Infrared regulators and SCETII

Abstract

We consider matching from SCETI, which includes ultrasoft and collinear particles, onto SCETII with soft and collinear particles at one loop. Keeping the external fermions off their mass shell does not regulate all IR divergences in both theories. We give a new prescription to regulate infrared divergences in SCET. Using this regulator, we show that soft and collinear modes in SCETII are sufficient to reproduce all the infrared divergences of SCETI. We explain the relationship between IR regulators and an additional mode proposed for SCETII.

9 pages. Added discussion about relationship between IR regulators and messenger modes

References in corpus (9)

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• Threshold Resummation for Drell-Yan Process in Soft-Collinear Effective Theory
• Soft spectator scattering in the nucleon form factors at large $Q^2$ within the SCET approach
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• On Differences Between SCET and QCDF for B->pi pi Decays
• Infrared Safety in Factorized Hard Scattering Cross-Sections
• Soft, collinear and non-relativistic modes in radiative decays of very heavy quarkonium
• Infrared Scales and Factorization in QCD
• Heavy meson semileptonic differential decay rate in two dimensions in the large Nc
• Heavy Quark Symmetry in Nonleptonic B-Decays to Excited Charmed Mesons
• Soft-Collinear Factorization and Sudakov Resummation of Heavy Meson Decay Amplitudes with Effective Field Theories