Non-factorizable contributions to deep inelastic scattering at large x

Abstract

We use soft-collinear effective theory (SCET) to study the factorization properties of deep inelastic scattering in the region of phase space where 1-x = O(Lambda_{QCD/Q}). By applying a regions analysis to loop diagrams in the Breit frame, we show that the appropriate version of SCET includes anti-hard-collinear, collinear, and soft-collinear fields. We find that the effects of the soft-collinear fields spoil perturbative factorization even at leading order in the 1/Q expansion.

arXiv comment22 pages, 4 figures. Reference added, other small changes for journal version

References in corpus (26)

• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• Asymptotic expansion of Feynman integrals near threshold
• Summing Sudakov logarithms in B -> X_s + gamma in effective field theory
• Hard Scattering Factorization from Effective Field Theory
• Soft-collinear effective theory and heavy-to-light currents beyond leading power
• Structure functions for large $x$ and renormalization of Wilson loops
• Multipole-expanded soft-collinear effective theory with non-abelian gauge symmetry
• Factorization and Shape-Function Effects in Inclusive B-Meson Decays
• Factorization of heavy-to-light form factors in soft-collinear effective theory
• Factorization and Endpoint Singularities in Heavy-to-Light decays
• Deep inelastic scattering as x -> 1 using soft-collinear effective theory
• Reparameterization Invariance for Collinear Operators
• Summing up Subleading Sudakov Logarithms
• Infrared factorization in inclusive B meson decays
• Collinear effective theory at subleading order and its application to heavy-light currents
• Spectator Interactions in Soft-Collinear Effective Theory
• Renormalization-Group Improved Calculation of the B->Xs+gamma Branching Ratio
• Shape function effects in B -> X_s gamma and B -> X_u l nu decays
• B -> X_u l nu decay distributions to order alpha_s
• Subleading Shape Functions in Inclusive B Decays
• Factorization and the Soft Overlap Contribution to Heavy-to-Light Form Factors
• Factorization for Power Corrections to B->Xs gamma and B-> Xu e nu
• Power corrections to B\to X_u l ν(X_sγ) decay spectra in the "shape-function" region
• Soft-Collinear Messengers: A New Mode in Soft-Collinear Effective Theory
• External Operators and Anomalous Dimensions in Soft-Collinear Effective Theory

Cited by in corpus (9)

• Factorization and Momentum-Space Resummation in Deep-Inelastic Scattering
• Threshold Resummation in Momentum Space from Effective Field Theory
• Threshold Resummation for Higgs Production in Effective Field Theory
• Threshold resummation in SCET vs. perturbative QCD: an analytic comparison
• Resummation prescriptions and ambiguities in SCET vs. direct QCD: Higgs production as a case study
• QCD Factorization for Deep-Inelastic Scattering At Large Bjorken $x_B\sim 1-\mathcal{O}({\Lambda }_{\mathrm{QCD}}/Q$
• Threshold resummation for computing large-$x$ parton distribution through large-momentum effective theory
• Infrared Scales and Factorization in QCD
• Rapidity Divergences and Deep Inelastic Scattering in the Endpoint Region