Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-07-03
Nucl.Phys.B763:183-197,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
15 pages, 1 fig. included
Scientific paper
10.1016/j.nuclphysb.2006.11.020
We study deep-inelastic scattering factorization on a nucleon in the end-point regime $x_B \sim 1-{\cal O}(\Lambda_{\rm QCD}/Q)$ 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.
Chen Panying
Idilbi Ahmad
Ji Xiangdong
No associations
LandOfFree
QCD Factorization for Deep-Inelastic Scattering At Large Bjorken $x_B \sim 1-{\cal O}(Λ_{\rm QCD}/Q$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with QCD Factorization for Deep-Inelastic Scattering At Large Bjorken $x_B \sim 1-{\cal O}(Λ_{\rm QCD}/Q$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and QCD Factorization for Deep-Inelastic Scattering At Large Bjorken $x_B \sim 1-{\cal O}(Λ_{\rm QCD}/Q$ will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-415640