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Transverse momentum dependent parton distribution functions (TMDPDFs) encode information about the intrinsic motion of quarks inside the nucleon. They are important non-perturbative ingredients in our understanding of, e.g., azimuthal…

High Energy Physics - Lattice · Physics 2008-11-11 Bernhard U. Musch , Philipp Hägler , Andreas Schäfer , Dru B. Renner , John W. Negele , LHPC Collaboration

We present a novel method of extraction of the Collins-Soper kernel directly from the comparison of differential cross-sections measured at different energies. Using this method, we analyze the pseudo-data generated by the CASCADE event…

High Energy Physics - Phenomenology · Physics 2022-06-03 Armando Bermudez Martinez , Alexey Vladimirov

We calculate the soft function using lattice QCD in the framework of large momentum effective theory incorporating the one-loop perturbative contributions. The soft function is a crucial ingredient in the lattice determination of light cone…

Two main frameworks for defining transverse momentum dependent (TMD) parton densities are the Collins-Soper-Sterman (CSS) formalism, and the Parton Branching (PB) approach. While PB-TMDs have an explicit dependence on a single scale which…

High Energy Physics - Phenomenology · Physics 2023-09-21 Armando Bermudez Martinez

Transverse momentum dependent parton distributions (TMDPDFs) which appear in factorized cross sections involve infinite Wilson lines with edges on or close to the light-cone. Since these TMDPDFs are not directly calculable with a Euclidean…

High Energy Physics - Phenomenology · Physics 2019-09-11 Markus A. Ebert , Iain W. Stewart , Yong Zhao

Transverse momentum dependent parton distribution functions (TMDPDFs) provide a unique probe of the three-dimensional spin structure of hadrons. We construct spin-dependent quasi-TMDPDFs that are amenable to lattice QCD calculations and…

High Energy Physics - Phenomenology · Physics 2020-10-02 Markus A. Ebert , Stella T. Schindler , Iain W. Stewart , Yong Zhao

The transverse momentum dependent (TMD) soft function and Collins-Soper (CS) kernel may be obtained by formulating the Wilson line in terms of auxiliary one-dimensional fermion fields on the lattice. Our computation takes place in the…

High Energy Physics - Lattice · Physics 2024-12-18 Anthony Francis , Issaku Kanamori , C. -J. David Lin , Wayne Morris , Yong Zhao

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

Quark bilinear operators with staple-shaped Wilson lines are used to study transverse-momentum-dependent parton distribution functions (TMDPDFs) from lattice quantum chromodynamics (QCD). Here, the renormalization factors for the isovector…

High Energy Physics - Lattice · Physics 2020-04-15 Phiala Shanahan , Michael L. Wagman , Yong Zhao

We present the first lattice QCD calculations of the isovector helicity transverse momentum-dependent parton distribution function (TMDPDF) and the flavor-dependent unpolarized TMDPDFs for up and down quarks in the proton. Our computations…

High Energy Physics - Lattice · Physics 2025-11-18 Dennis Bollweg , Xiang Gao , Swagato Mukherjee , Yong Zhao

We present a fit of the transverse momentum spectrum for Drell-Yan and semi-inclusive deep inelastic scattering data, based on transverse momentum dependent (TMD) factorization at N$^4$LL accuracy. Our analysis shows good agreement with the…

High Energy Physics - Phenomenology · Physics 2025-10-06 Valentin Moos , Ignazio Scimemi , Alexey Vladimirov , Pia Zurita

Large momentum effective theory allows extraction of hadron parton distribution functions in lattice QCD by matching them to quark bilinear matrix elements of hadrons with large momenta. We calculate the matching kernels for the…

High Energy Physics - Lattice · Physics 2022-08-17 Chien-Yu Chou , Jiunn-Wei Chen

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 revisit the factorization of inclusive deep inelastic scattering near the kinematic threshold to explicitly track off-lightcone effects. Particle production develops around two opposite near-lightcone directions like in…

High Energy Physics - Phenomenology · Physics 2025-02-24 Andrea Simonelli , Alberto Accardi , Matteo Cerutti , Caroline S. R. Costa , Andrea Signori

By considering semi-inclusive deep-inelastic scattering and the (complementary) $q_T$-spectrum for Drell-Yan lepton pair production we derive the QCD evolution for all the leading-twist transverse momentum dependent distribution and…

High Energy Physics - Phenomenology · Physics 2014-07-10 Miguel G. Echevarria , Ahmad Idilbi , Ignazio Scimemi

We present the extraction of unpolarized quark transverse momentum dependent parton distribution functions (TMDPDFs) and the non-perturbative part of TMD evolution kernel from the global analysis of Drell-Yan and $Z$-boson production data.…

High Energy Physics - Phenomenology · Physics 2019-06-26 Valerio Bertone , Ignazio Scimemi , Alexey Vladimirov

In the preparation period for precision measurements in the newly planned collider experiments, the understanding of the 3D structure of hadron is becoming increasingly urgent. This triggers the activities to include elements of Transverse…

High Energy Physics - Phenomenology · Physics 2025-01-16 Aleksandra Lelek

In this work, we study the renormalization of nonlocal quark bilinear operators containing an asymmetric staple-shaped Wilson line at the one-loop level in both lattice and continuum perturbation theory. These operators enter the…

High Energy Physics - Lattice · Physics 2024-06-10 Gregoris Spanoudes , Martha Constantinou , Haralambos Panagopoulos

Following an earlier derivation by Catani-de Florian-Grazzini (2000) on the scheme dependence in the Collins-Soper-Sterman (CSS) resummation formalism in hard scattering processes, we investigate the scheme dependence of the Transverse…

High Energy Physics - Phenomenology · Physics 2015-10-07 Alexei Prokudin , Peng Sun , Feng Yuan

We examine the QCD evolution for the transverse momentum dependent observables in hard processes of semi-inclusive hadron production in deep inelastic scattering and Drell-Yan lepton pair production in $pp$ collisions, including the…

High Energy Physics - Phenomenology · Physics 2013-12-16 Peng Sun , Feng Yuan