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The lattice gauge theory technique for non-perturbative calculations in QCD is reviewed. The extraction of the continuum limit of lattice results is discussed with particular examples appropriate to hadron spectroscopy (the light hadrons…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. Michael

Momentum and spatial distributions of quarks and gluons inside hadrons are typically encoded in the so-called generalized parton distributions (GPDs). GPDs are multi-dimensional quantities that are very challenging to extract, both…

Following a ground-breaking proposal by Ji~\cite{PhysRevLett.110.262002}, numerical simulations of Quantum Chromo Dynamics (QCD) on a Euclidean lattice have provided new, valuable information on the structure of hadrons. In this talk, we…

High Energy Physics - Lattice · Physics 2022-11-29 Luigi Del Debbio

A high-energy Electron-Ion Collider (EIC) would offer a most promising tool to study in detail the transverse momentum distributions of gluons inside hadrons. This applies to unpolarized as well as linearly polarized gluons inside…

High Energy Physics - Phenomenology · Physics 2016-04-20 Daniël Boer

We argue that the study of heavy quarkonia, in particular that of $\Upsilon$, produced back-to-back with an isolated photon in $pp$ collisions at the LHC is the best --and currently unique-- way to access the distribution of both the…

High Energy Physics - Phenomenology · Physics 2014-06-11 Wilco J. den Dunnen , Jean-Philippe Lansberg , Cristian Pisano , Marc Schlegel

Linearly polarized gluons inside an unpolarized proton contribute to the transverse momentum distributions of (pseudo)scalar particles produced in hadronic collisions, such as Higgs bosons and quarkonia with even charge conjugation…

High Energy Physics - Phenomenology · Physics 2015-06-23 Cristian Pisano

We present the first calculation of the $x$-dependence of the isovector transversity generalized parton distributions (GPDs) for the proton within lattice QCD. We compute the matrix elements with non-local operators containing a Wilson…

The in-medium dispersion of hard partons, encoded in their so-called asymptotic mass, receives large non-perturbative contributions from classical gluons, i.e. soft gluons with large occupation numbers. Here, we discuss how the analytical…

High Energy Physics - Phenomenology · Physics 2023-07-19 Jacopo Ghiglieri , Guy D. Moore , Philipp Schicho , Niels Schlusser , Eamonn Weitz

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

Parton distribution functions are key quantities for us to understand the hadronic structures in high-energy scattering, but they are difficult to calculate from lattice QCD. Recent years have seen fast development of the large-momentum…

High Energy Physics - Phenomenology · Physics 2019-04-29 Yong Zhao

Chiral dynamics makes definitive predictions for the electromagnetic polarizabilities of hadrons near the chiral limit; but, agreement with experiment is tenuous in some cases. We provide an overview of lattice QCD methods to compute the…

High Energy Physics - Lattice · Physics 2013-01-22 B. C. Tiburzi

This work applies lattice QCD to compute quark momentum distributions in the nucleon. We explore a novel approach based on non-local operators in order to analyze transverse momentum dependent parton distribution functions, which encode…

High Energy Physics - Lattice · Physics 2009-07-15 Bernhard U. Musch

The total gluon helicity in a polarized proton, measurable in high-energy scattering, is shown to be the large momentum limit of a gauge-invariant but non-local, frame-dependent gluon spin $\vec{E}\times \vec{A}_\perp$ in QCD. This opens a…

High Energy Physics - Phenomenology · Physics 2013-09-16 Xiangdong Ji , Jian-Hui Zhang , Yong Zhao

We discuss the bounds on polarized parton distributions which follow from their definition in terms of cross section asymmetries. We spell out how the bounds obtained in the naive parton model can be derived within perturbative QCD at…

High Energy Physics - Phenomenology · Physics 2023-12-14 Guido Altarelli , Stefano Forte , Giovanni Ridolfi

We propose to calculate the gluon condensate in lattice QCD in an indirect way by extracting it from the correlator of hadronic currents of heavy quarks. Moments (derivatives with respect to momentum at vanishing momentum) of the vector and…

High Energy Physics - Lattice · Physics 2009-10-28 Alexander Bochkarev

We show that the gluon distribution function for very large nuclei may be computed for small transverse momentum as correlation functions of an ultraviolet finite two dimensional Euclidean field theory. This computation is valid to all…

High Energy Physics - Phenomenology · Physics 2009-10-22 Larry McLerran , Raju Venugopalan

We consider the transverse momentum dependent gluon distribution functions (called gluon TMDs) by studying the light-front gluon-gluon correlator, extending the results for unpolarized and vector polarized targets to also include tensor…

High Energy Physics - Phenomenology · Physics 2018-01-17 Sabrina Cotogno , Tom van Daal , Piet J. Mulders

We present and use a technique for implementing in a fast way, and without any approximations, higher-order calculations of partonic cross sections into global analyses of parton distribution functions. The approach, which is set up in…

High Energy Physics - Phenomenology · Physics 2011-03-23 M. Stratmann , W. Vogelsang

We present a calculation of the leading-twist (twist-2) generalized transverse momentum distributions (GTMDs) for unpolarized and longitudinally polarized gluons in the proton, using a recently developed light-front gluon spectator model…

High Energy Physics - Phenomenology · Physics 2025-12-23 Dipankar Chakrabarti , Bheemsehan Gurjar , Asmita Mukherjee , Kauship Saha

We present the perturbative calculation of the leading-twist gluon transverse momentum dependent distribution functions (TMDPDFs) at one-loop level within large-momentum effective theory. By employing the basis of circular polarizations, we…

High Energy Physics - Phenomenology · Physics 2025-12-10 Xiupeng Xie , Zhun Lu