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We give a description of double parton scattering with measured transverse momenta in the final state, extending the formalism for factorisation and resummation developed by Collins, Soper and Sterman for the production of colourless…

High Energy Physics - Phenomenology · Physics 2021-06-15 Maarten G. A. Buffing , Markus Diehl , Tomas Kasemets

In this review, we describe the status of transverse momentum dependence (TMD) in double parton scattering (DPS). The different regions of TMD DPS are discussed, and expressions given for the DPS cross section contributions that make use of…

High Energy Physics - Phenomenology · Physics 2019-02-18 Jonathan R. Gaunt , Tomas Kasemets

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

In this article, we review recent lattice calculations on the $x$-dependence of parton distributions, with the latter providing information on hadron structure. These calculations are based on matrix elements of boosted hadrons coupled to…

High Energy Physics - Lattice · Physics 2021-03-17 Martha Constantinou

We calculate the perturbative $T$-odd contributions to the lepton angular distribution in the Drell-Yan process. Using collinear factorization, we work at the first order in QCD perturbation theory where these contributions appear, ${\cal…

High Energy Physics - Phenomenology · Physics 2024-06-14 Valery E. Lyubovitskij , Werner Vogelsang , Fabian Wunder , Alexey S. Zhevlakov

We study the one-loop correction in Transverse-Momentum-Dependent(TMD) factorization for Drell-Yan processes at small transverse momentum of the lepton pair. We adopt the so-called subtractive approach, in which one can systematically…

High Energy Physics - Phenomenology · Physics 2014-04-09 J. P. Ma , G. P. Zhang

We revisit the standard representation of the (inverse) Radon transform which is well-known in the mathematical literature. We extend this representation to the case involving the parton distributions. We have found the new additional…

High Energy Physics - Phenomenology · Physics 2019-12-04 I. V. Anikin , L. Szymanowski

Transverse momentum dependent parton distribution functions are a key ingredient in the description of spin and azimuthal asymmetries in deep-inelastic scattering processes. Recent results from non-perturbative calculations in effective…

High Energy Physics - Phenomenology · Physics 2010-02-04 H. Avakian , A. V. Efremov , P. Schweitzer , O. V. Teryaev , F. Yuan , P. Zavada

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

Transverse-momentum dependent (TMD) light-cone wave functions of a light meson are important ingredients in the TMD QCD factorization of exclusive processes. This factorization allows one conveniently resum Sudakov logarithms appearing in…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. P. Ma , Q. Wang

We discuss the measurement of gluon transverse momentum distribution (TMD) in dijet and heavy hadron pair (HHP) production in semi-inclusive deep inelastic scattering. The factorization of these processes in impact parameter space shows the…

High Energy Physics - Phenomenology · Physics 2022-03-14 Rafael F. del Castillo , Miguel G. Echevarria , Yiannis Makris , Ignazio Scimemi

We calculate transverse momentum dependent quark splitting kernels $P_{gq}$ and $P_{qq}$ within $k_T$-factorization, completing earlier results which concentrated on gluon splitting functions $P_{gg}$ and $P_{qg}$. The complete set of…

High Energy Physics - Phenomenology · Physics 2016-03-23 Oleksandr Gituliar , Martin Hentschinski , Krzysztof Kutak

Fracture functions are parton distributions of an initial hadron in the presence of an almost collinear particle observed in the final state. They are important ingredients in QCD factorization for processes where a particle is produced…

High Energy Physics - Phenomenology · Physics 2020-01-08 X. P. Chai , K. B. Chen , J. P. Ma , X. B. Tong

We consider the color gauge invariance of a factorized description of the Drell-Yan process cross section. In particular, we focus on the next-to-leading twist contributions for polarized scattering and on the cross section differential in…

High Energy Physics - Phenomenology · Physics 2009-10-31 Daniel Boer , P. J. Mulders

We extract the pion transverse momentum dependent (TMD) parton distribution by fitting the pion-induced Drell-Yan process within the framework of TMD factorization. The analysis is done at the next-to-next-to-leading order (NNLO) with…

High Energy Physics - Phenomenology · Physics 2020-01-08 Alexey Vladimirov

We investigate the dependence of the Drell-Yan cross section on lepton polar and azimuthal angles, as generated by the lowest-order QCD annihilation and Compton processes. We focus in particular on the azimuthal-angular distributions, which…

High Energy Physics - Phenomenology · Physics 2010-03-25 Daniel Boer , Werner Vogelsang

The Drell-Yan process is studied in the framework of TMD factorization in the Sudakov region $s\gg Q^2\gg q_\perp^2$ corresponding to recent LHC experiments with $Q^2$ of order of mass of Z-boson and transverse momentum of DY pair $\sim$…

High Energy Physics - Phenomenology · Physics 2021-07-27 Ian Balitsky

We construct an improved implementation for combining transverse-momentum-dependent (TMD) factorization and collinear factorization. TMD factorization is suitable for low transverse momentum physics, while collinear factorization is…

High Energy Physics - Phenomenology · Physics 2016-08-17 J. Collins , L. Gamberg , A. Prokudin , T. C. Rogers , N. Sato , B. Wang

We revisit the calculation of perturbative quark transverse momentum dependent parton distribution functions and fragmentation functions using the exponential regulator for rapidity divergences. We show that the exponential regulator…

High Energy Physics - Phenomenology · Physics 2020-01-08 Ming-Xing Luo , Xing Wang , Xiaofeng Xu , Li Lin Yang , Tong-Zhi Yang , Hua Xing Zhu

Quarkonium production in hadron collisions at low transverse momentum $q_\perp \ll M$ with $M$ as the quarkonium mass can be used for probing transverse momentum dependent (TMD) gluon distributions. For this purpose, one needs to establish…

High Energy Physics - Phenomenology · Physics 2013-08-13 J. P. Ma , J. X. Wang , S. Zhao