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The one loop gluon emission light cone wave function

Tuomas Lappi
(
- Helsinki Inst. of Phys. and
- Jyvaskyla U.
)
,
Risto Paatelainen
(
- U. Santiago de Compostela (main) and
- Jyvaskyla U.
)

Nov 2, 2016

33 pages

Published in:

Annals Phys. 379 (2017) 34-66

Published: Apr, 2017

e-Print:

1611.00497 [hep-ph]

DOI:

10.1016/j.aop.2017.02.002

View in:

reference search33 citations

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Abstract: (Elsevier)

Light cone perturbation theory has become an essential tool to calculate cross sections for various small- x dilute-dense processes such as deep inelastic scattering and forward proton–proton and proton–nucleus collisions. Here we set out to do one loop calculations in an explicit helicity basis in the four dimensional helicity scheme. As a first process we calculate light cone wave function for one gluon emission to one-loop order in Hamiltonian perturbation theory on the light front. We regulate ultraviolet divergences with transverse dimensional regularization and soft divergences using a cut-off on longitudinal momentum. We show that when all the renormalization constants are combined, the ultraviolet divergences can be absorbed into the standard QCD running coupling constant, and give an explicit expression for the remaining finite part.

Note:

V2: Typo corrections and clarifications to text, t.b.p, Annals Phys

24.85.+p
25.75.-q
12.38.Mh
Light cone perturbation theory
Gluon emission
wave function: light cone
regularization: dimensional
perturbation theory
ultraviolet
helicity

References(49)

Figures(28)

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