Rapidity Divergences and Deep Inelastic Scattering in the Endpoint Region
Oct, 201211 pages
Published in:
- Phys.Rev.D 91 (2015) 9, 094011
- Published: May 12, 2015
e-Print:
- 1210.1508 [hep-ph]
Citations per year
Abstract: (APS)
The deep inelastic scattering cross section in the endpoint region x∼1 has been subjected to extensive analysis. We revisit this process using soft collinear effective theory, and show that in the endpoint individual factors in the factorized hadronic tensor have rapidity divergences. We regulate these divergences using a recently introduced rapidity regulator, and find that each operator matrix element requires a different scale to minimize large rapidity logarithms. However, the running in rapidity is nonperturbative and must be absorbed into the definition of the parton distribution function.Note:
- 18 pages, 3 figures
- 12.39.St
- 12.38.-t
- 13.60.-r
- 11.10.Ef
- parton: distribution function
- rapidity
- regularization
- deep inelastic scattering
- factorization
- soft collinear effective theory
References(23)
Figures(3)
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