Deep inelastic scattering near the endpoint in soft-collinear effective theory
arXiv:hep-ph/0511066 · doi:10.1103/PhysRevD.75.016003
Abstract
We apply the soft-collinear effective theory (SCET) to deep inelastic scattering near the endpoint region. The forward scattering amplitude, and the structure functions are shown to factorize as a convolution of the Wilson coefficients, the jet functions, the parton distribution functions. The behavior of the parton distribution functions near the endpoint region is considered. It turns out that it evolves with the Altarelli-Parisi kernel even in the endpoint region, and the parton distribution function can be factorized further into a collinear part and the soft Wilson line. The factorized form for the structure functions is obtained by the two-step matching, and the radiative corrections or the evolution for each factorized part can be computed in perturbation theory. We present the radiative corrections of each factorized part to leading order in alpha_s, including the zero-bin subtraction for the collinear part.
40 pages, 12 figures. Two major changes: (1) The zero-bin subtraction is included in the radiative corrections for the collinear part. (2) The parton distribution function near the endpoint region is considered including the soft part. Figures and references are added accordingly
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- Factorization for generic jet production
- Threshold resummation in SCET vs. perturbative QCD: an analytic comparison
- Generalized double-logarithmic large-x resummation in inclusive deep-inelastic scattering
- Towards all-order factorization of QED amplitudes at next-to-leading power
- Soft spectator scattering in the nucleon form factors at large within the SCET approach
- Threshold resummation for computing large- parton distribution through large-momentum effective theory
- Subleading Jet Functions in Inclusive B Decays
- Variable Flavor Number Scheme for Final State Jets in DIS
- Resummation prediction on top quark transverse momentum distribution at large pT
- On the Threshold Resummation in Forward pA Collisions
- Rapidity Divergences and Deep Inelastic Scattering in the Endpoint Region
- Structure of divergences in Drell-Yan process with small transverse momentum
- Threshold Factorization Redux
- Factorization theorem for high-energy scattering near the endpoint
- Endpoint behavior of high-energy scattering cross sections
- Gauge invariant spectral analysis of quark hadronization dynamics