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Related papers: Causality constraints on TMD PDF

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The color gauge-invariant transverse momentum dependent (TMD) quark correlators contain process dependent gauge links in the bilocal matrix elements. In this paper, we split these process dependent correlators into universal TMD…

High Energy Physics - Phenomenology · Physics 2013-05-30 M. G. A. Buffing , A. Mukherjee , P. J. Mulders

We study transverse momentum dependent factorization and resummation at sub-leading power in Drell-Yan and semi-inclusive deep inelastic scattering. In these processes the sub-leading power contributions to the cross section enter as a…

High Energy Physics - Phenomenology · Physics 2023-02-15 Leonard Gamberg , Zhong-Bo Kang , Ding Yu Shao , John Terry , Fanyi Zhao

We examine the spatial density within extended objects of the momentum component $p^+$, and find relativistically exact connections to Fourier transforms of gravitational form factors. We apply these results to obtain semi-empirical…

High Energy Physics - Phenomenology · Physics 2008-11-26 Zainul Abidin , Carl E. Carlson

If a macromolecule is described by curvilinear coordinates or rigid constraints are imposed, the equilibrium probability density that must be sampled in Monte Carlo simulations includes the determinants of different mass-metric tensors. In…

Quantitative Methods · Quantitative Biology 2007-12-19 Pablo Echenique , Ivan Calvo

I review lattice-QCD calculations of the electromagnetic and generalized form factors (GFFs), which determine the transverse structure of the nucleon, and briefly comment on recent calculations related to transverse-momentum dependent…

High Energy Physics - Lattice · Physics 2010-11-19 Harvey B. Meyer

We present a global analysis of Sivers functions, transversity distribution functions, and Collins fragmentation functions within the transverse momentum dependent factorization. This analysis encompasses the latest data from semi-inclusive…

High Energy Physics - Phenomenology · Physics 2024-12-25 Chunhua Zeng , Hongxin Dong , Tianbo Liue , Peng Sun , Yuxiang Zhao

I show that the forms of the Collins-Soper-Sterman and renormalization-group equations for the evolution of transverse-momentum-dependent (TMD) parton densities in QCD follow from the structure of TMD factorization. A derivation does not…

High Energy Physics - Phenomenology · Physics 2019-11-28 John Collins

We report on the first global analysis of transverse momentum dependent helicity distributions of the proton. The analysis is performed at next-to-leading order with the evolution factor at next-to-next-to-leading-logarithmic accuracy.…

High Energy Physics - Phenomenology · Physics 2025-04-01 Ke Yang , Tianbo Liu , Peng Sun , Yuxiang Zhao , Bo-Qiang Ma

Differential measurements of the semi-inclusive deep inelastic scattering (SIDIS) process with polarized beams provide important information on the three-dimensional structure of hadrons. Among the various observables are azimuthal…

High Energy Physics - Phenomenology · Physics 2023-06-21 Markus A. Ebert , Anjie Gao , Iain W. Stewart

Transverse Momentum Dependent (TMD) parton distribution functions (PDFs) also take into account the transverse momentum ($p_T$) of the partons. The $p_T$-integrated analogues can be linked directly to quark and gluon matrix elements using…

High Energy Physics - Phenomenology · Physics 2014-04-02 P. J. Mulders , M. G. A. Buffing

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 contribution to Light Cone 2014, three average transverse momentum quantities are discussed: the Sivers shift, the dijet imbalance, and the $p_T$ broadening. The definitions of these quantities involve integrals over all transverse…

High Energy Physics - Phenomenology · Physics 2015-06-23 Daniel Boer

The transverse momentum dependent (TMD) factorization theorem accommodates various types of power corrections. Among them, the least studied are qT/Q corrections, which become significant at large values of transverse momentum. These…

High Energy Physics - Phenomenology · Physics 2025-04-01 Arturo Arroyo-Castro , Ignazio Scimemi , Alexey Vladimirov

Transverse momentum dependent parton distributions (TMDs) appear in many scattering processes at high energy, from the semi-inclusive DIS experiments at a few GeV to the Higgs transverse momentum distribution at the LHC. Predictions for TMD…

High Energy Physics - Phenomenology · Physics 2016-03-23 Daniel Boer

We derive relations between polarized transverse momentum dependent distribution functions (TMDs) and the usual parton distribution functions (PDFs) in the 3D covariant parton model, which follow from Lorentz invariance and the assumption…

High Energy Physics - Phenomenology · Physics 2015-03-17 A. V. Efremov , P. Schweitzer , O. V. Teryaev , P. Zavada

Electromagnetic form factors have long been used to probe the underlying charge and magnetization densities of hadrons and nuclei. Traditional three-dimensional Fourier transform methods are not rigorously applicable for systems with…

Nuclear Theory · Physics 2015-05-18 Gerald A. Miller

We give a criterion for H-convergence of conductivity matrices in terms of ordinary weak convergence of the factors in certain quotient representations of the matrices.

Analysis of PDEs · Mathematics 2007-05-23 Björn Gustafsson , Jacqueline Mossino

Transverse momentum dependent (TMD) distributions at small x exhibit a rich infinite twist structure that encompasses the leading twist (partonic) distributions as well as the physics of gluon saturation. Progress to further the connection…

High Energy Physics - Phenomenology · Physics 2020-09-30 Renaud Boussarie , Yacine Mehtar-Tani

Transverse-momentum-dependent parton distributions (TMDs) provide three-dimensional images of the partonic structure of the nucleon in momentum space. We made impressive progress in understanding TMDs, both from the theoretical and…

High Energy Physics - Phenomenology · Physics 2015-05-20 Alessandro Bacchetta

Model-independent constraints on hadronic form factors, in particular those describing exclusive semileptonic decays, can be derived from the knowledge of field correlators calculated in perturbative QCD, using analyticity and unitarity.…

High Energy Physics - Phenomenology · Physics 2017-09-06 Irinel Caprini , Benjamin Grinstein , Richard F. Lebed