QCD Factorization for Deep-Inelastic Scattering At Large Bjorken $x_B \sim 1-{\cal O}(Λ_{\rm QCD}/Q$

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dc.creatorChen, Panying
dc.creatorIdilbi, Ahmad
dc.creatorJi, Xiangdong
dc.date2006-07-03
dc.date.accessioned2026-07-07T10:41:50Z
dc.date.available2026-07-07T10:41:50Z
dc.descriptionWe study deep-inelastic scattering factorization on a nucleon in the end-point regime $x_B \sim 1-{\cal O}(Λ_{\rm QCD}/Q)$ where the traditional operator product expansion is supposed to fail. We argue, nevertheless, that the standard result holds to leading order in $1-x_B$ due to the absence of the scale dependence on $(1-x_B)Q$. Refactorization of the scale $(1-x_B)Q^2$ in the coefficient function can be made in the soft-collinear effective theory and remains valid in the end-point regime. On the other hand, the traditional refactorization approach introduces the spurious scale $(1-x_B)Q$ in various factors, which drives them nonperturbative in the region of our interest. We show how to improve the situation by introducing a rapidity cut-off scheme, and how to recover the effective theory refactorization by choosing appropriately the cut-off parameter. Through a one-loop calculation, we demonstrate explicitly that the proper soft subtractions must be made in the collinear matrix elements to avoid double counting.
dc.description15 pages, 1 fig. included
dc.identifierhttps://arxiv.org/abs/hep-ph/0607003
dc.identifierhttp://arxiv.org/abs/hep-ph/0607003
dc.identifierNucl.Phys.B763:183-197,2007
dc.identifierdoi:10.1016/j.nuclphysb.2006.11.020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/181751
dc.subjectHigh Energy Physics - Phenomenology
dc.titleQCD Factorization for Deep-Inelastic Scattering At Large Bjorken $x_B \sim 1-{\cal O}(Λ_{\rm QCD}/Q$
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