first time incorporates the…

High Energy Physics - Phenomenology · Physics 2023-01-02 Aleksandra Lelek

The color gauge-invariant transverse momentum dependent (TMD) quark correlators contain process dependent gauge links in the bilocal matrix elements. In this paper, we split these process dependent correlators into universal TMD…

High Energy Physics - Phenomenology · Physics 2013-05-30 M. G. A. Buffing , A. Mukherjee , P. J. Mulders

We discuss prospects for Monte Carlo event generators incorporating the dynamics of transverse momentum dependent (TMD) parton distribution functions. We illustrate TMD evolution in the parton branching formalism, and present Monte Carlo…

High Energy Physics - Phenomenology · Physics 2019-07-09 F. Hautmann

We evaluate the pion and kaon transverse momentum dependent parton distribution functions (TMDPDFs) in the instanton liquid model (ILM), a model of the QCD vacuum at low resolution. The relevant TMDs are factored into a constituent quark…

High Energy Physics - Phenomenology · Physics 2025-10-31 Wei-Yang Liu , Ismail Zahed

I review TMD factorization and evolution theorems, with an emphasis on the treatment by Collins and originating in the Collins-Soper-Sterman (CSS) formalism. I summarize basic results while attempting to trace their development over that…

High Energy Physics - Phenomenology · Physics 2016-07-20 Ted C. Rogers

The Parton Branching (PB) Method describes the evolution of transverse momentum dependent parton densities (TMDs). The obtained TMDs can be used in Monte Carlo generators to describe physical observables. We give an overview of recent…

High Energy Physics - Phenomenology · Physics 2021-11-04 Lissa Keersmaekers , Sara Taheri Monfared

At hadron colliders, the differential cross section for $W$ production can be factorized and it is sensitive transverse momentum dependent distributions (TMD) for low boson transverse momentum. While, often, the corresponding…

High Energy Physics - Phenomenology · Physics 2021-06-02 Daniel Gutierrez-Reyes , Sergio Leal-Gomez , Ignazio Scimemi

We consider the definition of a transverse-momentum-dependent parton distribution function (TMDPDF) and its evolution properties given a factorization theorem of Drell- Yan lepton pair production with a non-vanishing transverse momentum. We…

High Energy Physics - Phenomenology · Physics 2015-06-17 Miguel G. Echevarria , Ahmad Idilbi , Ignazio Scimemi

We discuss the evolution of the eight leading twist transverse momentum dependent parton distribution functions, which turns out to be universal and spin independent. By using the highest order perturbatively calculable ingredients at our…

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

Off-shell, transverse-momentum dependent splitting functions can be defined from the high-energy limit of partonic decay amplitudes. Based on these splitting functions, we construct Sudakov form factors and formulate a new parton branching…

High Energy Physics - Phenomenology · Physics 2022-07-27 F. Hautmann , M. Hentschinski , L. Keersmaekers , A. Kusina , K. Kutak , A. Lelek

Transverse-momentum-dependent distributions (TMDs) are central in high-energy physics from both theoretical and phenomenological points of view. In this manual we introduce the library, TMDlib, of fits and parameterisations for…

High Energy Physics - Phenomenology · Physics 2015-06-22 F. Hautmann , H. Jung , M. Krämer , P. J. Mulders , E. R. Nocera , T. C. Rogers , A. Signori