# QCD Factorization for Deep-Inelastic Scattering At Large Bjorken $x B sim 1-{cal O}Λ { m QCD}-Q$

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We study deep-inelastic scattering factorization on a nucleon in the end-point regime $x B \sim 1-{\cal O}\Lambda { m QCD}-Q$ 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 $1-x BQ$. Refactorization of the scale $1-x BQ^2$ 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 $1-x BQ$ 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.

Autor: Panying Chen; Ahmad Idilbi; Xiangdong Ji

Fuente: https://archive.org/