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Related papers: Collins-Soper Kernel for TMD Evolution from Lattic…

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In the QCD evolution of transverse momentum dependent parton distribution and fragmentation functions, the Collins-Soper evolution kernel includes both a perturbative short-distance contribution as well as a large-distance non-perturbative,…

High Energy Physics - Phenomenology · Physics 2014-05-28 C. A. Aidala , B. Field , L. P. Gamberg , T. C. Rogers

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 evaluate the pion and kaon transverse momentum dependent parton distribution functions (TMDPDFs) in the instanton liquid model (ILM), a model of the QCD vacuum at low resolution. The relevant TMDs are factored into a constituent quark…

High Energy Physics - Phenomenology · Physics 2025-10-31 Wei-Yang Liu , Ismail Zahed

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…

In this work, we perform a lattice QCD study of the intrinsic, rapidity-independent soft function within the framework of large momentum effective theory. The computation is carried out using a gauge ensemble of $N_f=2+1+1$ clover-improved…

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 evolution of transverse momentum dependent (TMD) distributions in Quantum Chromodynamics (QCD) can be formulated in a parton branching (PB) framework. We show that next-to-next-to-leading-logarithm (NNLL) accuracy can be achieved in…

High Energy Physics - Phenomenology · Physics 2025-09-15 A. Bermudez Martinez , F. Hautmann , L. Keersmaekers , A. Lelek , M. Mendizabal Morentin , S. Taheri Monfared , A. M. van Kampen

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

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 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

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

We discuss in detail a method to study transverse momentum dependent parton distribution functions (TMDs) using lattice QCD. To develop the formalism and to obtain first numerical results, we directly implement a bi-local quark-quark…

High Energy Physics - Lattice · Physics 2012-07-17 Bernhard U. Musch , Philipp Hägler , John W. Negele , Andreas Schäfer

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

We obtain the leading-twist valence quark transverse-momentum-dependent parton distribution functions (TMD PDFs) for the proton within the basis light-front quantization (BLFQ) framework. Our results are consistent with lattice QCD…

High Energy Physics - Phenomenology · Physics 2022-08-22 Zhi Hu , Siqi Xu , Chandan Mondal , Xingbo Zhao , James P. Vary

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 investigate the transverse momentum dependent parton distributions (TMDs) in the quasi-parton-distribution framework. The long standing hurdle of the so-called pinch pole singularity from the space-like gauge links in the TMD definitions…

High Energy Physics - Phenomenology · Physics 2019-06-12 Xiangdong Ji , Lu-Chang Jin , Feng Yuan , Jian-Hui Zhang , Yong Zhao

The three-dimensional momenta of quarks inside a hadron are encoded in transverse momentum-dependent parton distribution functions (TMDs). This work presents an exploratory lattice QCD study of a TMD observable in the pion describing the…

High Energy Physics - Lattice · Physics 2016-03-09 M. Engelhardt , P. Hägler , B. Musch , J. Negele , A. Schäfer

The Boer-Mulders transverse momentum-dependent parton distribution (TMD) characterizes polarized quark transverse momentum in an unpolarized hadron. Techniques previously developed for lattice calculations of nucleon TMDs are applied to the…

High Energy Physics - Lattice · Physics 2013-11-01 M. Engelhardt , B. Musch , P. Hägler , J. Negele , A. Schäfer

We present a lattice QCD calculation of transverse momentum dependent parton distribution functions (TMDs) of protons using staple-shaped Wilson lines. For time-reversal odd observables, we calculate the generalized Sivers and Boer-Mulders…

High Energy Physics - Lattice · Physics 2016-01-22 B. Yoon , T. Bhattacharya , M. Engelhardt , J. Green , R. Gupta , P. Hägler , B. Musch , J. Negele , A. Pochinsky , S. Syritsyn

The leading twist transverse momentum dependent parton distributions (TMDs) are studied in a light-cone description of the nucleon where the Fock expansion is truncated to consider only valence quarks. General analytic expressions are…

High Energy Physics - Phenomenology · Physics 2010-05-28 B. Pasquini , S. Cazzaniga , S. Boffi