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We show that the gauge-invariant transverse-momentum-dependent (TMD) quark distribution function can be expressed as a sum of all higher-twist collinear parton matrix elements in terms of a transport operator. From such a general…

High Energy Physics - Phenomenology · Physics 2008-11-26 Zuo-tang Liang , Xin-Nian Wang , Jian Zhou

We calculate next-to-next-to-leading order soft-gluon corrections to top quark total and differential cross sections in hadron colliders. We increase the accuracy of our previous estimates by including additional subleading terms, including…

High Energy Physics - Phenomenology · Physics 2009-11-10 Nikolaos Kidonakis , Ramona Vogt

We calculate the matching of the transversity and pretzelosity transverse momentum dependent distributions (TMD) on transversity collinear distribution at the next-to-next-to-leading order (NNLO). We find that the matching coefficient for…

High Energy Physics - Phenomenology · Physics 2018-08-15 Daniel Gutierrez-Reyes , Ignazio Scimemi , Alexey Vladimirov

Three-body decay functions in space-like parton branches are implemented to evaluate transverse-momentum-dependent (TMD) parton distribution functions in the next-to-leading logarithmic (NLL) order of quantum chromodynamics (QCD).…

High Energy Physics - Phenomenology · Physics 2015-04-08 Hidekazu Tanaka

In the TMD approach, the average transverse momentum of the unpolarised TMD PDFs and FFs is crucial not only to reproduce unpolarised cross sections and hadron multiplicities, but also for the understanding of azimuthal and spin…

High Energy Physics - Phenomenology · Physics 2019-02-14 M. Anselmino , M. Boglione , U. D'Alesio , F. Murgia , A. Prokudin

We derive the leading order matching of the quark generated polarized transverse momentum dependent (TMD) distributions onto the collinear functions at small values of the transverse distance. Starting from the very definition of the TMD…

High Energy Physics - Phenomenology · Physics 2018-10-17 Ignazio Scimemi , Alexey Vladimirov

Proof of transverse-momentum-dependent(TMD) factorization for hadron-hadron collision is given in this paper. We focus on processes without detected soft final hadrons or detected final hadrons that are collinear to initial hadrons. This…

High Energy Physics - Phenomenology · Physics 2016-11-25 Gao-Liang Zhou

By using the valon model, we calculate the Transverse Momentum Distribution functions, TMDs, inside the Nucleon. TMDs indicate the probability to find partons with spin aligned (anti- aligned) to the transversely polarized nucleon. The…

High Energy Physics - Phenomenology · Physics 2015-06-18 Z. Alizadeh Yazdi , F. Taghavi-Shahri , F. Arash , M. E. Zomorrodian

Transverse-momentum-dependent (TMD) gluon distributions have different operator definitions, depending on the process under consideration. We study that aspect of TMD factorization in the small-x limit, for the various unpolarized TMD gluon…

High Energy Physics - Phenomenology · Physics 2017-01-10 C. Marquet , E. Petreska , C. Roiesnel

We present a systematic framework to study the threshold contributions of the differential rapidity distribution for the production of any number of colorless particles in the hadronic colliders. This has been achieved based on the…

High Energy Physics - Phenomenology · Physics 2021-10-29 Taushif Ahmed , Ajjath A. H. , Pooja Mukherjee , V. Ravindran , Aparna Sankar

We discuss the most recent calculations of the top quark total cross section and transverse momentum distributions at the Tevatron and the LHC. These calculations include the soft-gluon corrections at next-to-next-to-leading order (NNLO).…

High Energy Physics - Phenomenology · Physics 2009-11-10 Nikolaos Kidonakis , Ramona Vogt

We develop a method of transverse momentum dependent (TMD) operator expansion that yields the TMD factorization theorem on the operator level. The TMD operators are systematically ordered with respect to TMD-twist, which allows a certain…

High Energy Physics - Phenomenology · Physics 2022-02-09 Alexey Vladimirov , Valentin Moos , Ignazio Scimemi

Transverse Momentum Dependent (TMD) parton distributions obtained from the Parton Branching (PB) method are combined with next-to-leading-order (NLO) calculations of Drell-Yan (DY) production. We apply the MCatNLO method for the hard…

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

The Parton Branching (PB) approach describes the evolution of transverse momentum dependent (TMD) parton densities. We propose to extend the PB method by including TMD splitting functions, instead of the DGLAP splitting functions which…

High Energy Physics - Phenomenology · Physics 2022-03-29 Lissa Keersmaekers

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 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

Explicit applications of factorization theorems for processes at hadron colliders near the hadronic endpoint have largely focused on simple final states with either no jets (e.g., Drell-Yan) or one inclusive jet (e.g., deep inelastic…

High Energy Physics - Phenomenology · Physics 2014-11-20 Christian W. Bauer , Nicholas Daniel Dunn , Andrew Hornig

The cross section for top quark pair production factorizes at small transverse momentum of the heavy quark pair, $q_T$. One of the key ingredients that appears in the factorization formula is the soft function, which mediates soft gluon…

High Energy Physics - Phenomenology · Physics 2018-11-15 Rene Angeles-Martinez , Michal Czakon , Sebastian Sapeta

We compute the two-loop soft function for the associated production of a top quark and a $W$ boson near the threshold, where the invariant mass of the $tW$ system approaches the collider energy. We employ the reverse unitarity technique and…

High Energy Physics - Phenomenology · Physics 2025-06-23 Jia-Le Ding , Hai Tao Li , Jian Wang