Proper factorization theorems in high-energy scattering near the endpoint

Abstract

Consistent factorization theorems in high-energy scattering near the threshold are presented in the framework of the soft-collinear effective theory. Traditional factorization theorem separates the soft and collinear parts successfully, but a final step should be supplemented if each part encounters infrared divergence. We present factorization theorems in which the infrared divergences appear only in the parton distribution functions and the infrared divergence is removed by carefully separating and reorganizing collinear and soft parts. The underlying physical idea is to isolate and remove the soft contributions systematically from the collinear part in loop corrections order by order. After this procedure, each factorized term in the scattering cross sections is free of infrared divergence, and can be safely computed using perturbation theory. This factorization procedure can be applied to various high-energy scattering processes. We show factorization theorems in Drell-Yan processes, deep inelastic scattering and Higgs production near the endpoint.

36 pages, 4 figures. To be published in JHEP

References in corpus (10)

• Factorization and Momentum-Space Resummation in Deep-Inelastic Scattering
• Dynamical Threshold Enhancement and Resummation in Drell-Yan Production
• Renormalization-Group Improved Prediction for Higgs Production at Hadron Colliders
• Threshold Resummation in Momentum Space from Effective Field Theory
• Toward a NNLO calculation of the B-->X_s+gamma decay rate with a cut on photon energy: II. Two-loop result for the jet function
• The Quark Beam Function at NNLL
• Resummation of Threshold Logarithms in Effective Field Theory For DIS, Drell-Yan and Higgs Production
• QCD Factorization for Deep-Inelastic Scattering At Large Bjorken $x_B\sim 1-\mathcal{O}({\Lambda }_{\mathrm{QCD}}/Q$
• Infrared Safety in Factorized Hard Scattering Cross-Sections
• Factorization theorem for high-energy scattering near the endpoint

Cited by in corpus (6)

• Production of Stoponium at the LHC
• Variable Flavor Number Scheme for Final State Jets in DIS
• Factorization of the dijet cross section in electron-positron annihilation with jet algorithms
• Deciphering Twist-3 Chiral-Even GPDs in the Light-Front Quark-Diquark Model
• Threshold Factorization Redux
• Rapidity regulators in the semi-inclusive deep inelastic scattering and Drell-Yan processes