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We provide an analysis of the x-dependence of the bare unpolarized, helicity and transversity iso-vector parton distribution functions (PDFs) from lattice calculations employing (maximally) twisted mass fermions. The x-dependence of the…

The extension of the statistical parton distributions to include their transverse momentum dependence (TMD) is revisited by considering that the proton target has a finite longitudinal momentum. The TMD will be generated by means of a…

High Energy Physics - Phenomenology · Physics 2015-06-15 Claude Bourrely , Franco Buccella , Jacques Soffer

We evaluate the complete set of kinematic power corrections (KPCs) to the leading power (LP) term of the transverse momentum dependent (TMD) factorization theorem for semi-inclusive deep-inelastic scattering (SIDIS) with a polarized target.…

High Energy Physics - Phenomenology · Physics 2025-10-17 Sara Piloneta , Alexey Vladimirov

We review methods and results for extracting the anomalous dimensions of operators from lattice field theory calculations. The most important application is the anomalous mass dimension in conformal or nearly conformal gauge field theories…

High Energy Physics - Lattice · Physics 2016-05-04 Joel Giedt

In a recent work \cite{Anderson:2010aq}, Anderson \emph{et al.} used the renormalization group (RG) evolution of the momentum distribution to show that, under appropriate conditions, operator expectation values exhibit factorization in the…

Nuclear Theory · Physics 2013-05-30 S. K. Bogner , D. Roscher

Our knowledge on the three-dimensional momentum structure of hadrons is encoded in the Transverse Momentum Dependent partonic distribution and fragmentation functions (TMDs). A brief and updated review of the TMDs and of the processes in…

High Energy Physics - Phenomenology · Physics 2015-05-30 M. Boglione

We consider a continuous-time simple symmetric random walk on the integer lattice $\mathbb{Z}^d$ in dimension $d \geq 3$, subject to a random potential given by a field of two-sided Wiener processes. In the high-temperature regime, we prove…

Probability · Mathematics 2026-05-12 Tobias Hurth , Konstantin Khanin , Beatriz Navarro Lameda

We present a new method, based on Gaussian process regression, for reconstructing the continuous $x$-dependence of parton distribution functions (PDFs) from quasi-PDFs computed using lattice QCD. We examine the origin of the unphysical…

High Energy Physics - Lattice · Physics 2020-11-25 Constantia Alexandrou , Giovanni Iannelli , Karl Jansen , Floriano Manigrasso

We derive a factorization theorem for the differential distributions of electroweak gauge bosons in Drell-Yan processes, valid at low transverse momentum, using the Soft-Collinear Effective Theory (SCET). We present the next-to-leading…

High Energy Physics - Phenomenology · Physics 2011-03-29 Sonny Mantry , Frank Petriello

We consider semi-inclusive deep inelastic scattering (SIDIS) and Drell-Yan events within transverse momentum dependent (TMD) factorization. Based on the simultaneous fit of multiple data points, we extract the unpolarized TMD distributions…

High Energy Physics - Phenomenology · Physics 2020-07-15 Ignazio Scimemi , Alexey Vladimirov

We present a solution of the DGLAP evolution equations, written in terms of Sudakov form factors to describe the branching and no-branching probabilities, using a parton branching Monte Carlo method. We demonstrate numerically that this…

High Energy Physics - Phenomenology · Physics 2017-10-12 Aleksandra Lelek

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

We study parton-branching solutions of QCD evolution equations and present a method to construct both collinear and transverse momentum dependent (TMD) parton densities from this approach. We work with next-to-leading-order (NLO) accuracy…

High Energy Physics - Phenomenology · Physics 2018-02-14 F. Hautmann , H. Jung , A. Lelek , V. Radescu , R. Zlebcik

This paper is a part of a series of works where we in detail examine the concept of Transverse Momentum Dependent (TMD), or k_T, factorization, which is frequently encountered in the literature and is widely used in the phenomenological…

High Energy Physics - Phenomenology · Physics 2012-04-03 Emil Avsar

We survey the current phenomenological status of semi-inclusive deep inelastic scattering at moderate hard scales and in the limit of very large transverse momentum. As the transverse momentum becomes comparable to or larger than the…

High Energy Physics - Phenomenology · Physics 2018-12-19 J. O. Gonzalez-Hernandez , T. C. Rogers , N. Sato , B. Wang

We discuss the renormalization of gauge-invariant transverse-momentum dependent (TMD), i.e., unintegrated, parton distribution functions (PDFs) and carry out the calculation of their anomalous dimension at one loop. We show that in the…

High Energy Physics - Phenomenology · Physics 2008-10-01 N. G. Stefanis , I. O. Cherednikov

We develop a theoretical framework to match transverse momentum dependent parton distribution functions (TMD PDFs) onto chiral effective theory operators. In this framework the TMD PDF is expressed as a convolution of TMD hadronic…

High Energy Physics - Phenomenology · Physics 2024-05-27 Marston Copeland , Thomas Mehen

Matching of the quasi parton distribution functions between continuum and lattice is addressed using lattice perturbation theory specifically with Wilson-type fermions. The matching is done for nonlocal quark bilinear operators with a…

High Energy Physics - Lattice · Physics 2018-04-18 Tomomi Ishikawa

Factorizing the cross section for single hadron production in $e^+e^-$ annihilations, differential in $z_h$, $P_T$ and thrust, is a highly non trivial task. We have devised a factorization scheme that allows us to recast the $e^+e^- \to hX$…

High Energy Physics - Phenomenology · Physics 2021-08-11 M. Boglione , J. O. Gonzalez-Hernandez , A. Simonelli

We study a simple lattice model with local symmetry, whose construction is based on a crossed module of finite groups. Its dynamical degrees of freedom are associated both to links and faces of a four-dimensional lattice. In special limits…

High Energy Physics - Lattice · Physics 2021-09-29 Arkadiusz Bochniak , Leszek Hadasz , Piotr Korcyl , Błażej Ruba
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