Evolution of transverse-distance dependent parton densities at large-$x_B$ and geometry of the loop space - INSPIRE

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Evolution of transverse-distance dependent parton densities at large- $x_B$ and geometry of the loop space

Igor O. Cherednikov
(
- Dubna, JINR and
- Antwerp U.
)
,
Tom Mertens
(
- Antwerp U.
)
,
Pieter Taels
(
- Antwerp U.
)
,
Frederik F. Van der Veken
(
- Antwerp U.
)

Aug 14, 2013

9 pages

Part of Proceedings, QCD Evolution Workshop : Newport News, VA, May 6-10, 2013

Published in:

Int.J.Mod.Phys.Conf.Ser. 25 (2014) 1460006

Contribution to:

- QCD 2013

Published: 2014

e-Print:

1308.3116 [hep-ph]

DOI:

10.1142/S2010194514600064

View in:

ADS Abstract Service

reference search10 citations

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Abstract: (arXiv)

We discuss possible applications of the equations of motion in the generalized Wilson loop space to the phenomenology of the three-dimensional parton distribution functions in the large-

x_B

approximation. This regime is relevant for future experimental programs to be launched at the (approved) Jefferson Lab 12 GeV upgrade and the (planned) Electron-Ion Collider. We show that the geometrical evolution of the Wilson loops corresponds to the combined rapidity and renormalization-group equation of the transverse-distance dependent parton densities in the large-

x_B

factorization scheme.

Note:

9 pages, 1 eps figure; needs ws-ijmpcs.cls (supplied). Invited talk presented at the QCD Evolution Workshop, May 6 -10, 2013, Thomas Jefferson National Accelerator Facility, Newport News (VA), USA

Wilson lines and loops
TMD PDFs
semi-inclusive hadronic processes
parton: distribution function
electron nucleon: colliding beams
Wilson loop
loop space
renormalization group
electron nucleus: colliding beams
field equations

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