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We compute the quark and gluon transverse momentum dependent parton distribution functions at next-to-next-to-next-to-leading order (N$^3$LO) in perturbative QCD. Our calculation is based on an expansion of the differential Higgs boson and…

High Energy Physics - Phenomenology · Physics 2020-10-28 Markus A. Ebert , Bernhard Mistlberger , Gherardo Vita

We study the transverse momentum dependent (TMD) parton distributions at small-x in a consistent framework that takes into account the TMD evolution and small-x evolution simultaneously. The small-x evolution effects are included by…

High Energy Physics - Phenomenology · Physics 2017-06-28 Bo-Wen Xiao , Feng Yuan , Jian Zhou

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

I present a calculation of next-to-next-to-next-to-leading-order (NNNLO) soft-gluon corrections for differential distributions in top-antitop pair production in hadronic collisions. Approximate NNNLO (aNNNLO) results are obtained from…

High Energy Physics - Phenomenology · Physics 2015-03-05 Nikolaos Kidonakis

The partons' transverse momentum can be explored with QCD lattice simulations by studying the quasi-transverse-momentum-dependent parton distribution functions (qTMDPDFs), which are factorized in terms of physical TMDPDFs and soft factors…

High Energy Physics - Phenomenology · Physics 2023-12-19 Óscar del Río , Alexey Vladimirov

We report the results of calculations of inclusive soft hadron production in proton-lead collisions at the LHC in the framework of modified quark-gluon string model (QGSM) extended to $pA$ interactions. Our consideration involves the…

High Energy Physics - Phenomenology · Physics 2026-03-20 A. V. Lipatov , G. I. Lykasov , M. A. Malyshev

We study the unintegrated, or transverse momentum dependent (TMD) gluon distribution obtained from the best description of the LHC data on the inclusive spectra of hadrons produced in the mid-rapidity region and low transverse momenta at…

High Energy Physics - Phenomenology · Physics 2014-01-15 A. V. Lipatov , G. I. Lykasov , N. P. Zotov

I report on our investigations into the impact of (un)polarized transverse momentum dependent parton distribution functions (TMD PDFs or TMDs) for gluons at hadron colliders, especially at A Fixed Target Experiment at the LHC (AFTER@LHC).…

High Energy Physics - Phenomenology · Physics 2016-05-25 Andrea Signori

This work presents a determination of the quark Collins-Soper kernel, which relates transverse-momentum-dependent parton distributions (TMDs) at different rapidity scales, using lattice quantum chromodynamics (QCD). This is the first such…

High Energy Physics - Lattice · Physics 2024-02-13 Artur Avkhadiev , Phiala E. Shanahan , Michael L. Wagman , Yong Zhao

At small transverse momentum $q_T$, transverse-momentum dependent parton distribution functions (TMDPDFs) arise as genuinely nonperturbative objects that describe Drell-Yan like processes in hadron collisions as well as semi-inclusive…

High Energy Physics - Phenomenology · Physics 2019-02-21 Markus A. Ebert , Iain W. Stewart , Yong Zhao

We present new results of our studies of soft-gluon angular ordering effects on the evolution of both collinear and transverse momentum dependent (TMD) parton distribution functions, and discuss their implications for precision predictions…

High Energy Physics - Phenomenology · Physics 2019-10-29 Aleksandra Lelek

Transverse momentum dependent (TMD) distribution correlators can be parametrized in terms of TMD parton distribution functions (PDFs), or TMDs for short. We provide an overview of the leading-twist quark and gluon TMDs, both in momentum…

High Energy Physics - Phenomenology · Physics 2016-12-21 Tom van Daal

With a large integrated luminosity expected at the Tevatron, a next-to-leading order (NLO) calculation is no longer sufficient to describe the data which yield the precision measurement of $M_W$, etc. Thus, we extend the…

High Energy Physics - Phenomenology · Physics 2009-10-30 C. Balazs , C. -P. Yuan

The role of soft (non-perturbative) gluons in collinear parton densities and parton shower event generators is investigated with the Parton Branching method as a solution of the DGLAP evolution equations. It is found that soft gluons play a…

High Energy Physics - Phenomenology · Physics 2024-12-24 M. Mendizabal , F. Guzman , H. Jung , S. Taheri Monfared

I give a brief overview of our current understanding of the internal partonic 3D structure of nucleons in momentum space. I discuss some recent extractions of transverse-momentum-dependent distributions for quarks, whose analyses in the…

High Energy Physics - Phenomenology · Physics 2025-01-16 Marco Radici

In high-energy scattering processes involving two or more hadrons one can measure observables that are sensitive to partonic transverse momentum, which is encoded in so-called transverse momentum dependent (TMD) parton distribution…

High Energy Physics - Phenomenology · Physics 2016-10-27 Tom van Daal

The transverse-momentum-dependent distributions (TMDs), which are defined by gauge-invariant 3D parton correlators with staple-shaped lightlike Wilson lines, can be calculated from quark and gluon correlators fixed in the Coulomb gauge on a…

High Energy Physics - Phenomenology · Physics 2024-12-04 Yong Zhao

We study the evolution of the small $x$ gluon transverse momentum dependent(TMD) distribution in the dilute limit. The calculation has been carried out in the Ji-Ma-Yuan scheme using a simple quark target model. As expected, we find that…

High Energy Physics - Phenomenology · Physics 2016-07-20 Jian Zhou

We present the first lattice quantum chromodynamics (QCD) calculation of the pion valence-quark transverse-momentum-dependent parton distribution function (TMDPDF) within the framework of large-momentum effective theory (LaMET). Using…

High Energy Physics - Lattice · Physics 2025-10-09 Dennis Bollweg , Xiang Gao , Jinchen He , Swagato Mukherjee , Yong Zhao

We study the transverse-momentum (q_T) and rapidity (y) distributions of the Higgs boson in perturbative QCD, including the most advanced theoretical information presently available: fixed-order perturbation theory at Next-to-Leading Order…

High Energy Physics - Phenomenology · Physics 2009-11-13 Giuseppe Bozzi