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High energy hadronic scattering processes can be described in terms of partonic scattering processes and parton distribution and fragmentation functions. These are bilocal matrix elements of quark operators. Colour gauge-invariance requires…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. J. Bomhof

In this paper we discuss the incorporation of gauge links in hadronic matrix elements that describe the soft hadronic physics in high energy scattering processes. In this description the matrix elements appear in soft correlators and they…

High Energy Physics - Phenomenology · Physics 2011-09-02 M. G. A. Buffing , P. J. Mulders

Distribution functions in hard processes can be described by quark-quark correlators, nonlocal matrix elements of quark fields. Color gauge invariance requires inclusion of appropriate gauge links in these correlators. For transverse…

High Energy Physics - Phenomenology · Physics 2009-11-10 C. J. Bomhof , P. J. Mulders , F. Pijlman

Within the theoretical framework we apply, a suggested origin for single spin asymmetries is the presence of gauge links in transverse momentum dependent distribution functions. Recently we found new gauge link structures in a number of…

High Energy Physics - Phenomenology · Physics 2014-11-18 F. Pijlman

Transverse momentum dependent (TMD) parton correlators describing the partonic structure of hadrons contain gauge links, required by color gauge invariance. The required gauge links enter in the matrix elements that contain the parton…

High Energy Physics - Phenomenology · Physics 2013-10-02 M. G. A. Buffing , A. Mukherjee , P. J. Mulders

In light cone gauge, a gauge link at light cone infinity is necessary for transverse momentum-dependent parton distribution to restore the gauge invariance in some specific boundary conditions. We derive such transverse gauge link in a more…

High Energy Physics - Phenomenology · Physics 2010-09-01 Jian-Hua Gao

In this section, we discuss some basic features of transverse momentum dependent, or unintegrated, parton distribution functions. In particular, when these correlation functions are combined in a factorization formulae with hard processes…

High Energy Physics - Phenomenology · Physics 2011-02-23 P. J. Mulders , T. C. Rogers

Parton distributions contain factorizable final state interaction effects originating from the fast-moving struck quark interacting with the target spectators in deeply inelastic scattering. We show that these interactions give rise to…

High Energy Physics - Phenomenology · Physics 2010-04-05 A. V. Belitsky , X. Ji , F. Yuan

In high-energy scattering processes involving two or more hadrons one can measure observables that are sensitive to partonic transverse momentum, which is encoded in so-called transverse momentum dependent (TMD) parton distribution…

High Energy Physics - Phenomenology · Physics 2016-10-27 Tom van Daal

The gauge-links connecting the parton field operators in the hadronic matrix elements appearing in the transverse momentum dependent distribution functions give rise to T-odd effects. Due to the process-dependence of the gauge-links the…

High Energy Physics - Phenomenology · Physics 2010-10-27 C. J. Bomhof , P. J. Mulders

In this article, we review recent lattice calculations on the $x$-dependence of parton distributions, with the latter providing information on hadron structure. These calculations are based on matrix elements of boosted hadrons coupled to…

High Energy Physics - Lattice · Physics 2021-03-17 Martha Constantinou

Different approaches to the problem of a gauge-invariant operator definition of transverse-momentum dependent parton densities (TMDs) are reviewed and compared from the point of view of their compatibility with the operator definition of…

High Energy Physics - Phenomenology · Physics 2011-12-06 Igor O. Cherednikov

We describe the perturbative calculation of the transverse parton distribution functions in all partonic channels up to next-to-next-to-leading order based on a gauge invariant operator definition. We demonstrate the cancellation of…

High Energy Physics - Phenomenology · Physics 2022-02-08 Thomas Gehrmann , Thomas Luebbert , Li Lin Yang

We present a perturbative calculation of the transverse parton distribution functions in all partonic channels up to next-to-next-to-leading order based on a gauge invariant operator definition. We demonstrate for the first time that such a…

High Energy Physics - Phenomenology · Physics 2014-01-08 Thomas Gehrmann , Thomas Luebbert , Li Lin Yang

We review the latest progress in lattice QCD calculations of the partonic structure of hadrons. This structure is, in particular, described in terms of $x$-dependent distributions, the simplest of which are the standard parton distribution…

High Energy Physics - Lattice · Physics 2021-10-18 Krzysztof Cichy

In the field theoretical description of hadronic scattering processes, single transverse-spin asymmetries arise due to gluon initial and final state interactions. These interactions lead to process dependent Wilson lines in the operator…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. J. Bomhof , P. J. Mulders

We study the transverse momentum distribution of low-mass lepton pairs produced in hadronic scattering, using the perturbative QCD factorization approach. We argue that the distribution at large transverse momentum, $Q_T \gg Q$, with the…

High Energy Physics - Phenomenology · Physics 2009-03-24 Zhong-Bo Kang , Jian-Wei Qiu , Werner Vogelsang

We present a completely gauge-invariant operator definition of transverse-momentum-dependent parton densities (TMD), supplied with longitudinal lightlike gauge links as well as transverse gauge links at lightcone infinity. Within this…

High Energy Physics - Phenomenology · Physics 2011-11-30 I. O. Cherednikov , N. G. Stefanis

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

It is reported on an analysis of electroproduction of light mesons at small Bjorken-x within the handbag approach. The partonic subprocesses, meson electroproduction off quarks or gluons, are calculated within the modified perturbative…

High Energy Physics - Phenomenology · Physics 2015-05-19 P. Kroll
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