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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

We study the transverse momentum dependent (TMD) parton distributions in the newly proposed quasi-parton distribution function framework in Euclidean space. A soft factor subtraction is found to be essential to make the TMDs calculable on…

High Energy Physics - Phenomenology · Physics 2015-04-16 Xiangdong Ji , Peng Sun , Xiaonu Xiong , Feng Yuan

The transverse-momentum-dependent (TMD) soft function is a key ingredient in QCD factorization of Drell-Yan and other processes with relatively small transverse momentum. We present a lattice QCD study of this function at moderately large…

High Energy Physics - Lattice · Physics 2020-11-11 Qi-An Zhang , Jun Hua , Yikai Huo , Xiangdong Ji , Yizhuang Liu , Yu-Sheng Liu , Maximilian Schlemmer , Andreas Schäfer , Peng Sun , Wei Wang , Yi-Bo Yang

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 hadronization of a high-energy parton is described by fragmentation functions which are introduced through QCD factorizations. While the hadronization mechanism per se remains uknown, fragmentation functions can still be investigated…

High Energy Physics - Phenomenology · Physics 2023-07-07 Kai-Bao Chen , Tianbo Liu , Yu-Kun Song , Shu-Yi Wei

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

We show that transverse-momentum-dependent parton distribution functions (TMDPDFs), important non-perturbative quantities for describing the properties of hadrons in high-energy scattering processes such as Drell-Yan and semi-inclusive…

High Energy Physics - Phenomenology · Physics 2020-12-30 Xiangdong Ji , Yizhuang Liu , Yu-Sheng Liu

We study transverse-momentum-dependent (TMD) gluon distributions and factorization theorems for the gluon-initiated semi-inclusive processes at hadron colliders. Gauge-invariant TMD gluon distributions are defined, and their relations to…

High Energy Physics - Phenomenology · Physics 2009-11-11 Xiangdong Ji , Jian-Ping Ma , Feng Yuan

I review the basics of the collinear factorization theorem applied primarily to deep inelastic scattering (DIS) involving forward parton distributions (PDFs) and the extensions of this theorem for exclusive processes probing non-forward…

High Energy Physics - Phenomenology · Physics 2015-03-20 Lech Szymanowski

We show that the geometry of the Wilson lines, entering the operator definition of the transverse-momentum dependent parton distributions and that of the soft factor, follows from the kinematics of the underlying physical process in…

High Energy Physics - Phenomenology · Physics 2014-04-08 A. A. Vladimirov , N. G. Stefanis

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 investigate the predictive power of transverse-momentum-dependent (TMD) distributions as a function of the light-cone momentum fraction $x$ and the hard scale $Q$ defined by the process. We apply the saddle point approximation to the…

High Energy Physics - Phenomenology · Physics 2020-07-03 Manvir Grewal , Zhong-Bo Kang , Jian-Wei Qiu , Andrea Signori

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 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

In this work we consider how a parton distribution function, with an explicit transverse momentum dependence can be properly defined in a regularization-scheme independent manner. We argue that by considering a factorized form of the…

High Energy Physics - Phenomenology · Physics 2015-06-12 Miguel G. Echevarria , Ahmad Idilbi , Ignazio Scimemi

If studies of electroweak gauge boson final states at the Large Hadron Collider, for Standard Model physics and beyond, are sensitive to effects of the initial state's transverse momentum distribution, appropriate generalizations of QCD…

High Energy Physics - Phenomenology · Physics 2015-06-19 S. Dooling , F. Hautmann , H. Jung

We study a transverse momentum dependent (TMD) factorization framework for the processes of di-jet and heavy meson pair production in deep-inelastic-scattering in an electron-proton collider, considering the measurement of the transverse…

High Energy Physics - Phenomenology · Physics 2021-02-03 Rafael F. del Castillo , Miguel G. Echevarria , Yiannis Makris , Ignazio Scimemi

Using soft collinear effective field theory, we derive the factorization theorem for the quasi-transverse-momentum-dependent (quasi-TMD) operator. We check the factorization theorem at one-loop level and compute the corresponding…

High Energy Physics - Phenomenology · Physics 2020-05-06 Alexey A. Vladimirov , Andreas Schäfer

We demonstrate a factorization formula for semi-inclusive deep-inelastic scattering with hadrons in the current fragmentation region detected at low transverse momentum. To facilitate the factorization, we introduce the transverse-momentum…

High Energy Physics - Phenomenology · Physics 2011-08-01 Xiangdong Ji , Jian-ping Ma , Feng Yuan

We discuss different operator definitions of the transverse-momentum dependent (TMD) parton densities from the point of view of their renormalization-group (RG) properties and UV evolution. We also consider the structure of the gauge links…

High Energy Physics - Phenomenology · Physics 2011-04-04 I. O. Cherednikov , N. G. Stefanis
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